Use the slope-intercept formula to write an equation for a line that

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0

3 years ago

A Food Marketing Institute found that 39% of households spend more than $125 a week on groceries. Assume the population proporti

Anuta_ua [19.1K]

Answer:

0.6210

Step-by-step explanation:

Given that a Food Marketing Institute found that 39% of households spend more than $125 a week on groceries

Sample size n =87

Sample proportion will follow a normal distribution with p =0.39

and standard error = $\sqrt{\frac{0.39(1-0.39)}{87} } \\=0.0523$

the probability that the sample proportion of households spending more than $125 a week is between 0.29 and 0.41

= $P(0.29$

There is 0.6210 probability that the sample proportion of households spending more than $125 a week is between 0.29 and 0.41

7 0

4 years ago

The ratio of apples to orgens is 1 to 3

-BARSIC- [3]

Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.

8 0

4 years ago

Giving brainlist to whoever answers plz

Elanso [62]

Answer:

Okay! It should be the 3 one.

-2(3)+30=24

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

HELP!!!<br> Find the circumference. Don't forget to label your answer.

bija089 [108]

<h2><u>CIRCUMFERENCE</u></h2>

<h3>Possible Question:</h3>

» The diameter of a circle is 11 in. What is the circle's circumference?

<h3>Answer:</h3>

$\blue{\bold{34.54 \: \:in}}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

$\sf \: given : \underline{ \tt \: d = 11 \: in \: } \\ \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×11 \: in \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 34.54\:in}}}}$

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

4 0

2 years ago