Answer:
Step-by-step explanation:
If triangle equilateral, then h = 3 × 4√3 = 12√3
If side of triangle is "x" , then length of the base is
x² - ( [tex]\frac{x}{2}[/tex] )² = ( 4√3 )²
4x² - x² = 192
x² = 64
x = 8
[tex]A_{triangle}[/tex] = 8 × 12√3 = 96√3
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS*URGENT*During halftime of a game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second. The T-shirt is caught 38 feet above the field.
How long will it take the T-shirt to reach its maximum height?
What is the maximum height?
What is the range of the function that models the height of the T-shirt over time?
Answer:
y = 38 + 72t - 16t^2
Step-by-step explanation:
So, solve for t when y=48.
The max height is of course, when t = 64/32 = 2.
Question 2 You have to make a model of the Great Pyramid at Giza, painted to look as close to identical as possible. Which term best describes the part that you must cover?
Volume
Area
Surface Area
Lateral Area
The term that describes the part of the model of the Great Pyramid to be painted is called the: lateral area.
What is the Lateral Area of a Pyramid?The lateral area of any pyramid is the area covered by the slant lateral faces of the pyramid. This excludes the base area of the pyramid.
The best term that describes the part of the Great Pyramid to be covered is therefore known as: lateral area.
Learn more about lateral area on:
https://brainly.com/question/12308519
im going to a behavior health hospital (mental hospital) in a few hours but they cant fint a bed so ill be at the reg hospital for a while wish me luck yall :)
Answer:
good luck bestie
sending best of luck~♡
Look at the two stacks of coins. each stack contains the same type and number of coins. make a conjecture. how do the stacks compare? check all that apply. the two stacks are the same height. the area of a coin face in one stack is the same as the area of a coin face that lies in the same horizontal plane. the two stacks have equal volume.
The correct option is D they will have the same volume.
What is volume?
In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
They both have the same height, assuming that each coin has same volume, then how can coins in 1 stack have different volume than coins in another stack no matter how you stack them.
Like two cylinders with same base area and height have same volume. Like wise rectangle and parallelogram with same base and same perpendicular height having same area.
To know more about Volume follow
https://brainly.com/question/1972490
Answer:
DDDDDDDDD is your Answer
Step-by-step explanation:
A circle's diameter is 4 feet.
What is the circle's circumference (use 3.14 for pi and round to the Nearest tenth)?
PLS HELP
Answer:
13
Step-by-step explanation:
The formula for cirmference is
C= π2 * r
we're using 3.14 as pi and r = radius.
the radius is always half of the diameter.
So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.
C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.
Hope this helps :)
Simplify this equation...
(It would be option 1) x - 2/2
Help me pls I don't understand this pls help me! :I
A water tank measures 5 in. by 10 in. by 7 in. If each dimension of the tank were doubled, approximately how many more gallons can the larger tank hold? (Hint : There are 231 cubic inches in 1 gallon.)
A: The large tank holds about 2,450 gal more water than the small tank.
B: The large tank holds about 10 gal more water than the small tank.
C: The large tank holds about 22 gal more water than the small tank.
D: The large tank holds about 16 gal more water than the small tank.
Answer:
10
Step-by-step explanation:
you should go by this; 5x10x7=350 which can round up to two gallons. then you do 350 x 2 to the third power, which should be 350x8=2800. which 2800 rounds to 12 gallons, so then you do 12-2=10. So 10 would be the answer! Hope this helped!!25 points
Find Y. Assume that segments that appear to be tangent are tangent. Around to the nearest tenth if necessary.
Answer:
y ≈ 12.6
Step-by-step explanation:
the angle between a tangent and the radius of the circle at the point of contact is 90°
then the triangle with y as a leg is right.
using Pythagoras' identity in the right triangle.
y² + 39² = 41²
y² + 1521 = 1681 ( subtract 1521 from both sides )
y² = 160 ( take square root of both sides )
y = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )
6. If the information given represents an arithmetic
sequence, find the 27th term.
a_1 = 49 and a_8 = 14
Since consecutive terms differ by a constant k in this sequence, we have
[tex]a_8 = a_7 + k[/tex]
[tex]a_8 = (a_6+k)+k = a_6+2k[/tex]
[tex]a_8 = (a_5+k)+2k=a_5+3k[/tex]
and so on down to
[tex]a_8 = a_1 + 7k[/tex]
Solve for k :
14 = 49 + 7k ⇒ -35 = 7k ⇒ k = -5
We then do the same as above but in the reverse direction:
[tex]a_9 = a_8+k[/tex]
[tex]a_{10} = a_9+k = a_8+2k[/tex]
[tex]a_{11} = a_{10}+k = a_8+3k[/tex]
and so on, up to
[tex]a_{27} = a_8 + 19k = \boxed{-81}[/tex]
Quadrilateral JKLM is inscribed in circle R.
68
What is m L?
Enter your answer in the box.
105
XK
•R
L
M
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we know, opposite sides of a cyclic quadrilateral add up to 180°, let's use this property to find Angle L
[tex]\qquad \tt \dashrightarrow \: \angle L + 68 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle L = 180 - 68[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle L = 112 \degree[/tex]
So, measure of Angle L is 112°
A store offers a 30% discount on a coat that originally sold for $120. The coat still does not sell, so the store offers another 30% o the sale price. What is the difference between this price and the price of the coat had it been marked down 60% all at once?A. $5. 80 B. $7. 40C. C. $10. 8 D. No difference; the resulting prices are the same
Answer:
C. $10.80
Step-by-step explanation:
Lets solve for first 30% discount
120/ 10 =12 (divided by 10 to get 10% of the whole)
12= 10% of 120
36= 30 % of 120 (multiplied by 3 to get 30%)
120-36= 84
Lets solve for second 30% discount
84/10 =8.4 (divided by 10 to get 10% of the whole)
8.4= 10% of 84
25.2 = 30% of 84 (multiplied by 3 to get 30%)
84-25.2=58.80 (subtracted the discount from the total to get the sale price)
Let's solve for what it would cost had they done 60% to begin with
120/10 = 12 (divided by 10 to get 10% of the whole)
12= 10% of 120
72= 60% of 120 (multiplied by 6 to get 60%)
120-72 = 48 (subtracted the discount from the total to get the sale price)
Let's solve for the difference between the two
58.80-48= 10.80
The circumference of a round mirror is 32 inches. What is the radius of the mirror?
Answer:
r=C/2pi
r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831
given that C= 32, therefore r=32/6.2831 =5.0930.
find the value of x when 6-2x= 5x-9x+18
Answer:
x = 6
Step-by-step explanation:
6 - 2x = (5-9)x +18
6 - 2x = -4x +18
2x = 12
x = 6
how do you graph y=4-4x
Answer:
Break it into 2 parts.
Explanation:
Y=4x
Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.
Or you can do it by plotting points; say x=0, x=1, x=2 and so on.
Step-by-step explanation:
Find the circumference of the circle
12m
Answer:
The answer would be 75.4 (rounded to nearest 10th)
Step-by-step explanation:
Step 1. Multiply the radius (12) by 2 to get 24.
Step 2. Do 24π
Step 3. Get the answer of 75.3982236862
Step 4. Round to 75.4
Hope this helps! :)
Answer:
C ≈ 75.4 m
Step-by-step explanation:
using the formula C = 2πr , then
C = 2π × 12 = 24π ≈ 75.4 m ( to 1 dec. place )
Which is different?
How much does it take to fill the cylinder?
What is the capacity of the cylinder?
How much does it take to cover the cylinder?
How much does the cylinder contain?
Answer:
Step-by-step explanation:
Remark
A B and D refer to what the cylinder can contain. They all refer to the hollowed out part of the cylinder.
C is the only one that talks about what you need to cover the cylinder with (say) paper or cloth. C is external to the surface of the cylinder.
Answer: C
What the location of point A?
Will mark brainlyest!!
Answer:
C) (-5,8)
Step-by-step explanation:
The format for point is (x,y)
X is the horzontal (left or right)
Y is verticle (Up or down)
Remember that left and down are negatives
So you move 5 times to the left, thus -5
You move 8 upwards, thus 8
The answer is (-5,8)
Hope this helps!
Inali ate 3/8 of a pizza. His friend ate 1/4 of the
pizza. How much did they eat all together.
Answer:
5/8
Step-by-Step Explanation:
Inali - ate 3/8
His Friend - ate 1/4, but you need it with denominator of 8 so you can do 1/4=x/8 and x=2
Now, you have to add 3/8 plus 2/8 and you get 5/8.
27/54 simplified to its simplest form need answer ASAP
Answer:
1/2
Step-by-step explanation:
Divide both the numerator and denominator
27/54 ÷ 27/27
Reduced fraction:
1/2
Therefore, 27/54 simplified to lowest terms is 1/2.
Answer:
27/54 =1/2
Step-by-step explanation:
27 and 54 are both multiples of 9, so 9 is a common divisordivisor.
Divide numerator and denominator by 91:
(27/9) / (54/9) = 3/6
Now 3 and 6 are both multiples of 3, so 3 is a common divisor
Divide numerator and denominator by 3:
(3/3) / (6/3) = 1/2
1 and 2 has no common divisors so 1/2 is the final answer
Find x #4 please reallt emergency
Answer:
Step-by-step explanation:
3
[tex]\sqrt{25x^{2} } =-2x\sqrt{100x}[/tex]
I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.
Meanwhile, we observe that for -2x √(100x),
• it's only defined for x ≥ 0, and
• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0
In short, this eliminates any non-zero real solution, and we're left with x = 0.
We can arrive at the same result by working with the equation:
√(25x²) + 2x √(100x) = 0
5|x| + 20 x√x = 0
since √(x²) = |x| for all x.
Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.
• If x ≥ 0, the equation reduces to
5x + 20 x√x = 0
5x (1 + 4√x) = 0
5x = 0 or 1 + 4√x = 0
x = 0 or √x = -1/4
But √x ≥ 0 for x ≥ 0, so we throw out the second solution.
• If x < 0, the equation instead reduces to
-5x + 20 x√x = 0
-5x (1 - 4√x) = 0
-5x = 0 or 1 - 4√x = 0
x = 0 or √x = 1/4
x = 0 or x = 1/16
But we assumed x is negative, so we throw out both choices and get no solution for this case.
Choose the values of a and b that represent the factored form of w2 – 11w 18. w2 – 11w 18 = (w – a)(w – b) a = b =
The values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9.
We have given the polynomial w^2 - 11w + 18
First to find the factor form and then
To determine the value of a and b
What is the PolynomialThe Polynomial is an expression that involves only the operations of addition, subtraction, and multiplication of variables.
The given the polynomial is w^2- 11w + 18
= w^2 - 9w - 2w + 18
= w(w - 9) -2(w - 9)
= (w - 2)(w - 9)
This implies that a=2 and b=9
Therefore, the values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9
To learn more about the polynomial visit:
https://brainly.com/question/2833285
Answer:
a=2 b=9
Step-by-step explanation:
Which of the following could be the equation of the function below? on a coordinate plane, a curve crosses the y-axis at y = negative 3. it has a maximum at y = 1 and a minimum at y = negative 3. it goes through 1 cycle at pi. y = negative 2 cosine (4 (x pi)) minus 1 y = 2 cosine (x pi) 1 y = negative 2 cosine (2 (x pi)) minus 1 y = 2 cosine (4 (x pi)) 2
The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
What are some properties of a cosine function?Suppose that we've got:
[tex]f(x) = a \cos (bx - c) + d[/tex]
Then, this function has:
Period = [tex]\dfrac{2\pi}{b}[/tex]Phase shift = [tex]\dfrac{c}{b}[/tex]Maximum value: a + dMinimum value: -a + dFor this case, we're given that:
The function crosses y-axis at y = -3The maximum value of the function is y = 1The minimum value of the funciton is y = -3It goes through 1 cycle at pi.All the options are of cosine function, so let the function be:
[tex]f(x) = a \cos (bx - c) + d[/tex]
Then, as per the given data about max and min. values, we get:
d+a=1
d-a = -3
Adding both equations,
2d = -2 => d = -1
Thus, -1+a = 1, and therefore a = 2
Since it goes through 1 cycle at pi, so its period = π
Thus, we get:
[tex]Period = \pi = 2\pi/b\\\\or\\\\b = 2[/tex]
Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.
Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
Learn more about amplitude and period of a cosine function here:
https://brainly.com/question/4104379
Answer:
C) y = -2cos(2(x + π)) -1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
HELP PLS I WILL MARK BRAINLIEST
Answer:
I believe the answer is 112.75 in2
Step-by-step explanation:
Friend is smart
calculate the equation of straight line passing through (5,-10) and making equal but opposite intercept.
The equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
To solve the problem, we need to know the equation of a straight line
Equation of a straight line in slope intercept formThe equation of a straight line in slope intercept form is given by y = mx + c where
m = slope and c = y- intercept.Given that the straight line passes through the point (5, -10) and making equal but opposite intercept, its intercept is at (-5, 10)
The gradient of the lineWe need to find the gradient, m by making m subject of the formula in y.
So, m = (y - c)/x
With
x = 5, y = -10 and c = 10, we havem = (y - c)/x
m = (-10 - 10)/5
m = -20/5
m = -4
Substiting m and c into y, we have
y = mx + c
y = -4x + 10
So, the equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
Learn more about equation of a straight line here:
https://brainly.com/question/22487519
Using the information in the Venn diagram below, how many people play basketball? A. 5 B. 9 C. 12 D. 17 4 D. 5
Answer:
52 people
Step-by-step explanation:
add 5 9 12 17 4 5 and youlk get 52 people.
Answer:
its 5
Step-by-step explanation:
By visual inspection,determine the best fitting regression model for the scatter plot
Answer:
The answer is quadratic
Step-by-step explanation:
I just took the quiz and got this question correct, also it cant be linear because if it were linear, it would be more of a straight shape, but this is more of a u shape, if it were exponential, it would look more drawn out to the sides i believe, and if it were no pattern, there would just be dot points threwn at random spots. Therefore, the answer is Quadratic.
22 23
22 - 26
m27 +mZ8 = 180°
mZ3 +mZ5 = 90°
Answer:
i believe it would be 22-26 but i am not sure
What is the approximate area of the triangle?
A. 12.5 square units
B. 18 square units
C. 21.5 square units
D. 31 square units
The solution is Option C.
The area of the triangle is 21.5 square units
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the triangle be A
Let the height of the triangle be H
The value of H = 7 units
Let the base of the triangle be B
The value of B = 6 units
Now , the area of the triangle is given by the equation
The area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of Triangle = ( 1/2 ) x 7 x 6
Area of Triangle = 1/2 x 42
Area of Triangle = 42/2
Area of Triangle A = 21.5 square units
Therefore , the value of A is 21.5 units²
Hence , The area of the triangle is 21.5 square units
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ2
PLEASE ANSWER ASAP AND LMK HOW U GOT UR ANSWER ‼️
Answer:
π/4 radiansπ/4 radiansStep-by-step explanation:
The relationship between angle measures in degrees and angle measures in radians does not depend on the radius of the circle. It is always ...
180° = π radians
__
Then an angle of 45° will be ...
45° × (π radians)/(180°) = π/4 radians
This value is the same for a radius of 5 cm or of 1 cm.
_____
Additional comment
We have made the conversion from degrees to radians using a conversion factor that has radians in the numerator and degrees in the denominator. When we mutiply by this factor, the units of degrees cancel, leaving units of radians. We use a conversion factor that has the same angle value in numerator and denominator, so it doesn't change the angle we're multiplying. It only changes the units.
The same relation can be expressed as a proportion:
(π radians)/180° = (x radians)/(45°)
When you multiply this equation by 45° on both sides, you get the equation we used above.