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notsponge [240]
4 years ago
15

Question #1

iddle" class="latex-formula">
Mathematics
1 answer:
natima [27]4 years ago
5 0
X is greater than or equal to -2
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How do I construct bisectors, angles, & segments?
Doss [256]

Answer:

Step-by-step explanation:

These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.

1. Angle construction:

Given an angle. construct an angle congruent to the given angle.

Given: Angle ABC

Construct: An angle congruent to angle ABC

Procedure:

1. Draw a ray. Label it ray RY.

2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.

3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.

4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.

5. Draw ray RQ.

Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.

You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.

4 0
3 years ago
A test was given to a group of students. The grades and gender are summarized below A B C TotalMale 5 9 2 16Female 7 11 12 30Tot
faust18 [17]

Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females

From the information given,

number of females that got a C in the test = 12

number of females = 30

Thus,

Probability that the student got a 'C' GIVEN they are female = 12/30

We would simplify the fraction by dividing the numerator and denominator by 6. Thus,

Probability that the student got a 'C' GIVEN they are female = 2/5

4 0
1 year ago
What is the range of a cosine function?
klemol [59]
The smallest y can be is y = -1. The largest it can be is y = 1. The value of y can be anything in between. The value of y is a real number.

Answer: Choice D) All real numbers between -1 and 1 including -1 and 1

Note: we can write that as -1 \le y \le 1 which in interval notation would look like [-1, 1]. The square brackets tell us to include the endpoints.
4 0
3 years ago
A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
alina1380 [7]
<h3>Given:</h3>
  • h= 8 yd
  • r= 3 yd
<h3>Note that:</h3>
  • h= Height
  • r= Radius
<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}

\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}

Let's solve!

Substitute the values according to the formula.

V= \frac{1}{3}×3.14×{3}^{2}×8

\large\boxed{V= 75.36 \: {yd}^{3}}

<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>

7 0
2 years ago
Can some one help me solve these problem
Korolek [52]
A=pi radius^2
7 is the radius
Pi7^2=153.93
7 0
3 years ago
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