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goldfiish [28.3K]
3 years ago
13

Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali

zed
x=
(Simplify your answer. Type an integer or a simplified fraction.)

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

Step-by-step explanation:

It is a 30°-60°-90° triangle.

The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 90° angle has length 4, so the side opposite the 30° angle is 2.

x = 2

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Figure A is a scale image of Figure B. What is the value of x?
kari74 [83]

Hey there! :)

Answer:

x = 21 units.

Step-by-step explanation:

Since we know Figure A is just Figure B scaled, we can set up a proportion:

\frac{45}{35}= \frac{27}{x}

Cross multiply to solve for x:

45 · x = 35 · 27

45x = 945

Divide both sides by 45:

x = 21 units.

4 0
3 years ago
An 80% confidence interval is (150, 170). What is the margin of error?
Viefleur [7K]

Answer:

10

Step-by-step explanation:

it is what it is

5 0
3 years ago
10 is subtracted from 2 times a number
Elena-2011 [213]

Answer: the equation is 2n-10

8 0
3 years ago
Activity
hodyreva [135]

Answer:

The answers to each part are:

Part A.

  • <u>The quantity of apples is one-third of the quantity of grapes</u>.

Part B.

  • <u>The quantity of apples is a quarter of the quantity of strawberries</u>.

Part C.

  • <u>The number of cherries is two-elevenths of the total fruit</u>.

Step-by-step explanation:

To identify the answer in each case, you must remember that all the parts are equal, then:

Part A.

The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:

  • 1 / 3 = 1/3 (one-third)

So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.

Part B.

The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:

  • 1 / 4 = 1/4 (a quarter)

In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.

Part C.

First, you must add all the part of fruit:

  • <em>1 part apple</em>
  • <em>1 part orange</em>
  • <em>4 parts strawberry</em>
  • <em>2 parts cherry </em>
  • <em>3 parts grape</em>

The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:

  • 2 / 11 = 2/11 (two-elevenths)

Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.

3 0
3 years ago
Solve the equation negative 3X +9 equals three(2x+3) + 3(x-4) + 1
timofeeve [1]

Answer:

1

Step-by-step explanation:

-3x+9=3(2x+3)+3(x-4)+1

Distributive property in the parenthesis

-3x+9=6x+9+3x-12+1

Combine Like Terms

-3x+9=9x-2

Get the x’s on one side

-3x+9=9x-2

+3.  +2    +3. +2

11=11x

Divide by 11 on both sides

11/11=1

5 0
3 years ago
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