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Andrews [41]
4 years ago
6

How do you simplify this math problem 5(1 + 3x) ?

Mathematics
1 answer:
lubasha [3.4K]4 years ago
5 0

you need to distribute the 5. multiply each term in the parentheses by 5:

5(1) + 5(3x)

5 + 15x

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The angle looking up at the sun is 70°. A flagpole casts a shadow of 15 ft. Draw a diagram and find the height of the flagpole
deff fn [24]

Answer:

The length of the flagpole be 41.2 ft .

Option (A) is correct .

Step-by-step explanation:

As given

The angle looking up at the sun is 70°.

A flagpole casts a shadow of 15 ft .

Now by using the trignometric identity .

tan \theta = \frac{Perpendicular}{Base}

\ theta = 70^{\circ}

tan\ 70^{\circ} = \frac{AB}{BC}

BC = 15 ft

tan 70° = 2.75 (Approx)

2.75 = \frac{AB}{15}

AB = 2.75 × 15

     = 41.2 ft

Therefore the length of the flagpole be 41.2 ft .

Option (A) is correct .

4 0
4 years ago
Read 2 more answers
The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d
TEA [102]

Answer:

The probability that it would take more than four hours to construct a soapbox derby car = 0.1587 or 15.87\%

Step-by-step explanation:

Given -

Mean (\nu )  = 3 hours

Standard deviation (\sigma  ) = 1 hours

Let X be the no of hours to construct a soapbox derby car

the probability that it would take more than four hours to construct a soapbox derby car =

P(X > 4)  = P(\frac{X - \nu }{\sigma}> \frac{4 - 3 }{1})

                = P(Z > 1)                   Put (Z = \frac{X - \nu }{\sigma})

                 =  1 -  P(Z <  1)            

                 =  1 - .8413                    Using z table

                  = 0.1587

3 0
3 years ago
Solve for x: 2x + 4 ≤ 12
ZanzabumX [31]
Hi there, please give me the brandies the answer if I helped. The photo is attached below.

4 0
3 years ago
the perimeter of the triangle shown to the right is 154 meters. find the lenght of each side. (4x)m  (7x+2)m  (7x+8)m
yaroslaw [1]
The first to find the length of each side, we have to find the value of x :
(4x) + (7x + 2) + (7x+8) = 154

4x + 7x  + 7x + 2+8 = 154

18x +10 = 154

18x = 154 - 10

18x = 144

x =  \frac{144}{18}

\boxed{x=8}

<span><u>Solution First side :</u>
</span>(4x)m = (4 \cdot 8)m = 32\ m<span>
 
<u>Solution Second Side :</u>
</span>(7x+2)m = (7(8)+2)m = 58\ m<span>  

<u>Solution Third Side :</u>
</span>(7x+8)m = (7(8)+8)m = 64\ m
6 0
3 years ago
Read 2 more answers
Which function is the inverse of f(x) = -5x - 4
Rzqust [24]

Answer:

f-¹(x) = -⅕x - ⅘

Step-by-step explanation:

f(x) = -5x - 4 → x = -5y - 4 → 5y = - x - 4 → y = -⅕x - ⅘ → f-¹(x) = -⅕x - ⅘

5 0
3 years ago
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