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Klio2033 [76]
3 years ago
8

PLEASE ANSWER QUICKLY ASAP READ THE QUESTION CAREFULLY PLEASE ​

Mathematics
2 answers:
Anna11 [10]3 years ago
6 0

Answer:

140°

Step-by-step explanation:

total angle of a hexagon is 720. We know already 510°. That leaves 210°. The ratio between the two angles is 2:1, therefore angle CDE is 140° and angle DEF is 70 °

AURORKA [14]3 years ago
4 0

Answer:

140°

Step-by-step explanation:

We know that all of these angles here are part of a hexagon, meaning that their angle measures will all add up to 720°.

We can use what we already know and find what CDE and DEF will add up to.

145+90+160+115=510\\720-510=210

Now, assuming x is the measure of DEF, we can create an equation for this.

x + 2x = 210\\3x = 210\\x = 70

This is the measure of DEF, but it asks for CDE, which is twice the size of DEF. So

70\cdot2=140

We can double check this is right by adding up all the measures.

145+90+160+115+140+70=720

Hope this helped!

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A cone has a slant length of 10 and a diameter of 8. Height is unknown.
patriot [66]

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4  

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²  

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

V =1/3 π 4² (9.16) =153.56

6 0
3 years ago
X2 – 5x + 6 = 0 solve.
Strike441 [17]
When you factor you get (x-2)(x-3)=0 then x=2 and x=3
4 0
3 years ago
This is urgentttttt!!!!!!
liraira [26]

Answer:

Part A: a. the point 3 units to the left of 7

Part B: b. -4

Step-by-step explanation:

Part A: The expression can be simplified into 7 - 3, and when you subtract a number, you go left on the number line, so the point 3 left of 7

Part B: 7 - 3 = 4, and to get to 0 from 4, you need to subtract 4 or add -4

7 0
2 years ago
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tail
bagirrra123 [75]

Answer:

Option B:

H_0: \mu = 22.1

H_a: \mu \neq 22.1

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

H_0: \mu = 22.1

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

H_a: \mu \neq 22.1

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

7 0
3 years ago
Evaluate v(x)=12-2x-5 when x=-2,0, and 5 .<br><br> v(-2)= <br><br> v(0)= <br><br> v(5)=
Vaselesa [24]

Step-by-step explanation:

v(-2)= 12-2x(-2)-5

=12+4-5

=16-5

=11

v(0)= 12-2x0-5

= 12-0-5

=12-5

=7

v(5)= 12-2x5-5

= 12-10-5

=12-5

=7

<em><u>Hope </u></em><em><u>it </u></em><em><u>helps </u></em>

6 0
2 years ago
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