Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
A town total allocation for firefighters wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?
Answer:
Number of firefighters= 10
Step-by-step explanation:
Giving the following information:
Total budget= $600,000
Wage per firefighter= $40,000
Benefits per firefighter= $20,000
To calculate the number of firefighters that the town can employ, we need to use the following formula:
Number of firefighters= total budget / total cost per firefighter
Number of firefighters= 600,000 / (40,000 + 20,000)
Number of firefighters= 10
New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles south would a plane need to fly from new York City to reach the equator?
Answer:
The answer is "2793 miles"
Step-by-step explanation:
In this firstly we convert degrees to radians, which can be defined as follows:
[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]
[tex]=\frac{ 2\pi }{9}[/tex]
Now calculating the distance:
[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]
[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]
how to write an answer in Brainly with decorative style like this
please tell me how to edit the answer and make it like how the photo is
please help!!!
Answer: Go to ur profile and choose the tab that says which questions u have asked then you can edit ur response (a little pencil icon will be on the top right corner of ur question)
Step-by-step explanation:
info above.
Points A and B have opposite x-coordinates but the same y-coordinates. On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up. How many units away are each of the points from the y-axis? 2 3 4 5
Answer: 5
Step-by-step explanation: If you take minus 2 and take it to 0 then add 3 you get 5
The points A and B are 2 units away from the y-axis.
What is Cartesian coordinates system?"It is used to specify the location of a point in two-dimensional plane or three-dimensional space.""The cartesian plane is a two-dimensional coordinate plane, formed by the intersection of the x-axis and y-axis."What is the distance of point from Y-axis?"The distance of a point from the Y-axis is its x-coordinate."
For given question,
Points A and B have opposite x-coordinates but the same y-coordinates.
Point A is 2 units to the left and 3 units up.
So the point A has coordinates (-2, 3)
Point B is 2 units to the right and 3 units up.
So the point B has coordinates (2, 3)
We know that the distance of a point from the y - axis is its x-coordinate.
So, the distance of point A from the y-axis is |-2| = 2 units
And the distance of point B from the y-axis is 2 units
Therefore, points A and B are 2 units away from the y-axis.
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HELp giving brainlest and more points
Answer:
[tex]\frac{121}{16}[/tex]
Step-by-step explanation:
[tex](-2\frac{3}{4})^2\\= (-\frac{4\times2+3}{4})^2\\=(-\frac{11}{4})^2\\=\frac{121}{16}[/tex]
A recipe calls for 11 cups of flour, 3 cup of white sugar, and 1 cup of brown sugar. 248
(a) How many total cups of ingredients are there? Show your work using a number line.
(b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup? Justify
your answers. could somebody help me on the number line thing? i got the answer for the equation but I don't know how to add it on a number line. thanks!
Step-by-step explanation:
complete the number line
Need help i will give anybody brainest!!!!!! due in 30 minutes
Answer:
2/3
Step-by-step explanation:
hope you help make me brainist
Colby is finding the surface area of the triangular prism shown. Which
expression will give him the correct value of B, the area of the base?
A. 7(15)
B. 7(11)
C. 1 over 2(7)(11)
D. 1 over 2(7)(15)
Answer:
Answer is A
Step-by-step explanation:
Area of the base = Area of Rectangle = Length x Width = 15x7.
in a class, the ratio of boys to girls is 8 to 5. if there are 75 girls in the class, how many boys are there in the class? process pls
Answer:
120
Step-by-step explanation:
boys : girls
8 : 5
x : 75
to find x, take 75 and divide it by 5:
75 ÷ 5 = 15
(you do this to determine how you can go from 5 to 75)
take the qoutient and multiply it by 8:
15 × 8 = 180
Help fam I have no braincells left
what is 40% off of $400.00
Answer:
$240
To find 40% of $400:
40% (or .4) • $400 = $160
**$160 is 40% of 400**
To find 40% **OFF** of $400:
$400 - $160 = $240
Which proportion can be used to find the height, x, of the building?
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
urgent !! someone help
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?
If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5
What is rectangle?"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."
What is triangle?"A triangle is a polygon with three edges and three vertices."
The given figure contains a rectangle and a triangle.
Length of rectangle = 10 ft
Breadth of rectangle = 8 ft
Area of rectangle = length × breadth
Area of rectangle = 10 × 8 = 80 ft.
Base of triangle = 8 ft.
Height of triangle = 3 ft.
Area of triangle = [tex]\frac{1}{2}[/tex]× base × height
Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.
Total area of fence = Area of rectangle + Area of triangle
Total area of fence = 80 + 12 = 92 ft.
Cost of one foot of fence = $1.50
Cost of 92 foot of fence = $1.50 × 92
Cost of 92 foot of fence = $138
4 square feet is covered by = 1 bag of gravel
1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel
92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel
Cost of 1 bag of gravel = $3.50
Cost of 23 bags of gravel = $3.50 × 23 = $80.5
Total amount spend = $138 + $80.5 = $218.5
Hence, total amount spend is $218.5
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Need help please! I added a picture for the question need help ASAP!
Answer:
36%
Step-by-step explanation:
Tried it with 100 as a base and got to 36. Should be right :)
Answer:
He had not sold 90%
Step-by-step explanation:
make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%
5 cucumbers for 5.95 find the unit price
Answer:
the unit price for this question is 1.19
Answer:
$1.19
Step-by-step explanation:
5.95/5=1.19
Match these items.
1 .
friction
a force causing rotation
2 .
efficiency of lever
highly efficient 1st class lever
3 .
torque
output divided by input
4 .
streamlined shaped
reduces friction on airplane
5 .
equal-arm balance
loss of energy
Answer:
4 streamlined shapes reduces friction on airplane
A streamlined shape reduces friction on an airplane. The correct statement is 4.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
To determine the correct statement will be
1. Friction is a force causing rotation.
The statement is incorrect because the cause of rotation is force.
2. Efficiency of the lever is a highly efficient 1st class lever.
The statement is incorrect.
3. Torque is output divided by input.
The statement is incorrect because the output divided by input is known as productivity.
4. Streamlined shape reduces friction on an airplane.
The statement is correct.
5. Equal-arm balance loss of energy.
The statement is incorrect.
More about the decision-making link is given below.
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I NEED HELP ASAP PLEASE DON'T SPAM :(
Answer:
Answer is D hope this helps
Step-by-step explanation:
can someone help with math please. asap (file attached :)
30° = 0.52
150° = 2.68
-220° = -3.34
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS
Answer:
4/2
Step-by-step explanation:
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Help me with this!!!!
a triangular prism has bases that are 3 inches tall and 8 inches wide the remaining two sides of each triangular base are 5 inches long, and the distance between the bases of the prism is 12 inches. What is the total surface area?
Answer:
there are 16 inches of bases
#6thgrademath help
The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?
Answer:
Area covered by beam = 530 mi² (Approx.)
Step-by-step explanation:
Given:
Radius = 15 mi
Arc angle = 270°
Find:
Area covered by beam
Computation:
Area of sector = [θ/360][π][r²]
Area covered by beam = [270/360][22/7][15²]
Area covered by beam = [0.75][3.1428][225]
Area covered by beam = 530 mi² (Approx.)
Help please I don’t get it & I’m terrible at math.
Answer: x= 132
Step-by-step explanation:
Answer:
I think the other angle would also be 132 degress since the angles are the same
Step-by-step explanation:
since the angles are the same
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
28 is equal to _____ hundredths
Answer:
2.8 I think
Step-by-step explanation:
plz tell me if its wrong