a flower garden is 4 feet longer than its width w. Write a polynomial the represents the area of the garden.

In ΔKLM, the measure of ∠M=90°, the measure of ∠L=76°, and LM = 99 feet. Find the length of KL to the nearest tenth of a foot.

hram777 [196]

Answer:

The length of KL is 409.2 foot

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

From the diagram, we can see that we are asked to calculate the value of the hypotenuse KL. Kindly note that the hypotenuse is the longest side of the right-angled triangle and it faces the angle 90 at all times.

Looking at what we have, we can see that we have adjacent and we are asked to calculate hypotenuse.

The trigonometric identity to use here is the Cosine

Cosine = length of adjacent/length of hypotenuse

cos 76 = 99/hypotenuse

hypotenuse = 99/cos76

hypotenuse = 99/0.24192

hypotenuse = 409.22 which is 409.2 to the nearest tenth of a foot

7 0

3 years ago

Edward’s recipe for salad uses a ratio of 214 cups of lettuce to 12 lb of tomatoes. After reading the written response statement

vodka [1.7K]

Answer:

17.8333 OR 0.056074766

Step-by-step explanation:

If the fraction is 214/12, you divide the denominator by the numerator to find your decimal. 214÷12= 17.8333

If the fraction is 12/214, the decimal would be 0.056074766, or 0.06 if you round up.

3 0

3 years ago

Read 2 more answers

write an equation in slope intercept form of the line that passes through the points. (-4, 2), (1, -1)

viva [34]

Answer:Y = 3\5x -2\5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

20. If a certain linear function f(x) is evaluated at 0, the answer is 4.

bija089 [108]

Answer:

y = (1/3)x + 4

Step-by-step explanation:

Two points on this line are (0, 4) and (3, 5).

As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.

Use the slope-intercept equation: y = mx + b.

If we use the data from the point (0, 4), we get:

4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.

7 0

3 years ago

In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a

sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of $\alpha = 0.05$

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

p₂ be the sample of the second shift

p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the $\chi$ ² test gives 8.10

degrees of freedom:

df = k - 1

= 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤ $\alpha$ ≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0

3 years ago