Step-by-step explanation:
1.
that creates a right-angled triangle :
the string is the Hypotenuse (the baseline, which is the side opposite of the 90° angle).
the invisible "line" from the kite straight down to the ground is one leg. and we need that length.
and the invisible "line" on the ground between the point where Brian is standing, and the point, where the : line: coming down from the kite hits the ground, is the second leg.
the angle between both legs is 90°.
so, we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the associated angles are always opposite of each other.
in our case, the Hypotenuse (the string) is opposite of 90°.
and the angle opposite of the kite height line is the designated angle of elevation at the point, where Brian is standing : 70°.
so, we have here
65/sin(90) = height/sin(70)
height = 65×sin(70)/sin(90)
sin(90) = 1
height = 65×sin(70) = 61.08002035... m
2.
another right-angled triangle.
what is not clear to me : what does "distance from plane to building" mean ?
is it really the line of sight from the plane in the air to the building in the ground ? which is the Hypotenuse of that triangle.
or is it the ground distance (from the point where the height line hits the ground to the building) ? which is also the air distance (parallel line to the ground distance up in the air with the plane).
remember, the sum of all angles in a triangle is always 180°.
per law of sine we have
height/ sin(28) = line of sight / sin(90) =
= air (or ground) distance / sin(180-28-90)
1200/sin(28) = line of sight / 1 =
= air distance / sin(62)
line of sight (if that is what we need) =
= 1200/sin(28) = 2,556.065362... m
air distance = 1200×sin(62)/sin(28) = 2,256.871758... m
3.
another right-angled triangle.
the Hypotenuse is the line of sight from the point 12 ft away in the ground to the top of the pole.
the ground distance (12 ft) is one leg.
the pole (and its height) is the second leg.
so, we have our law of sine
height/sin(53) = line of sight / sin(90) =
= ground distance / sin(180-53-90)
we need the height, so
height/sin(53) = ground distance / sin(37)
height = 12×sin(53)/sin(37) = 15.92453786... ft
Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left
Answer:
4
Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.
Answer: 4 toys
Step-by-step explanation:
We will multiply 3 by 30 for how many toys he can currently put into boxes.
3 * 30 = 90
Now we will subtract this from the total number of toys for our answer.
94 - 90 = 4
There are 4 toys left.
there is a total of 10 pages of homework. sophia worked on some pages on monday if she has 3 pages left how many pages did sophia work on monday?
Answer:
7
Step-by-step explanation:
Since, Sophia had three pages of homework and she only has three left you can set up an equation to solve. The equation would be 10=x-3, then you just solve the equation which would be 7, hope that helped.
Can someone please help me ASAP
Find the length of the unknown side of each triangle.
Step-by-step explanation:
The Pythagorean theorem states that a^2+b^2=c^2.
For 51, Here would be the step by step (you would do the same thing for 52, follow the formula)
[tex]6^{2} + 3^{2} =c^{2} \\36+9= c^{2} \\45=c^{2} \\\sqrt{45} =\sqrt{c^{2} } \\c= 6.7[/tex]
For 53 (and 54), c is already provided. Instead of adding, do this (again, follow the formula):
[tex]a^{2} + 3^{2} = 7^{2} \\a^{2} + 9 = 49\\a^{2} + 9 = 49\\a^{2}= 40\\\sqrt{a^{2}} =\sqrt{40} \\a= 6.32[/tex]
I hoped this had helped.
I WILL GIVE BRAINLIEST!!!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.
geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater: MAD of 3.15
In which class were his scores the closest together?
A. math
B. theater
C. English
D. geography
Answer: the answer is Math and i took the test
Select all of the inequalities that are true if x = 4. (Select all that apply.) x<2 x<10 x<4 x>4 x>8
Answer:
x<10
Step-by-step explanation:
I think that's the only one
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
HELP ME WITH THIS LOL
Find the value of X if a = 25 and b = 11, Round to the nearest tenth.
Answer:
x = 19.9
Step-by-step explanation:
These kinds of problems have a specific formula.
Formula: outside (whole) = outside (whole)
We could substitute our variables into this.
For the first line, our outside segment is b and the whole thing is a + b
For the second line, our outside segment is x, and the whole thing is x.
[tex]b (a+b) = x(x)\\11 (25+11) = x^2\\11 (36) = x^2\\396 = x^2\\\\x=\sqrt{396}[/tex]
The [tex]\sqrt{396}[/tex] = 19.8997487421
Rounding to the nearest tenth, your answer is 19.9
What is 8 divided by 1/2
Answer:
[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]
Which is the same as dividing a number by 10?
pls help I need it pls
Answer:
Splitting that number into 10 equal wholes.
Step-by-step explanation:
(fractions)
Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
Answer: 12-233 24353252345
Step-by-step explanation:
Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
3x + 14 / 8 = -5
And also need to do the check ♀️
Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answer:
(x + 2)(x + 8)
Step-by-step explanation:
x² + 10x + 16
consider the factors of the constant term (16) which sum to give the coefficient of the x- term.
the factors are + 2 and + 8 , since
+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then
x² + 10x + 16 = (x + 2)(x + 8) ← in factored form
Answer:
answer in picture
Step-by-step explanation:
distributive property
Answer:
9 x 6= 9 x ( 3+3 )
= 9 x 3 + 9 x 3
= 27 + 27
= 54
Step-by-step explanation:
If a = 12 feet, b = 6 feet, c = 2 feet, d = 15 feet, and e = 3 feet, what is the area of the object?
Answer:9282
Step-by-step explanation:
100 points math and brainliest
Answer:
It is health.
Step-by-step explanation:
It says that "The larger the MAD, the greater variability there is in the data (the data is more spread out)." So History would actually be the most wrong one. Health is the lowest value so Health is correct.
Answer:
Health
Step-by-step explanation:
MAD = median absolute deviation
It measures how spread out a set of data is, and is less affected by extremely high or low values.
The bigger the variance, the more spread out the data points are.
The smaller the variance, the less spread out the data points are.
Therefore, the scores were closest together in Health, since this has the smallest MAD.
don't understand at all
Step-by-step explanation:
you would have to add the the sides and use context to find out the blank rectangles
1+3+5+7+...+25 is subtracted from 2+4+6+8+...+26. The answer is
[tex]S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\[/tex]
[tex]\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13[/tex]
Answer:
13
Step-by-step explanation:
2 + 4 + 6 + 8 + ...... + 26
n = 13
Sum of first 'n' even numbers = n( n +1)
= 13 * 14
= 182
1 + 3 + 5 + 7 + .....+25
n = 13
Sum of first 'n' odd numbers = n²
= 13 * 13
= 169
2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169
= 13
What is the equation of a line, in point slope form, that passes through (5, 3)and has a slope of ⅔
Answer:
y - 3 = 2/3(x - 5)
Step-by-step explanation:
Formula:
y - y1 = m(x - x1)
It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.
Makes it a lot cleaner and easier to work with.
Hope this helps you :)
Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
Who is a lender?It should be noted that a lender simply means an individual or an organization that lends people money.
In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
Learn more about lender on:
https://brainly.com/question/25882989
Answer:
It's
A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.
Step-by-step explanation:
Please do help me with this math problem.
Use an equation to find the value of k so that the line that passes through the given points has the given slope.
(−4,k), (6,−7); m=−1/5
before his shopping spree, Ahab owned 11 hats. Then he bought 33 more hats. what is the ratio of hats purchased to the resulting total number of hats.
What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution
Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
Radical equations and expressionGiven the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
Learn more on radical expression here: https://brainly.com/question/738531
Answer:
B x = 3
Step-by-step explanation:
What is the slope of the line shown below?
(-6,3)
(12,6)
A. -1/6
B. -6
C. 6
D. 1/6
Answer:D
Step-by-step explanation:
The slope of a line will be 1/6. Then the correct option is D.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Slope = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(-6,3) and (12,6)
(x₁, y₁) = (-6,3)
(x₂, y₂) = (12,6)
Then the slope of a line will be
Slope = (6 – 3) / (12 + 6)
Slope = 3 / 18
Slope = 1/6
Then the correct option is D.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
by how much is (3/4 + 1/12 + 2/3) greater than 1
Hey there!
3/4 + 1/12 + 2/3
= 5/6 + 2/3
= 5/6 + 4/6
= 5 + 4 / 6
= 9 / 6
= 9 ÷ 3 / 6 ÷ 3
= 3/2
≈ 1.5
1.5 - 1 = 0.5
Therefore, your answer is: 0.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
(5,5)
(5,-3)
(-1, -3)
What are coordinates of the circumcenter?
The coordinate of the given figure is (5,5) (5,-3) and (-1, -3). The coordinates of the circumcenter of the triangle is (2,1).
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We can see the given triangle.
The coordinates of A are (-1,-3).
The coordinates of B are (-1,-3).
The coordinates of C are(5,5).
We know that the circumcenter of a right triangle is the midpoint of the hypotenuse.
Mid-point of hypotenuse AC is given by
[tex]x = x_1 +x_2 / 2\\y = y_1 +y_2 / 2[/tex]
So, x =( -1 + 5)/2 = 2
y =( 5-3)/2 = 1
Hence, the circumcenter of the triangle is (2,1).
Learn more about triangles;
https://brainly.com/question/13870449
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Please read the picture
If x - 3/x = 7 find i) x² + 9/x²
ii) x + 3/x
iii) x² - 9/x²
[tex]\text{Given that,}\\\\x-\dfrac 3x = 7\\\\\\\textbf{i).}\\\\\\x^2 + \dfrac 9{x^2}\\\\\\=x^2 + \left(\dfrac 3 x \right)^2\\\\\\=\left(x- \dfrac 3x \right)^2 + 2 \cdot x \cdot \dfrac 3x\\\\\\=7^2 +6\\\\\\=55[/tex]
[tex]\textbf{ii)}\\\\~~~~~\left(x+\dfrac 3 x \right)^2 = \left( x - \dfrac 3x \right)^2+4 \cdot x \cdot \dfrac 3x\\\\\\\implies \left(x+\dfrac 3 x \right)^2 = 7^2 +12\\\\\\\implies \left(x+\dfrac 3 x \right)^2 =61\\\\\\\implies x+ \dfrac 3x = \pm\sqrt{61}\\\\\\[/tex]
[tex]\textbf{iii)}\\\\\\x^2 -\dfrac 9{x^2}\\\\\\=x^2 - \left(\dfrac 3{x} \right)^2\\\\\\=\left( x-\dfrac 3x \right)\left( x+\dfrac 3x \right)\\\\\\=7\sqrt{61}~~ \text{or}~~ -7\sqrt{61}[/tex]
3.5
B
S
A
7
ΔΑΒC ~ ΔQRS
Find the value of t.
Τ
4
C
R
Answer:
x = 0.5
Step-by-step explanation:
3.5/x = 7/4
3.5/x * 1/3.5 = 7/4 * 1/3.5
x = 7/14
x = 1/2
x = 0.5
How many real-number solutions does the equation have?
0=-7x² +6x+3
A: one solution
B: two solutions
C: no solutions
D: infinitely many solutions
Answer: B. two solutions
im guessing
Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stefon received when he first began mowing
Answer:
He used to receive $14.50.
Step-by-step explanation:
Let x = amount he used to receive.
Now he receives 2x - 4.
Now he receives $25.
2x - 4 = 25
2x = 29
x = 14.5
Answer: He used to receive $14.50.
Answer:14.5
If you want a full step explanation: https://brainly.com/question/19345016