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vodomira [7]
4 years ago
5

Need help. Need to know how to work it out

Mathematics
2 answers:
denpristay [2]4 years ago
8 0

Answer:

B.) Daniel only

Step-by-step explanation:

- 5*12=60

- 2*3=6

 6*12=72

- Evelyn - 60 in

- Daniel - 72 in

- Lucas - 66 in

- Ethan - 72 in

Usimov [2.4K]4 years ago
4 0

Answer:

Daniel only

Step-by-step explanation:

If you take 72 inches and convert it into yards you get 2 yards.

(divide the length value by 36. so 72 divided by 36 and you get 2 yards)

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Find the smallest value of k, such that 16k is a perfect cube.
zimovet [89]

Answer:

k = 4

Step-by-step explanation:

16k = 16(4) = 64 and

64 = 4 × 4 × 4

\sqrt[3]{64}

= \sqrt[3]{4^{3} }

= 4

6 0
3 years ago
What is it basically asking me to do? Find the unit rate?
viva [34]
Yes, I think part A is asking you to find the unit rate :)
3 0
3 years ago
Read 2 more answers
Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so tha
Dafna11 [192]

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

8 0
2 years ago
Read 2 more answers
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
lana [24]

Answer:

Option D. 10,779 feet

Step-by-step explanation:

Given from the figure attached,

PT = OB = 7000 ft

PB = OT = x feet

and angle of elevation (∠POT) = 30°

By applying Tan rule in the triangle POT,

tan33° = \frac{\text{Opposite side}}{\text{Adjacent side}} = \frac{PT}{OT}

tan33° = \frac{7000}{x}

x = \frac{7000}{\text{tan}33}

x = 10779 feet

Therefore, distance between the bird (B) and plane (P) is 10,779 feet.

Option D. will be the answer.

3 0
4 years ago
Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combi
frosja888 [35]

Answer:

The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.

Step-by-step explanation:

The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.

The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero.  Let's do it:

So first the area:

2025 = wl

l = 2025 / w

Now the sides:

p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w

Then we can take its derivative with respect to w

p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\

Now we can set the derivative to zero, and solve for w:

\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 =  \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45

So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.

3 0
3 years ago
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