Answer:
Step-by-step explanation:
Draw the solid line y = 3x. Now shade the region below this line.
I will simply invent a point: (2, -1). Here y = -1 and x = 2. Either this point is in the shaded region or it is not. Substituting 2 for x in y ≤ 3x, we get
y ≤ 3(2), or y ≤ 6. Is -1 less than 6? YES. So the (arbitrarily chosen) point (2, -1) is a solution of the given inequality.
Helpppp urgently ❤️❤️❤️❤️
Answer:
d. (x + 5)
Step-by-step explanation:
The factorization of 2x^2 - 4x - 70 is (x + 5)(2x - 14)
Answer:
2( x + 5 ) × ( x - 7 )
Step-by-step explanation:
2x² - 4x - 70
2( x² - 2x - 35)
2( x² + 5x - 7x - 35)
2(x × (x + 5) -7 (x + 5))
2(x + 5 ) × (x - 7)
12. What is the distance from the directrix (the Crocodile River) to the po
River) to the point (x,y)? Write this equation.
Your answer will contain a y-term. (2 points)
Answer:
Distance= y - 4
Step-by-step explanation:
Miriam is setting up a fishing game in a kiddie pool for her niece's birthday party. The pool has a circular base with a diameter of 4 feet and a height of 0.75 feet. She wants to fill the pool halfway so there is plenty of space left for the plastic fish. Approximately how many cubic feet of water does she need? 9.4 1.5 2.4 4.7
Answer:
4.7 feet³ of water
Step-by-step explanation:
Diameter of 4 feet
Radius = 2 feet
Height = 0.75 feet
Formula for Volume = 2·[tex]\pi[/tex]·radius·height
But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us: [tex]\pi[/tex]·radius·height
[tex]\pi[/tex]·2·0.75 = 4.71 feet³
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{15}[/tex]
Step-by-step explanation:
Set the output equal to 0.
[tex]-2x^2 +20x+150=0[/tex]
Factor left side of the equation.
[tex]-2(x+5)(x-15)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]-2(x+5)=0\\x+5=0\\x=-5[/tex]
Second possibility:
[tex]x-15=0\\x=15[/tex]
The value or prize cannot be negative.
[tex]x\neq -5\\ x=15[/tex]
Can someone pls help will mark as brainliest
Answer:
x<-14
Step-by-step explanation:
Hello,
If we multiply by positive numbers it does not change the inequality, right?
So let's multiply by 10 both sides, it comes
[tex]2(4x+1)+10<5(x-6) \\ \\\text{*** develop ***} \\ \\8x+2+10=8x+12 < 5x-30 \\ \\\text{*** subtract 5x ***} \\\\8x+12-5x=3x + 12 < -30 \\ \\\text{*** subtract 12 ***}\\ \\3x+12-12=3x<-30-12 \\ \\3x < -42 \\ \\\text{*** divide by 3, it does not change the inequality ***}\\ \\ x < -42/3=-14[/tex]
I did not find a good way to show you here the number line. You need to basically take all numbers which are at the left of -14 on that line.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
[tex]x < - 14[/tex]
[tex] \frac{1}{5} (4x + 1) + 1 < \frac{1}{2} (x - 6)[/tex]
[tex] \frac{4}{5} x + \frac{1}{5} < \frac{1}{2} x - 3 [/tex]
[tex]8x + 2 + 10 < 5x - 30[/tex]
[tex]8x + 12 < + 5x - 30[/tex]
[tex]8x - 5x < - 30 - 12[/tex]
[tex]3x < - 42[/tex]
[tex] \frac{3}{3} x < \frac{ - 42}{3} [/tex]
[tex]x < - 14[/tex]
please help :) Which expression is equivalent to 7 × 7 × 7? A.) 3 times 7 B.) 3 to the 7 power C.) 7 times 7 times 7 times 3 D.) 7 to the 3 power
Answer: D) 7 to the 3 power.
Step-by-step explanation:
Answer:
D. 7 to the 3 power
Step-by-step explanation:
I know I'm very late but dont judge :V
This is also seven t the power of three
what is mode and range
Answer:
The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.
Step-by-step explanation:
Answer:
Mode:The number whose repetaed the most is the set (there can be multiple)
Range: The largest number minus the smallest = The range
Answer choice
C) All nonnegative real numbers
D) All positive integers
The number of boxes can't be negative or in fractions.
so the domain would be "All whole numbers from 0 to 10"
Answer:
A) All whole numbers from 0 to 10.
Step-by-step explanation:
The domain of a function is given by the available values of the independent variable.
In this case you have that the independent variable is the number of boxes, and the available values of this variable are integers in between 0 and 10, by including 0 and 10.
Then, the domain of the functions composed by all positive integers number from 0 to 10 including 0 and 10.
A) All whole numbers from 0 to 10.
En una botella caben 2.75 litros de agua. ¿Aproximadamente cuántos galones caben en la botella?1 espacio l i t r o casi igual a 0.264 espacio g a l o n e s
Answer:
0.726 galones
Step-by-step explanation:
De la pregunta anterior, se nos dice que
1 botella = 2.75 litros de agua
Se nos pide encontrar cuántos galones puede contener.
En la pregunta, nos dicen
1 litro = 0.264 galones
2.75 litros =
Multiplicación cruzada
2.75 litros × 0.264 galones
= 0.726 galones.
Por lo tanto, 0.726 galones pueden caber en la botella
A cone fits inside a square pyramid as shown. For every cross section, the ratio of the area of the circle to the area of the square is StartFraction pi r squared Over 4 r squared EndFraction or StartFraction pi Over 4 EndFraction. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius of r. The pyramid has a base length of 2 r. Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cone equals StartFraction pi Over 4 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFractionStartFraction pi Over 4 EndFraction (StartFraction (2 r) (h) Over 3 EndFraction) or One-sixthπrh. StartFraction pi Over 4 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFractionStartFraction pi Over 4 EndFraction (StartFraction (2 r) squared (h) Over 3 EndFraction) or One-thirdπr2h. StartFraction pi Over 2 EndFraction the volume of the pyramid or StartFraction pi Over 2 EndFraction or Two-thirdsπr2h. StartFraction pi Over 2 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFraction or One-thirdπr2h.
The question above is not well arranged. Please find the well arranged question below for proper understanding.
Complete Question:
A cone fits inside a square pyramid as shown. For every cross section, the ratio of the area of the circle to the area of the square is StartFraction pi r squared Over 4 r squared EndFraction or StartFraction pi Over 4 EndFraction.
A cone is inside of a pyramid with a square base. The cone has a height of h and a radius of r. The pyramid has a base length of 2 r.
Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cone equals
A. StartFraction pi Over 4 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFractionStartFraction pi Over 4 EndFraction (StartFraction (2 r) (h) Over 3 EndFraction) or One-sixthπrh.
B. StartFraction pi Over 4 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFractionStartFraction pi Over 4 EndFraction (StartFraction (2 r) squared (h) Over 3 EndFraction) or One-thirdπr²h.
C. StartFraction pi Over 2 EndFraction the volume of the pyramid or StartFraction pi Over 2 EndFraction or Two-thirdsπr²h.
D. StartFraction pi Over 2 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFraction or One-thirdπr²h.
Answer:
B. StartFraction pi Over 4 EndFraction the volume of the pyramid or StartFraction pi Over 4 EndFraction (StartFraction (2 r) squared (h) Over 3 EndFraction) or One-thirdπr²h = 1/3πr²h
Step-by-step explanation:
We have two geometric shapes in the question.
a) A cone and b) a square pyramid
The cone has a height of h and a radius of r. The pyramid has a base length of 2 r.
The volume of a cone =1/3πr²h
Where πr² = Area of the circle at the base of the cone
Hence, Volume of a cone = 1/3 × Area of the circular base of a cone × Height
The volume of a square pyramid = 1/3a²h
Where a² = Area of the square base of the pyramid
Hence, Volume of a square pyramid = 1/3 × Area of the square base of a pyramid × height(h)
Base area of a cone / Base area of a square pyramid = π/4
Base area of a circle = Base area of a pyramid × π/4
Volume of a cone = 1/3πr²h
Volume of a cone = 1/3 × Base area of a square pyramid × π/4 × h
Note that:
Volume of a square pyramid = 1/3a²h
= 1/3 × Base area of a square pyramid × height
Hence,
Volume of a cone = Volume of a square pyramid × π/4
= StartFraction pi Over 4 EndFraction the volume of the pyramid
Or
Where a = base length = 2r
Volume of the square pyramid = 1/3 × 2r² × h = 1/3 × 4r²h
Volume of a cone = Volume of a square pyramid × π/4
Substituting = 1/3 × 4 × r²× h × π/4
Volume of a cone = 1/3 πr²h
Or
Volume of a cone = Volume of a square pyramid × π/4
Volume of a square pyramid when base length is 2r = 1/3 × (2r)² × h = (2r²)h/3
Substituting (2r²)h/3 for volume of a square pyramid in volume of a cone , we have:
Volume of a cone = π/4 × 2r²h/3
=
StartFraction pi Over 4 EndFractionStartFraction pi Over 4 EndFraction (StartFraction (2 r) squared
Therefore, Option B is correct
Answer:
B
Step-by-step explanation:
8. rajis annual salary ranges from $25 325 in the 1st year to $34 445 in the 7th year. The salaries in this range form an arithmetic sequence? a) Determine the raise the person can expect each year. b) What is the total amount the person will earn in the 7 years?
Answer:
a) $1520
b) [tex]S_7 =[/tex] $209195
Step-by-step explanation:
The range of salaries forms an arithmetic sequence with the first term as 25325 and its 7th term as 34445:
a) The raise the person can get each year is the common difference of the progression, d.
The nth term of an arithmetic progression is given generally as:
[tex]a_n = a + (n - 1)d[/tex]
where a = first term = 25325
d = common difference
Therefore, the 7th term (34445) will be:
34445 = 25325 + (7 - 1)d
34445 = 25325 + 6d
=> 6d = 34445 - 25325 = 9120
d = 9120 / 6 = $1520
Therefore, the raise the person gets each year (common difference) is $1520.
b) The total amount the person will earn after 7 years is the sum of the salaries of all 7 yeas.
The sum of an arithmetic progression up to the nth term is given as:
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)\\ \\[/tex]
Therefore, the sum of the person's salary for the 7 years is:
[tex]S_7 = \frac{7}{2}(2 * 25325 + (7 - 1)1520)\\ \\S_7 = 3.5 (50650 + 6(1520))\\\\S_7 = 3.5 (50650 + 9120)\\\\S_7 = 3.5 * 59770\\[/tex]
[tex]S_7 =[/tex] $209195
That is the total amount of salary after 7 years
Expression equlivalent to 48+30
Answer:
30+48 is equivalent to 48+30
Answer:
30+48
Step-by-step explanation:
equivelent just flip them
Answer ill mark the brainliest please help
Answer:
50.27
Step-by-step explanation:
First, we have to find the volume of the cone using the formula V=πr^2h/3, where pi is 3.14. After plugging everything in, we get V = 75.4. Then, we have to find 2/3 of that. Rounding to the nearest hundredth, we get 2/3 x 75.4 = 50.27.
please help :) Which number is greater than 3.14159 × 10 to the 4 power? A. 5,678,889 B. 9.897752 x 10 to the 6 power C. 71,224,900 D. 2.468 × 10 to the 7 power
Answer: C. 71,224,900
Based on the power, move the decimal point that many spaces to the right. (e.g., If it's 7.9 × 10^3, then move the decimal three spaces to the right, and you'd get 7900.)
3.14159 × 10^7 = 31415900
9.897752 × 10^6 = 9897752
2.468 × 10^7 = 24680000
Out of all the numbers mentioned in the question, 71,224,900 is the only one that's greater than 3.14159 × 10^7 = 31415900.
Please answer ASAP will mark brainliest if correct
Answer:
3, 5, 7
Step-by-step explanation:
As per triangle inequality theorem:
Any side of a triangle must be shorter than the other two sides added togetherAssume the sides are equal to 3 smallest odd numbers: 1,3 and 5
Then 1+3< 5 and it is against the above rule, so this is not correctThe next triple is: 3, 5 and 7
Then 3+ 5 > 7 and it is correctSo 3, 5, 7 is the combination of smallest odd numbers to make sides of a triangle
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a
Answer:
Unknown side = 28tan B = 7/24Step-by-step explanation:
The question is incomplete. Here is the complete question.
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.
Pythagoras theorem states that the square of the hypotenuse side of a right angled triangle is equal to the sum of the square of its other two sides. Mathematically c² = a²+b² where c is the hypotenuse and a,b are the other two sides.
From the question, we are given a = 96 and c = 100, to get the unknown side 'b', we will substitute the given values into the formula above;
c² = a²+b²
100² = 96² +b²
b² = 100² - 96²
b² = 10,000 - 9216
b² = 784
b = √784
b = 28
Hence, the unknown length is 28.
To get tanB, we will use the SOH, CAH, TOA trigonometry identity
According to TOA, tan B = opposite/adjacent
tan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)
Given b = 28 and a = 96
tan B = 28/96
tan B = 4*7/4*24
tan B = 7/24
linear system please help 60 points * please please please help will give brainlist
Answer:
1. a. b = - 8
b. x = 8
c. x = 11
d. x = 5
2. 12 soccer balls and 8 basketballs can be purchased.
Step by step explanation
a. [tex] - 14 + 6b + 7 - 2b = 1 + 5b[/tex]
Calculate the sum
[tex] - 7 + 6b - 2b = 1 + 5b[/tex]
Collect like terms
[tex] 7 + 4b = 1 + 5b[/tex]
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change its sign
[tex]4b - 5b = 1 + 7[/tex]
Collect like terms
[tex] - b = 8[/tex]
Change the signs on both sides of the equation
[tex]b = - 8[/tex]
-----------------------------------------------------------------
b. [tex] \frac{5x + 10}{ - 6} = - 5[/tex]
Apply cross product property
[tex]5x + 10 = - 5 \times ( - 6)[/tex]
Multiply the numbers
[tex]5x + 10 = 30[/tex]
Move constant to R.H.S and change its sign
[tex]5x = 30 - 10[/tex]
Calculate the difference
[tex]5x = 20[/tex]
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{20}{5} [/tex]
Calculate
[tex]x = 4[/tex]
----------------------------------------------------------------
c. [tex] - 15 = \frac{ - 8x - 17}{7} [/tex]
Apply cross product property
[tex] - 15 \times 7 = - 8x - 17[/tex]
Multiply the numbers
[tex] - 105 = - 8x - 17[/tex]
Swap the sides of the equation
[tex] - 8x - 17 = - 105[/tex]
Move constant to R.H.S and change its sign
[tex] - 8x = - 105 + 17[/tex]
Calculate
[tex] - 8x = - 88[/tex]
Change the signs on both sides of the equation
[tex]8x = 88[/tex]
Divide both sides of the equation by 8
[tex] \frac{8x}{8} = \frac{88}{8} [/tex]
Calculate
[tex]x = 11[/tex]
------------------------------------------------------------------
D. [tex]5 = 6x + 5(x - 10)[/tex]
Distribute 5 through the parentheses
[tex]5 = 6x + 5x - 50[/tex]
Collect like terms
[tex]5 = 11x - 50[/tex]
Swap both sides of the equation
[tex]11x - 50 = 5[/tex]
Move constant to R.H.S and change its sign
[tex]11x = 5 + 50[/tex]
Calculate the sum
[tex]11x = 55[/tex]
Divide both sides of the equation by 11
[tex] \frac{11x}{11} = \frac{55}{11} [/tex]
Calculate
[tex]x = 5[/tex]
------------------------------------------------------------------
2.
Solution,
No.of students in soccer = x
No.of students in basketball = y
Total no.of students = 20
i.e x + y = 20 → equation ( i )
Cost of soccer ball = $ 7
Cost of basketball = $ 10
Total budget = $ 164
i.e 7x + 10 y = 165 → equation ( ii )
In equation ( i ),
x + y = 20
Move 'y' to R.H.S and change its sign
x = 20 - y
Put the value of x in equation ( i )
[tex]7(20 - y) + 10y = 164[/tex]
[tex]140 - 7y + 10y = 164[/tex]
[tex]3y = 164 - 140[/tex]
[tex]3y = 24[/tex]
[tex]y = \frac{24}{3} [/tex]
[tex]y = 8[/tex]
Now, put the value of y in equation ( i ) ,
x + y = 20
[tex]x + 8 = 20[/tex]
[tex]x = 20 - 8[/tex]
[tex]x = 12[/tex]
Hence, 12 soccer balls and 8 basketballs can be purchased.
Hope this helps...
Best regards!!
Answer:
1. b = -8
2. x = 8
3. x = 11
4. x = 5
hope that helpwd
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = [tex]\frac{1}{2}[/tex](GH + EF) = [tex]\frac{1}{2}[/tex] (90 + 45)° = 0.5 × 135° = 67.5°
Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan’s room?
Answer:
2[tex]x^{4}[/tex] + x³ - x² + 54x - 56
Step-by-step explanation:
Area (A) is calculated as
A = length × width
= (x² - 2x + 8)(2x² + 5x - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(2x² + 5x - 7) - 2x(2x² + 5x - 7) + 8(2x² + 5x - 7) ← distribute all parenthesis
= 2[tex]x^{4}[/tex] + 5x³ - 7x² - 4x³ - 10x² + 14x + 16x² + 40x - 56 ← collect like terms, thus
A = 2[tex]x^{4}[/tex] +x³ - x² + 54x - 56
The expression which represents the area of Dylan’s room will be 2x⁴ - 7x³ - 21x² + 82x - 56.
What is the area?
The area is the space occupied by any shape, find out by multiplying its length and breadth.
We have,
Lenght = (x² – 2x + 8)
and
Breadth = (2x² + 5x – 7)
Now, simplifying the above expressions,
(x² – 2x + 8)
It can be written as , Using middle term split method,
x² – 4x + 2x + 8
= x(x – 4) - 2(x - 4)
= (x – 4) (x - 2)
In the same way,
(2x² + 5x – 7)
= 2x² +7x - 2x – 7
= x(2x +7) - 1(2x + 7)
= (x - 1) (2x +7)
So,
So,
Using the area formula,
i.e.
Area = Length × Breadth
Area = (x² – 2x + 8) × (2x² + 5x – 7) = (x – 4) (x - 2) (x - 1) (2x +7)
Now,
Area = 2x⁴ - 7x³ - 21x² + 82x - 56
Hence we can say that the expression which represents the area of Dylan’s room will be 2x⁴ - 7x³ - 21x² + 82x - 56.
To learn more about Area click here,
https://brainly.com/question/27683633
#SPJ2
Solve for x in the diagram below.
Answer:
25 degrees
Step-by-step explanation:
The two given angles are vertical, so we can set their measures equal to each other and then solve for x.
4x + 50 = 150
4x = 100
x = 25
Answer:
x = 25
Step-by-step explanation:
The angles are vertical angles, so their measures are equal.
4x + 50 = 150
4x = 100
x = 25
If cos0=-3/5 in quadrant II, what is sin0
Answer:
[tex]\displaystyle \sin \theta = \frac{4}{5}[/tex] if [tex]\displaystyle \cos\theta = -\frac{3}{5}[/tex] and [tex]\theta[/tex] is in the second quadrant.
Step-by-step explanation:
By the Pythagorean Trigonometric Identity:
[tex]\left(\sin \theta\right)^2 + \left(\cos\theta)^2 = 1[/tex] for all real [tex]\theta[/tex] values.
In this question:
[tex]\displaystyle \left(\cos\theta\right)^2 = \left(-\frac{3}{5}\right)^2 = \frac{9}{25}[/tex].
Therefore:
[tex]\begin{aligned} \left(\sin\theta\right)^2 &= 1 -\left(\cos\theta\right)^2 \\ &= 1 - \left(\frac{3}{5}\right)^2 = \frac{16}{25}\end{aligned}[/tex].
Note, that depending on [tex]\theta[/tex], the sign [tex]\sin \theta[/tex] can either be positive or negative. The sine of any angles above the [tex]x[/tex] axis should be positive. That region includes the first quadrant, the positive [tex]y[/tex]-axis, and the second quadrant.
According to this question, the [tex]\theta[/tex] here is in the second quadrant of the cartesian plane, which is indeed above the [tex]x[/tex]-axis. As a result, the sine of this
It was already found (using the Pythagorean Trigonometric Identity) that:
[tex]\displaystyle \left(\sin\theta\right)^2 = \frac{16}{25}[/tex].
Take the positive square root of both sides to find the value of [tex]\sin \theta[/tex]:
[tex]\displaystyle \sin\theta =\sqrt{\frac{16}{25}} = \frac{4}{5}[/tex].
California, the most populous state, has approximately 4 x 107 people living in it. The population of the entire United States is approximately 3 x 108 people. How many times greater is the population of the United States than the population of California?
Answer:
7.5 times
Step-by-step explanation:
Your calculator can tell you the ratio ...
[tex]\dfrac{3\times10^8}{4\times10^7}=\dfrac{30\times10^7}{4\times10^7}=\dfrac{30}{4}=\boxed{7.5}[/tex]
The population of the US is 7.5 times as great as the population of California.
Your math teacher caught you text messaging in class, again, so the teacher is making you give a presentation to your math class next week. Your assignment is to analyze the scatter plot that shows people's ages and the number of text messages sent in a day. In 3-5 sentences, explain what you see in the scatter plot below.
Answer:
The dots plotted on the scatterplot closely follow a graph of exponential decline. The large number-- around 350 texts per day-- by 18-22year-olds, seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.
Step-by-step explanation:
Help..... please math
Answer:
Ones: 91
Hundredths: 91.20
Step-by-step explanation:
All numbers that comprises the digits, 91.20, have place value.
The 9 in the digit has a place value of tens, i.e. 9*10 = 90.
The 1 has a place value of one's, i.e. 1*1 = 1
The 2, after the decimal point to the right, has a place value of tenth, i.e. 1*10-¹ = ⅒ = 0.1
While the zero has a place value of hundredth.
Therefore, the digits, in the ones place = 91
In the hundredths place = 91.20
76.
175/50
[tex] \frac{ \sqrt[3]{175} }{ \sqrt[3]{50} } [/tex]
Answer:
Step-by-step explanation:
Factorize 175 and 50
175 = 5 * 5 * 7
50 = 5 * 5 * 2
[tex]\frac{\sqrt[3]{175}}{\sqrt[3]{}50}=\sqrt[3]{\frac{175}{50}}\\\\\\ =\sqrt[3]{\frac{5*5*7}{5*5*2}}\\\\\\=\sqrt[3]{\frac{7}{2}}[/tex]
Please answer this question now
Answer:
Area of the triangle = 469.4 ft²
Step-by-step explanation:
By applying Sine rule in the given triangle WXY,
[tex]\frac{\text{SinW}}{\text{XY}}=\frac{\text{SInY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}[/tex]
Since m∠X + m∠Y + m∠W = 180°
m∠X + 40° + 27° = 180°
m∠X = 180° - 67°
m∠X = 113°
Now substitute the measures of sides and angles given in the picture,
[tex]\frac{\text{Sin27}}{\text{XY}}=\frac{\text{SIn40}}{38}=\frac{\text{Sin113}}{\text{WY}}[/tex]
[tex]\frac{\text{Sin27}}{\text{XY}}=\frac{\text{SIn40}}{38}[/tex]
XY = [tex]\frac{38\text{(Sin27)}}{\text{Sin40}}[/tex]
XY = 26.84
Area of the triangle = [tex]\frac{1}{2}(\text{XY})(\text{XW})(\text{SinX})[/tex]
= [tex]\frac{1}{2}(26.84)(38)(\text{Sin113})[/tex]
= 469.42
≈ 469.4 ft²
Please help me.. T-T
Step-by-step explanation:
The inequality is [tex]\frac{x}{-3}[/tex] >2
[tex]\frac{x}{-3}[/tex] > 2 multiply each side by -3 x < 2*(-3) the sign is switched since we multiplied by a negative number x < -6x is less than -6 and -6 is excluded so it will be represented by an empty circle and a line going toward negative values
so it's D
Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 40º. Then Jill goes to the roof of her apartment building, directly above her previous position, and measures the angle of elevation to the top of the same tower to be 30°. If the height of the tower is 100 meters, the height of Jill's apartment building is meters.
Answer:
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
When the height of the tower is 100 meters, the height of Jill's apartment building is 31.19m
How to calculate the height?Let the base from the building to the Rowe be represented by x. Based on the information given, the value will be:
x = 100/tan 40°
x = 119.18m
The height can be represented as:
= 100 - [tan30° × 119.18]
= 100 - 68.81
= 31.19m
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Macy has a new beaded necklace. 26% of the 50 beads on her necklace are blue. How many
beads are there on Macy's necklace that are not blue?
Answer: 37
Step-by-step explanation:
Given that:
Total number of beads on her necklace = 50
Percentage of blue beads = 26%
Therefore, number of blue beads :
Percentage number of blue beads × total number of beads on necklace
Number of Blue beads = 26% × 50
= 0.26 × 50 = 13
Number of Blue beads = 13
Therefore, number of beads that aren't blue :
Total number of beads - number of blue beads
50 - 13 = 37
Number of beads that aren't blue = 37
ANSWER ASAP #6 on WILL GIVE BRAINIEST TO ANSWER FIRSTTT
Answer:
20 m/s
Step-by-step explanation:
Assuming initial velocity is 0:
[tex]v_{f} = v_{i} + at[/tex]
[tex]v_{f} = at[/tex]
[tex]v_{f} =[/tex] 4m/s^2 * 5s = 20 m/s
Answer:
If you accelerate at 4 m/s/s for 5 seconds you accelerate by 20 m/s. Therefore, you started out at 3 m/s.
Step-by-step explanation: