The height is 7.04 feet at the rafter's peak that makes an angle of 28° and 15 feet long.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Given that,
Length of rafter = 15 feet,
Angle made by rafter with the horizontal = 28°
Apply sin formula to determine the length x of the rafter,
sinθ = x / 15
sin28° = x / 15
0.469 = x / 15
x = 7.04
The height of the rafter is 7.04.
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3. Identify the function rule from the values in the table
Input Output
output equals input times 4
output equals input minus 6
output equals input plus 10
output equals input plus 6
Answer:
Output equals imput minus 6
Step-by-step explanation:
First, we know that -2 is 1 of the Imputs.
Then we know 8 is the second Output
8 - (-2) so that means it would be minus 6 Imput.
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Output equals input times 4 is the function rule from the values in the table.
Looking at the values in the table, we can identify the function rule by analyzing the relationship between the input and output values.
The output values are obtained by applying specific operations to the input values.
Let's examine each statement and see which one matches the given input-output pairs:
Output equals input times -4:
When we multiply the input values by -4, we get the following output values:
[tex]-2 \times -4 = 8[/tex]
[tex]0 \times -4 = 0[/tex]
[tex]1 \times -4 = -4[/tex]
[tex]3 \times -4 = -12[/tex]
This function rule matches the given input-output pairs.
Therefore, the function rule that matches the values in the table is "Output equals input times -4."
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In AQRS, q = 6.8 inches, r = 1.9 inches and ZS=141°. Find the length of s, to the
nearest 10th of an inch.
Answer:
c
Step-by-step explanation:
Please answer <3
❤️URGENT 20 EACH❤️ty
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
I need help. I have no idea how to do this!
Answer:
A ≈ 5.1 units²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × 2 sides × sin (angle between them ) , then
A = 0.5 × 7 × 3 × sin29° ≈ 5.1 units²
A rectangle has one side that measures 3x + 1 and another that measures 4y + 3. Keith says that the perimeter of the rectangle is 3x + 4y + 4. What is Keith's mistake and what is the correct perimeter of the rectangle?
Answer:
he added the dimensions of the rectangle. He used the wrong formula. the formula he used was length + breadth. He should have multiplied by 2
6x + 8y +8
Step-by-step explanation:
Perimeter of a rectangle = 2 x (L + B)
L = length
b = breadth
2 (3x + 4y + 4. ) = 6x + 8y +8
Could you help me with this?
Put in ascending order 0.32, -1.9, square root, 2 pi, 2/3
Answer:
Chicken
Step-by-step explanation:
When the chicken gets rolled in the batter. it gets fried after.
I don't know how to explain it but please help!
Answer:
required answer. is 1/x³
The price of a car was decreased by 9% to £14000. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
152600
Step-by-step explanation:
this is because 9% of 140000 is 1523
Esis inversely proportional to t.
When s = 0.8, t = 7
Work out t when s = 70
Answer:
t=0.08
Step-by-step explanation:
see attached kindly
6.
3
7
4
8
The area of the figure is 22 sq units.
TRUE
FALSE
arch
Help please :>
Convert 108 km/hr into m/s
Answer:
hello :) the answer is 30 m/s
Answer:
30m/s
Step-by-step explanation:
Convert km to m:
108 —> 108000
Convert hr to s
1 —> 3600
Now put them back into their place in the fraction: 108000/3600
Simply the fraction: 30m/s
9. Cal is buying T-shirts and shorts. T-shirts
cost $12 and shorts cost $25. He plans
on spending no more than $160 and
wants to buy at least 5 items.
a. Write a system of linear inequalities
that represents the situation.
b. Graph the inequalities.
Hey there!
Step By Step:
Well so we know that 12 is about half of an 25. So what we are gonna do is to buy 3 of 12$ and 2 of 25$.
3x12=36 and 2x25=50.
With adding those two last numbers, you’ll get $86.
Graph would be down below.
Hope it helps :D
F(x)= x+4
How do you do this step by step?
Answer:
you find the x and y intersepts and draw the line
Step-by-step explanation:
if we break down the equasion in the end it's y=x+4 and from there we can find the intersepts by canceling out, y=x+4 becomes y=4 and 0=x+4 wich is x=-4
Answer plsssssssss fastttt
Please help me with this
Answer:
i cant help you with this sorry
Step-by-step explanation:
I'm confused, please help. :/
uh i did this wrong so uh just ignore what i said
Answer:
82°
Step-by-step explanation:
Angle C and B equal the measure of angle A so,
143 - 61 = 82
Angle B is 82°
4
please help asap !!
Select the correct answer.
Which set of numbers is arranged in increasing order?
O A.
1
OB.
TT, V10. 3.14.22
3.14, 7, 2, VTO
Oc. 44, V1O. 3.14. 7
OD V10, 42, 3.14, 5
Answer:
[tex]\textsf{B.} \quad 3.14, \; \pi, \; \dfrac{22}{7}, \;\sqrt{10}[/tex]
Step-by-step explanation:
The given set of numbers (in any order) is:
[tex]\pi, \;\sqrt{10}, \; 3.14, \; \dfrac{22}{7}[/tex]
Convert each number to its decimal equivalent to 4 decimal places:
[tex]\implies \pi=3.1416\;(\sf 4\;d.p.)[/tex]
[tex]\implies \sqrt{10}=3.1623\;(\sf 4\;d.p.)[/tex]
[tex]\implies 3.14 = 3.1400\;(\sf 4\;d.p.)[/tex]
[tex]\implies \dfrac{22}{7}=3.1429\;(\sf 4\;d.p.)[/tex]
Each number has 3 units and 1 tenth.
Comparing the hundredths, all the numbers have 4 hundredths except √10 which has 6 hundredths. Therefore, √10 is the largest number since 6 > 4.
Comparing the thousandths of the other three numbers, 3.14 is the smallest number as it has zero thousandths.
π is the next smallest as it has a one thousandth.
Therefore, the given set of numbers in increasing order is:
[tex]3.14, \; \pi, \; \dfrac{22}{7}, \;\sqrt{10}[/tex]
A(2, 4)
-------> A' ( 14, 28)
Answer:
Move 12 units to the right and 24 units up to complete the conversion from point A to point A'
Solve the system using substitution.
Y-2x=3
3x – 2y=5
A.(-1/2,2)
B. (2,7)
C. (-8,-13)
D. (-11,-19)
How many squares would have to be shaded so that 2/9 of the shape is shaded?
Answer:
4.
Step-by-step explanation:
There are 18 squares, if you want to shade 2/9 you have to make the denominator, which is 9 into 18, so you multiply by 2, you will do the same thing to the numerator, 2x2=4 9x2=18.
Brainiest would be appreciated.
There are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have to determine the number of squares that would have to be shaded so that 2/9 of the shape is shaded
According to the given figure,
There are 3 rows and 6 columns of squares
So the number of squares would be 3 × 6 = 18
There are 18 squares, therefore if you want to shade 2/9, you must first divide the denominator, which is 9 into 18, by 2, and then multiply by 2.
If 2/9 of the shape is shaded: 18 × 2/9 ⇒ 36/9 = 4
Hence, there are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.
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KIA buys a shirt that cost $12.50 and some pairs of socks that are $2.50 each. She pays a total of $27.50. How many pairs of socks did kia buy?
Function g can be thought of as a translation (shifted) version of f(x)=x^2
What is the equation for g (x).?? PLEASE HELP ASAP
Answer:
(x+5)²
Step-by-step explanation:
To solve this we just need to shift the graph 5 spots to the left
to do this we need to add 5 to the x
(x+5)²
3 relaciones entre dos conjuntos de variables que no puedan ser concidera das funciones
Step-by-step explanation:
el agua con el fuego debido a que no son los mismos funciona
Please help with this problem from algebra II, I will give brainliest!!!
Simplify the expression (-6+3i)+(6+4i)
Answer:
7iExplanation:
(-6 + 3i) + (6 + 4i)
-6 + 6 = 0
3i + 4i = 7i
7iEli is following this recipe to bake bread rolls. He uses 600ml of water. How much of the others ingredients does he use? 600g flour 9g salt 12g yeast 30ml oil 500ml water
Answer:
720 grams of flour.
10.8 grams of salt.
14.4 grams of yeast
36 ml of oil.
Step-by-step explanation:
The recipe is:
600g flour
9g salt
12g yeast
30ml oil
500ml water
Now we use 600ml of water.
We can take the quotient between the amount of water we use and the amount of water in the recipe, this is:
600ml/500ml = 1.2
Then the ratio between the quantities we need to use and the quantities un the recipe should be always 1.2
Or the quantities that Eli needs to use will be 1.2 times the ones shown in the recipe.
Then she needs to use:
1.2*600g flour = 720 grams of flour.
1.2*9g salt = 10.8 grams of salt.
1.2*12g yeast = 14.4 grams of yeast
1.2*30ml oil = 36 ml of oil.
8 = 3a – 4
what is value of a ?
Answer:
a=4
Step-by-step explanation:
8=3a-4
12=3a
a=4
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
- 6(x + 2) = 30
- 6(x + 2) = 30
- 6x + (- 12) = 30
The solution is -
Answer:
-7
Step-by-step explanation: