HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
nolan is taking a multiple choice test his grade is given by the equation y=70-2x where y represents his final score and x represents the number of questions he got wrong . waht could the number 70 represents in the equation?
Answer:
70 could represent the total number of points nolan can earn on the test
Step-by-step explanation:
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
13. An amusement park drafting engineer must create a small
Ferris wheel with 12 cabs total, each equally spaced apart to
balance the wheel. How many degrees apart should each cab be?
Answer:
30 degrees
Step-by-step explanation:
a ferris wheel is a circle
the degree of a circle is 360
360/12=30
30 degrees each
What is 98,765 - 9,876?
Answer:
88889
Step-by-step explanation:
This is because you do stacked subtraction to get final answer
Answer:
88,889
Step-by-step explanation:
98,765 - 9,876 = 88,889
I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:
-11 + 9b² = 25
If you can help me I will be very grateful!
Answer:
b=4
Step-by-step explanation:
-11+9b^2=25
add 11 to both sides
9b^2=36
divide both sides by 9
b^2=4
take the square root of both sides
b=4
The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
Answer:
327.21 euros.
Step-by-step explanation:
five times a number is ten more than three times the number. Find the number
5x = 10 + 3x
5x - 3x = 10
2x = 10
x = 5
To check
5(5) = 10 + 3(5)
25 = 10 + 15
25 = 25
Answer:
x = 5
Step-by-step explanation:
Number = x
5x = 10 + 3x
2x = 10
x = 5
2. The sum of the two number is 5 and difference of their squares is 5. Find the difference of the numbers?
help me solomon user.
Answer:
see the attachment
I hope it's help you
Let the two numbers be X and Y
Sum of the two numbers = 5
⇛ X+Y = 5-----(1)
Difference of their squares = 5
⇛ X²-Y² = 5
⇛(X+Y)(X-Y) = 5
⇛5(X-Y) = 5
⇛X-Y = 5/5
⇛ X-Y = 1
The difference of the two numbers = 1. Ans.
also read similar questions: Two numbers differ by 5. The sum of their squares is 193. Find the numbers.
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Lisa is using the equation x2 (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves the problem using the ...
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A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Step-by-step explanation:
the volume of a prism is
length × width × height
so, for the small prism we have
5 × 4 × height = 100 in³
height = 100/20 = 5 in
for the large prism we have
5 × 4 × height = 200 in³
height = 200/20 = 10 in
the larger prism is 10/5=2 times taller than the small prism.
Select perpendicular lines from the given pairs of lines :
Select one:
a.
y = 2x + 3, y = 2x + 7
b.
y = x / 2 + 3, y = − x / 2 + 7
c.
y = 2x + 3, y = − x / 2 + 7
d.
y = 2x + 3, y = x / 2 + 7
Write an equation for the nth term of
the arithmetic seqeuence. Then find a10
Need help please quick
Answer is attached.
Hope it helps :)
A triangle has two sides of length 6 and 18. What is the smallest possible whole-number length for the third side?
Answer:
Step-by-step explanation:
A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?
Answer:
11 units
Step-by-step explanation:
Between 18-8 = 10 and 18+8 = 26, the smallest integer number INSIDE this interval is 11.
So im stuck again can anyone help with #4,6,7 TwT srry 2 ask again
- #4 -
y = 12
[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other
8x - 61 = 6x - 13
8x - 48 = 6x
-48 = -2x
24 = x
[] Then, we will plug it into one of the angles (with x) and solve:
8x - 61
8(24) - 61
192 - 61 = 131
[] Last, these are supplementary angles so we can add them together and set it equal to 180:
131 + 3y + 1 = 180
132 + 2y = 180
2y = 48
y = 12
- #6 -
y = 22
[] First we will solve for x. These angles are vertial angles, so we can do the following:
9x + 42 = 15x
42 = 6x
7 = x -> x = 7
[] Then, we will plug it into one of the angles (with x) and solve:
15x = 15(7) = 105
[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:
4y - 13 + 105 = 180
4y + 92 = 180
4y = 88
y = 22
- #7 -
y = 9
[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:
x + 21 + 3x + 11 = 180
4x + 32 = 180
4x = 148
x = 37
[] Then, we will plug it into one of the angles (with x) and solve:
3x + 11 = 3(37) + 11 = 111 + 11 = 122
[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:
122 = 14y - 4
126 = 14y
9 = y
- See attached for where I pulled numbers from -
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
Answer:
A. y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Given:
x1 = 1
y1 = 4
slope (m) = 3
Solution:
y - y1 = m ( x - x1 )
y - 4 = 3 ( x -1 )
y - 4 = 3x - 3
y = 3x - 3 + 4
y = 3x + 1
what would be the linear equation for (0,2) and (4,-4)
Answer:your mom
Step-by-step explanation:
srry had to do it
The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? (5, 13) (-3, 3) (5, 3) (-3, 13)
BRAINLIEST
Answer:
A. (5, 13)Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)Correct choice is A
Answer:
A. (5, 13)
Step-by-step explanation:
50 yards would be approximately how many meters
Answer:
45.72 meters hope this helps!
What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7
Answer:
6^2Step-by-step explanation:
Question:-To simplify the given expression Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
[As we know, a^x . a^y = a^(x+y)][tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]
[On Simplification][tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]
[As we know, a^x / a^y = a^(x-y)][tex] = {6}^{(7 - 5)} [/tex]
[On Simplification][tex] = {6}^{2} (ans)[/tex]
Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
Step-by-step explanation:
the scenario creates 2 similar triangles :
one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.
and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.
similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.
and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.
we see : large triangle side / small triangle side = 2/1 = 2
and therefore, the same factor (2) applies to the heights.
so,
height of house / height of tree = 2
therefore,
height of tree = height of house / 2 = 150/2 = 75 ft
I need help with this question
Answer:
-5,2
Step-by-step explanation:
it literally represents LM and Shows it on the graph
C.
Find the 4th term in the expansion of (y + 2)
pi(r^2)(12)=324 , how do you find the radius of this equation?
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
help please anybody Pls
Answer:
the 2nd one and the 3rd one
Step-by-step explanation:
hope this helps
What's the answer to the picture I cant figure it out...
Answer:
(p.s area is [tex]a[/tex])
To find the area of a rectangular prism you multiply [tex]l*w*h[/tex]
So then we multiply [tex]4*2*3[/tex] to get 24 the answer is
[tex]a=24[/tex]
brainliest pls
I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)
Answer:
Give me some hint please
Answer:
2. d) L = 10, W = 20
3. c) P = 100
Step-by-step explanation:
2. 2L + W = 40
W = 40 - 2L
A = L x W
= L (40 - 2L)
= 2L^2 + 40L
=-2 (L^2 - 20L)
= -2 (L^2 - 20^2 + 100 - 100)
= -2 (L^2 - 20L + 100) +200
= -2 (L - 10)^2 +200
L = 10
W = 40 - 2(10
=20
3. c. P = 2(L + W)
= 2(49 + 1)
= 100
a. P = 53
b. P = 32.5
d. P = 28
Eliza fell asleep at 9:35 pm she awoke at 8 hours 45 minutes later what time did she wake up??
Answer:
6:20 AM
Step-by-step explanation:
Please help! I highly appreciate it! :D
Here's some required measures !
1 ft = 12 inches 0.4 ft = 0.5 × 12 = 6 inchesLet's calculate its surface area ~
[tex] \sf2[(12 \times 10) + (11 \times 12) + (10 \times 11) ] - 2(7 \times 7) [/tex][tex] \sf2[120 + 132 + 110 ] - 2(49) [/tex][tex] \sf{2(362)} - 98[/tex][tex] \sf724 - 98[/tex][tex]6 \sf26 \: \: in {}^{2} [/tex]Which expressions are equivalent to -2(2h+10)+4h
Simplify the expression: 4s+10–2+4s
Answer:
8s+8
Step-by-step explanation:
Put it into groups: (4s+4s)+(10-2)=8s+8
Brainliest is appreciated
Answer:
(4s+4s)+(10-2)= 8s/8 =1 so s=1
Step-by-step explanation: