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forsale [732]
3 years ago
15

-4=3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0

Answer:

x = 22

Step-by-step explanation:

<u>Step 1:  Add 4 to both sides</u>

<u />\sqrt{2x + 5}-4+4=3+4

\sqrt{2x+5}=7

<u>Step 2:  Square both sides</u>

<u />(\sqrt{2x+5})^2 = 7^2

2x+5 = 49\\

<u>Step 3:  Subtract 5 from both sides</u>

<u />2x + 5 - 5 = 49 - 5\\

2x = 44

<u>Step 4:  Divide both sides by 2</u>

<u />2x / 2 = 44 / 2\\

x = 22

Answer:  x = 22

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a cactus casts a shadow that is 15ft long. a gate nearby cast a shadow that is 5 ft long. find the height of the cactus
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The height of the cactus is three times the height of the gate
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3 years ago
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to
Vedmedyk [2.9K]

Answer:

Option C)

50 + \dfrac{I}{40}          

Step-by-step explanation:

We are given the following in the question:

I is the annual income of a person in a country R

2 percent of one’s annual income =

\dfrac{2}{100}\times I = 0.02I

1 percent of one’s annual income =

\dfrac{1}{100}\times I = 0.01I

Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

=\dfrac{0.01I + 100}{2}

Income tax =

2 percent of one’s annual income + Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

= 0.02I + \dfrac{100+0.01I}{2}\\\\=50 + \dfrac{0.04I + 0.01I}{2}\\\\=50 + \dfrac{0.05I}{2}\\\\= 50 + \dfrac{I}{40}

Thus, income tax is given by

Option C)

50 + \dfrac{I}{40}

6 0
3 years ago
Carpenters use a tool called a speed square to help them mark right angles . A speed square is a right triangle
Ronch [10]

Answer:

A. Area = \frac{1}{2}(2x^2 - 2x - 24)

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Step-by-step explanation:

A. Area = \frac{1}{2}bh

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b = 2x + 6

h = x - 4

Plug in the values to get a polynomial that represents the area of the tool

Area = \frac{1}{2}(2x + 6)(x - 4)

Area = \frac{1}{2}(2x(x - 4) + 6(x - 4)

Area = \frac{1}{2}(2x^2 - 8x + 6x - 24)

Area = \frac{1}{2}(2x^2 - 2x - 24)

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24)

Area = \frac{1}{2}(2(20.25) - 9 - 24)

Area = \frac{1}{2}(40.5 - 9 - 24)

Area = \frac{1}{2}(7.5)

Area = 3.75 in^2

8 0
4 years ago
Three robots ran the same distance. The first robot ran 150 meters per minute.
Molodets [167]
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3 years ago
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slava [35]

Answer:

I believe it is 60 degrees

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