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RUDIKE [14]
1 year ago
7

Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b. What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units
Mathematics
1 answer:
saw5 [17]1 year ago
6 0

Answer:

5 and one-third units

Step-by-step explanation:

In the given question, we are given the following values:

The length of W Y = 4

The length of Y X = a

The length of Z Y = 3

We are to find a

From the describe diagram above, we would have the following

WY:ZY = YX :WY

WY/ ZY = YX/WY

4/3= a/4

Cross Multiply

4× 4 = 3a

Divide both sides by 3

a = 16/3

a = 5 1/3 units

a = 5 and one third units

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Juli2301 [7.4K]

Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

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1 year ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

Finding b:

We replace one of the points. Replacing (4,80).

q = -6p + b

80 = -6*4 + b

b = 104

So

q = -6p + 104

7 0
2 years ago
Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiec
Natalka [10]
The correct answer is B

6 0
2 years ago
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A researcher found a study relating the value of a car, y, to the age of the car, x. When researchers looked at the association
vredina [299]

Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.

e) The correlation coefficient, r, is 0.397.

Step-by-step explanation:

Given that:

Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158

Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.

Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397

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The answer is 6(0.65-t)

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