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astra-53 [7]
3 years ago
5

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Answer: 67.68^{\circ}

Step-by-step explanation:

Given

\angle W=90^{\circ}

VW=32\ ft

WU=78\ ft

from the figure, we can write

\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}

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A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
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The rice will cost $17.6  for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be \frac{\$ 1.99}{2}=\$ 0.995

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is  $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}

Therefore rice will cost $17.6  for serving 40 people

7 0
3 years ago
if 5 potatoes together weigh a kilogram and a 8 pears together 1,200 grams which weighs more a potatoe or a pear
pychu [463]
Pears because grams are more than kilograms
6 0
3 years ago
Read 2 more answers
Express each rate as a unit rate. (5points each)
neonofarm [45]
To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.

For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.

Likewise for the other question it would be 270/15.
5 0
4 years ago
Jim needs to divide 762 coupon books equally among 9 stores. In which place is the first digit of the quotient? Select the word
nevsk [136]

Answer:

ones

Step-by-step explanation:

It is given that Jim wants to divide 762 coupons equally among 9 stores.

So dividing 762 by 9, we get

$=\frac{762}{9}$

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The position of the digit before the decimal place start with 'ones' and then proceeds to tens, hundreds, thousands, etc.

Therefore, the first digit of the quotient is in the ones place of the position value or place value.

6 0
3 years ago
What are the zeros of the polynomial function f(x)=x^3-2x^2-8x?
Rashid [163]

Answer: -2, 0, 4

Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

x(x² - 2x - 8) = 0

Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

x(x - 4)(x + 2) = 0

Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

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The zeros of the polynomial function are -2, 0, and 4.

3 0
3 years ago
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