Answers
Answer:
A.
Divide each dimension by scale factor of 5
Big Δ dimensions : Small Δ dimensions
35 : 7
30 : 6
15 : 3
a = 7 in
b = 6 in
c = 3 in
Hope this helps and God bless!
Related Questions
From the observation deck of a skyscraper, Valeria measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 945 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answers
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trigonometric ratio:
tan(23) = d/ 945
d = 401.1 feet
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
Find out more on trigonometric ratio at:
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A school district planted maple trees and oak trees to make a school forest. The district planted 504 trees altogether. The district planted 11 times as many maple trees as oak trees.
How many maple trees did the school district plant?
Answers
Answer:
Number of maple trees planted = 462
Step-by-step explanation:
Let the number of oak trees planted be x.
Given,
The number of maple trees is 11 times the number of oak trees.
Therefore,
Number of maple trees planted = 11 * x = 11x
Total number of trees planted = Number of oak trees planted + Number of maple trees planted
504 = x + 11x
504 = 12x
x = 504/12 = 42
Number of oak trees planted = x = 42
Number of maple trees planted = 11x = 11 * 42 = 462
100+345x94(56x23)095x234
Answers
Answer:
928,543,543,300
What is the midpoint A (10,17) and B (-2,-1)
Answers
Answer:
(4,8)
Step-by-step explanation:
=(1+2/2,1+2/2)
=(10+−2/2,17+−1/2)
=(8/2,16/2)
=(4,8)
how do i solve for x : x/3 = 5?
Answers
Answer:
x/3=5
cross multiply
x=3x5
x=15
Answer:15
Step-by-step explanation:
Step 1: Multiply both sides by 3.
x over 3 = 5
(x/3)*(3)=5*3
x=15
Please help don’t understand at alll
Answers
Answer:
47.3
Step-by-step explanation:
To find the standard deviation use this example formula
[tex]a =\sqrt{\frac{(x-u)^{2} }{N} }[/tex]
a = your answer, the standard deviation you are looking for
x = the value of each carrier
u = the carrier numbers mean (such as mean, median, and mode)
N = the overall total of the carriers
If you find this equation still confusing one of my favorite sites to use is Math.way, where you plug in each number with a comma in between and it solves it for you. Other sites work such as Calculatornet, Calculator.Soup, and Math.is.Fun.
Hope this helps :)
Malika models the volume of a popcorn box as a right rectangular prism and the box can hold 35 cubic inches of popcorn when it is full. Its length is 22 in and its width is 2 1/2 in. Find the height of the popcorn box in inches. Round your answer to the nearest tenth if necessary.
Answers
Answer:
To find the height of this prism, let's use the formula for the volume of a rectangular prism:
V = l · w · h
And this is what we know:
Volume = 35 cubic inches.Length = 22 inches.Width = 2 1/2 inches, simplified would be 2.5 inches.Now we are left to find the height, so plug in what we know into the formula I mentioned earlier:-
V = l · w · h
35 = 22 · 2.5 · h
Solve for 'h'!
35 = (22 · 2.5) · h
35 = 55 · h
35 = 55h
÷55 ÷55
35/55 = h
Which simplifies to:
7/11 = h, the height is 7/11 inches.
Double check;
V = l · w · h
V = 22 · 2.5 · 7/11
V = 35, which is correct!
Answer:21.1 in ^3
Step-by-step explanation:
The length of a box is twice the width and thrice the height. If the volume of the box is 288 m then find the dimensions of the box
Answers
Answer:
length = 12 mwidth = 6 mheight = 4 mStep-by-step explanation:
Let the height be x.
Length is 3 thrice the height, so length ⇒ 3xLength is twice the width, so width ⇒ 3x/2We know the formula for volume of the box.
V = lwhV = (3x)(3x/2)(x)288 = 9x³/29x³ = 576x³ = 64x = 4 mDimensions
height = x = 4 mwidth = 3x/2 = 3(4)/2 = 6 mlength = 3x = 3(4) = 12 mWhich of the following is a simple event?
1.Getting a spade card
2.Getting a numbered card
3.All of the choices
4.Getting an ace of diamond card
Answers
62= -8(8x+4) - 2(5-6x)
Answers
Answer: x=-2
Step-by-step explanation:
Isolate the variables + divide each side.
Which triangles are similar?
A. Triangles A and B
B. Triangles A, B, and C
C. Triangles A and C
D. Triangles B and C
Answers
Answer:
D. Triangles B and C
Step-by-step explanation:
When we look to Triangles B & C :-
37° = 37°
53° = 53°
90° = 90°
Therefore, both Triangles B and C are similar.
Answer:
D. Triangles B and C
Step-by-step explanation:
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
Answers
Answer:
x2−2x−8
Step-by-step explanation:
i need help 9th grade math
Answers
Scott invests $1000 at a bank that offers 6% compound annually
Answers
Answer:
A = 1000(1.06)^t where A is the amount of the investment after t years.
Read more at Answer.Ya.Guru – https://answer-ya.com/questions/2080217-scott-invests-1000-at-a-bank-that-offers-6-compounded-annually.html
a pool is leaking water at a constant rate. The amount of water in the pool changes by -1 1/4 every hour. what is the total change in the water after 2 1/2 hours
Answers
The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.
What is the total change in the water?The total change in the water = -1 1/4 x 2 1/2
= -5/4 x 5/2 = -25/8 = -3 1/8
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
Everett bought a hat and a shirt that were both on sale. The hat was on sale for 2/5 off the original price, and the shirt was on sale for 1/10 off the original price. How much more was the discount on the hat than the discount on the shirt?
Answers
Answer: 3/10
Step-by-step explanation:
Hat price 3/5
Shirt price 9/10
Difference in Discount 2/5 - 1/10 = 4/10 - 1/10
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11) 3(x 11) x2(x 11) – 3(x 11)
Answers
The one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]
We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
To learn more about the factorization refer to the link;
https://brainly.com/question/24182713
Select the correct answer from the choices given (13 4i) n = 0 what is n? 0 1 –13 4i –13 - 4i
Answers
The correct answer from the choices given will be -13 - 4i. The numerical part is the real number while the term containing i is the imaginary part.
What is the complex number?
A complex number is one that both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
[tex]\rm 13 + 4 i + n =0[/tex]
By transfeering the left-hand side term to the right-hand side the sign will change. We will get the value of n as;
[tex]\rm n=-13 - 4i[/tex]
Hence the correct answer from the choices given will be -13 - 4i.
To learn more about the complex number refer to the link;
https://brainly.com/question/10251853
Answer: Its D and for the second part its B
Step-by-step explanation:
Josh's club at school is selling lollipops for a fundraiser. They sold the lollipops for $.50 a piece but had to pay a shipping cost of $30. The function for their lollipop sales is P(s)=.50s−30, where s is the number of lollipops sold and P represents the profit made. If they sold 150 lollipops, how much profit would they make?
Answers
Answer:
they made $45
Step-by-step explanation:
divide 150 by 2 to get $75 - 30 = $45
Riddle: The more you take the more you leave behind you. What is the answer?
Answers
Answer:
Footsteps
Step-by-step explanation:
When you take footsteps, you leave them behind as well.
Two whole numbers have a least common multiple of 24.
Each of these numbers is less than or equal to 12.
The greatest common factor of the two numbers are 4.
What are the two numbers?
A. 6 and 12
B. 8 and 12
C. 4 and 8
D. 4 and 12
Answers
Answer:
Step-by-step explanation:
A. Greatest common factor is 6, so wrong.
B. Correct.
C. Wrong, least common multiple is 8.
D. Wrong, least common multiple is 12.
3x^2-2x+3
when x is 7???
Answers
Answer:
136
Step-by-step explanation:
Let's plug in 7 for x. 3(7)^2-2(7)+3. 7 to the second power is 49. 49*3 is equal to 147. 147-2(7) is 147-14, which is 133. 133+3=136, and therefore that is the answer.
Answer:
136
Step-by-step explanation:
substitute x = 7 into the expression
3x² - 2x + 3
= 3(7)² - 2(7) + 3
= 3(49) - 14 + 3
= 147 - 11
= 136
Help me with this question, please
Answers
Answer:
x = 3 oz of seeds
y = 7 oz of seeds
Step-by-step explanation:
1. x + y = 10 oz (total amount of snack mix in ounces; oz)
2. $1.50x + $2.50y = $22 (how much the seeds and dried fruit costs)
3. Solve the system of equations using algebra.
$1.50 x + $1.50y = $15
$1.50 x + $2.50y = $22
There are $1.50x's in both of the equations, so cancel them out.
Subtract $2.50y by $1.50y and $22 by $15. y = 7
4. Plug in the y value in one of the equations.
x + 7 = 10; x = 3
hi please help i’m having trouble solving these
Answers
Step-by-step explanation:
4) 36
5) 45⁰
6) 42⁰
I hope it helped you
Ansley went for a long hike and burned 452 calories in 2 1/4 hours. Bobbi decided to go for a jog and burned 1,045 calories in 3 1/2 hours. Who burned the most calories per hour
Answers
Answer:
Bobbi burned the most calories per hour.
Step-by-step explanation:
Ratio
452:2.25
1045:3.5
to simplify the ratios, divide to the unit rate.
452/2.25:2.25/2.25
≈201:1 hour, burned 201 calories in 1 hour
1045/3.5:3.5/3.5
≈299:1 hour, burned 299 calories in 1 hour
299 > 201
Answer:
Bobbi burned the most calories per hour.
Step-by-step explanation:
Ratio
452:2.25
1045:3.5
to simplify the ratios, divide to the unit rate.
452/2.25:2.25/2.25
≈201:1 hour, burned 201 calories in 1 hour
1045/3.5:3.5/3.5
≈299:1 hour, burned 299 calories in 1 hour
299 > 201
4 + 6j + 5j - 5j.
I understand most questions like these but these ones are a little harder for me. I’ve already tried multiple times but I can’t get it yet
Answers
Answer:
j=4/6
Step-by-step explanation:
use sadmep to simplify the equation
one shot answer anyone know?
Answers
Answer:
786cm
Step-by-step explanation:
this should be right... hopefully
What is the percent of decrease from 80 to 0?
Answers
Answer:
100%
Step-by-step explanation:
You take everything away meaning you take 100% of the starting value to make it 0
Find the volume ratio given:
Side ratio is 2:7
Answers
Step-by-step explanation:
2/7= 2*2*2/7*7*7
=8/343
The volume ratio is given as;
⇒ 8 : 243
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Side ratio is,
⇒ 2 : 7
Hence, The volume ratio is given as;
⇒ 2³ / 7³
⇒ 2×2×2 / 7×7×7
⇒ 8 / 243
⇒ 8 : 243
Thus, The volume ratio is given as;
⇒ 8 : 243
Learn more about the ratio visit:
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On January 1st, 2003, Gerry opened a savings account that paid 3. 25% annual interest. His initial deposit was $1,100. If Gerry didn’t deposit or withdraw any additional money, what was his balance at the close of December 31st, 2012?
Answers
1514.59
Step-by-step explanation:
The equation says
A=p(1+r)^t
A future value ?
P present value which is 1100
R interest rate 3.25%×100=0.0325
T time from January 1st, 2003 to December 31st, 2012 which is 10 years
Now apply them into the equation
A=1,100×(1+0.0325)^(10)
A=1514.59
Hope it helps!
Answer:$1,457.50
Step-by-step explanation: