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disa [49]
3 years ago
10

Can some1 help me?:(

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

wy = 13

xz = 9

wz = 15

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f varies jointly as g, h, and j. One set of values is f=18, g=4, h=3, and j=5. Find f when g=5, h=12, and j=3.​
IrinaK [193]

Answer:

\boxed{60}

Step-by-step explanation:

f ∝ ghj

Convert the proportion to an equality

f = kghj

Calculate the value of k

18 = k × 4 × 3 × 5

18 = 60k

 k = ⅓

Rewrite the equation with the value of k

f = ⅓gkj

Find the new value of f

f =⅓ × 5 × 12 × 3 = \boxed{60}

6 0
3 years ago
A university student center sells 1,600 cups of coffee per day at a price of $2.40. a market survey shows that for every $0.05 r
Lena [83]
2.00 would be the best price to maximize revenue in the situation you gave me to answer

5 0
3 years ago
(ii) A peacock is sitting on the tree and observes its prey on
Paraphin [41]

Answer:

74.8 m

Step-by-step explanation:

We are given that

\theta=22^{\circ}

Speed of peacock,v=10 km/h

Time,t=1 min 12 sec=60+12=72 s=\frac{72}{3600}=0.02 h

1 hour=3600 s

Distance=vt=10\times 0.02=0.2 km=0.2\times 1000=200 m

Using 1 km=1000 m

We know that

sin\theta=\frac{Perpendicular\;side}{hypotenuse}

Using the formula

sin22=\frac{h}{200}

h=200sin22=200\times 0.374=74.8 m

Hence, the peacock was at height  of 74.8 m on the tree.

3 0
3 years ago
I NEED HELP WITH #36
Roman55 [17]

Answer:

2 3/4 in

Step-by-step explanation:

The sum of the marked distances is equal to the total distances shown:

... (1 5/8) + ? + (1 5/8) = 6

... ? = 6 - (1 5/8 + 1 5/8) . . . . . subtract the constants on the left

... ? = 6 - (2 5/4) . . . . . . . . . . . add the numbers in parentheses

... ? = 6 - 3 1/4 . . . . . . . . . . . . rewrite the number in parentheses (2+5/4 = 2 + 1 1/4)

... ? = (6 -3) -1/4 = 3 -1/4 . . . . . see below

... ? = 2 3/4

_____

<em>Comment on subtacting mixed numbers</em>

Some folks find it convenient to subtract by adding. To find the difference between 3 1/4 and 6, they would start by adding 3/4 to make 4, then add 2 to make 6. Then they see the difference is 3/4 + 2 = 2 3/4.

Here, I chose to subtract 3 1/4 by subtracting 3, then subtracting 1/4. After subtracting 3 from 6, I get 3, from which I now need to subtract 1/4. It should be clear that taking 1/4 away from 3 will leave 2 3/4. (One of the units has been converted to 4/4 to make the subtraction of 1/4 possible.)

_____

<em>Comment on doubling a fraction</em>

As part of this problem, we needed to add 1 5/8 to itself. We did that by doubling the integer part, and doubling the fraction. When a fraction has an even denominator, it is easy to double it: replace the denominator with half its value — 2×(5/8) = 5/4, where the denominator 4 is half the denominator 8.

8 0
3 years ago
Consider that ΔXYZ is reflected across the y-axis and translated 2 units down.
DanielleElmas [232]

Answer:

X'Y' ≅ XY

∠Z ≅ ∠Z'

Step-by-step explanation:

we know that

A transformation that does not alter the size or shape of a figure is called a <u><em>Rigid Transformation</em></u>

Translations, rotations and reflections are rigid transformations

<u><em>Verify each statement</em></u>

case 1) X'Y' ≅ XY

The statement is true

Because

Reflecting and translating the triangle not change its shape or its size

The corresponding sides of the image and the pre-image are congruent

case 2) ∠Z ≅ ∠Z'

Because

Reflecting and translating the triangle not change its shape or its size

The corresponding angles of the image and the pre-image are congruent

case 3) ΔXYZ is not congruent to ΔX'Y'Z'

The statement is false

Because

ΔXYZ is congruent to ΔX'Y'Z'

case 4) Reflecting and translating the triangle change its shape and size

The statement is false

Because

Reflecting and translating the triangle not change its shape or its size

7 0
3 years ago
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