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sladkih [1.3K]
2 years ago
13

Find the value of x

Mathematics
1 answer:
marshall27 [118]2 years ago
3 0

Answer:

x = 22

Step-by-step explanation:

(x+1)+(3x+1) = 4x+2

4x+2=90°

Solve for x:

4 x + 2 = 90

Subtract 2 from both sides:

4 x + (2 - 2) = 90 - 2

2 - 2 = 0:

4 x = 90 - 2

90 - 2 = 88:

4 x = 88

Divide both sides of 4 x = 88 by 4:

(4 x)/4 = 88/4

4/4 = 1:

x = 88/4

The gcd of 88 and 4 is 4, so 88/4 = (4×22)/(4×1) = 4/4×22 = 22:

Answer: x = 22

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This question is worth 50 points, make sure to provide ALL calculations without using a calculator, though.
Fed [463]

Answer:

<h2>16 cm</h2>

Step-by-step explanation:

Use the formula for the volume of a cone:

V = (1/3)(area of base / round opening)(height of cone)

In this case we're interested in the following:

(1/3)(area of base / round opening)(height of cone) ≤ 535 cm³

First, mult. both sides by 3 to elim. the fraction 1/3:

(area of base)(height) ≤ 1605 cm³

Since the height is 8 cm, we now have:

(area of base) / (8 cm) = 1605 cm³, or

(area of base) = (1605 cm³) · (8 cm) = 200.625 cm²

The formula for the area of a circle is A = 3.14·r², where r is the radius.

If the area of the base is 200.625 cm², as found above, this equals 3.14r², and so

r² = (200.625 cm²) / (3.14) = 63.89 cm²

Then the radius must be +√63.89 cm, or 8 cm

and the diameter must be 2r = 2(8 cm) = 16 cm.  This would be the largest width of the container.

7 0
3 years ago
If 8 units represent 168 liters, what is the value of 10 units?
SIZIF [17.4K]
210 liters i'm pretty sure
6 0
3 years ago
A study will investigate the effectiveness of a new early reading program on
Bas_tet [7]

Answer:

B, C, D

Step-by-step explanation:

The information given about the teachers is limited to the fact they teach preschool.

B and D. If a teacher has more experience teaching, they are probably better at teaching. Even if the subject is not reading, they gain transferable teaching skills with experience.

C. Although both teachers teach preschool, one may have many more years of experience or other qualifications, which will likely help them to teach better in generally.

A. The samples 30 and 40 students in a typical class are enough to show different students' various learning styles and strengths. The sample size is big enough.

4 0
3 years ago
Please help<br><br> I need help creating a table of value for this equation
Fed [463]

Answer:

Create the table and choose a set of x values. Substitute each x value (left side column) into the equation. Evaluate the equation (middle column) to arrive at the y value. An Optional step, if you want, you can omit the middle column from your table, since the table of values is really just the x and y pairs.

Step-by-step explanation:

Specify a name for the function.

Specify a name and data type for each input parameter.

Specify the routine attributes.

Specify the RETURNS TABLE keyword.

Specify the BEGIN ATOMIC keyword to introduce the function-body.

Specify the function body.

7 0
3 years ago
32 divided by 1.6 how to work out
neonofarm [45]

Answer:

20

Step-by-step explanation:

\frac{32}{1.6} =\frac{32}{\frac{16}{10}} =32*\frac{10}{16} =\frac{320}{16} =20

So the answer is 20

4 0
2 years ago
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