All categories

3 years ago

The area of a kite is 51.68 square inches. One diagonal measures 15.2 inches. What is the measure of the other diagonal?

Mathematics

2 answers:

disa [49]3 years ago

5 0

6.8
letters till 20 characters

svlad2 [7]3 years ago

4 0

we know that

The area of a Kite is equal to

$A=\frac{1}{2}(D1*D2)$

where

D1 and D2 are the diagonals of the kite

In this problem we have

$A=51.68\ in^{2}$

$D1=15.2\ in$

Substitute in the formula and solve for D2

$51.68=\frac{1}{2}(15.2*D2)$

$103.36=(15.2*D2)$

$D2=103.36/15.2$

$D2=6.8\ in$

therefore

the answer is the option B

$6.8\ in$

You might be interested in

You need 112 K-cups for a party. A box of K-cups costs $16 for 36 K-cups. What is the minimum amount of money you will spend?

makkiz [27]

Answer:

$49.60

Step-by-step explanation:

The equation setup I used for this was as follows: $16 x (112/36)

Using PEMDAS, you'd start with the division part, 112/36. Although, I did this a bit differently, and being a bit further in school, I don't know if you go through this where you're at.

Start by factoring 112 into 4(28). This leaves you with 4(28)/36.

Next, cancel 4 out of 36. Since 4 is the common factor in 28 and 36, you cancel the four out of the equation, leaving you with 28/9. Convert this to its decimal form, 3.1.

Finally, take the 3.1 and multiply that by $16, which comes out to $49.60.

5 0

2 years ago

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean tempera

Bond [772]

Answer:

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Step-by-step explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e mean μ = 42

The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

$\mathbf{H_o : \mu = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}$

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule: is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

4 0

3 years ago

Ax+by+c=0 solve for y

kvv77 [185]

$Answer: \large\boxed{y=\frac{-ax}{b} -\frac{c}{b}}$

Step-by-step explanation:

$ax+by+c=0\\ax+by=-c\\by=-ax-c\\y=\frac{-ax-c}{b}\\y=\frac{-ax}{b} -\frac{c}{b}$

8 0

2 years ago

How many vertices does a heptagon have

Olegator [25]

Hey! There are 7 sides and 7 vertices on a Heptagon. Hope this helps!

5 0

3 years ago

Read 2 more answers

If Angela has $500 to invest at 2.5% per annum compounded quarterly, how long will it be

11Alexandr11 [23.1K]

N = number of compounding periods
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (750 / 500) / 4 * log (1 + .025/n)
Years = log (1.5) / 4 * log (1.00625) 
 Years = 0.17609125906 / 4 * 0.0027058933759
Years = 0.17609125906 / 0.0108235735 
Years = 16.2692348382 

Source Calculator
http://www.1728.org/compint.htm

5 0

3 years ago