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3 years ago

A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? Show your work and explain

Mathematics

1 answer:

Deffense [45]3 years ago

3 0

Right because if you make a triangle like that than you make a right a right angle

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The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Loc

adoni [48]

Answer:

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

In this problem we have

$m=2\\b=-6$

$y=2x-6$

To graph a line we nee minimum two points

we have the y-intercept (0,-6)

Using the slope find out the second point

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

From the point (0,-6), count right 1 units and up 2 units

(0+1,-6+2)

(1,-4)

Plot the points (0,-6) and (1,-4) and join them to graph the line

therefore

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

4 0

3 years ago

What is the volume of both shapes ?

Nataly [62]

Answer:

314 ft cubed

Step-by-step explanation:

To find the volume, find the volume of the cone and add it to the volume of the cylinder.

The volume of a cone is

$V= \frac{1}{3}\pi r^2 h= \frac{1}{3}\pi (5^2)(12) = \frac{1}{3}\pi (25)(12)= \frac{1}{3}\pi *300 = 100\pi$ .

The volume of the cylinder is

$V=\pi (5^2)(4)= \pi (25)(4)= 100\pi$

Together their volume is $100\pi+100\pi=200\pi \\200\pi =314ft^3$

6 0

3 years ago

Helpppp pleaseeeee✋

Mazyrski [523]

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

HELP!!!

AfilCa [17]

1.
-x = 2 - 3x + 6
-x + 3x = 8
2x = 8
x = 8/2
x = 4

2.
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x ← wrong
The correct step: Step 2: 6x − 8 = 12 + 2x

3.
The next step is 2m = 8

3 0

3 years ago

Read 2 more answers

Box of 15 gadgets is known to contain 5 defective gadgets if 4 gadgets are drawn at random what is the probability of finding no

baherus [9]

To solve this problem, we make use of the Binomial Probability equation which is mathematically expressed as:

P = [n! / r! (n – r)!] p^r * q^(n – r)

where,

n = the total number of gadgets = 4

r = number of samples = 1 and 2 (since not more than 2)

p = probability of success of getting a defective gadget

q = probability of failure = 1 – p

Calculating for p:

p = 5 / 15 = 0.33

So,

q = 1 – 0.33 = 0.67

Calculating for P when r = 1:

P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3

P (r = 1) = 0.3970

Calculating for P when r = 2:

P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2

P (r = 2) = 0.2933

Therefore the total probability of not getting more than 2 defective gadgets is:

P = 0.3970 + 0.2933

P = 0.6903

Hence there is a 0.6903 chance or 69.03% probability of not getting more than 2 defective gadgets.

5 0

3 years ago