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2 years ago

X/15 = 8 its a one step equation

Mathematics

1 answer:

Arada [10]2 years ago

5 0

Answer:

120

Step-by-step explanation:

multiply 15 on each side which cancels out the fraction

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A 12-meter ladder leans against a building forming a 30° angle with the building.

KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

Option 1:

The ladder, ground and wall form a right triangle.

The hypotenuse (ladder) is 14 feet.

The bottom of the ladder is 6 feet from the wall,

so the base of this right triangle is 6 feet.

The top of the ladder to the ground represents

the missing leg of the right triangle.

The pythagorean theorem applies, which says

6^2 + h^2 = 14^2 where h is the height

of the top of the ladder to the ground

36 + h^2 = 196

h^2 = 196 - 36

h^2 = 160

h = sqrt(160)

= sqrt(16 * 10)

= sqrt(16)* sqrt(10)

= 4*sqrt(10) <--- exact answer

= 4 * 3.16227766016838....

= 12.64911....

12.65 <--- rounded to 2 digits as directed

----------------------------------------------

Option #2: using trig

With respect to the angle formed by the bottom of the

ladder with the ground

cos T = 6/14 = 3/7

T = inverse-cosine(3/7) = 64.623006647 degrees

sin(64.623006647) = h/14

h = 14*sin(64.62300647) = 12.6491106 <--- same answer

hope this helps

Step-by-step explanation:

5 0

2 years ago

Which of the following is equivalent to 60 Superscript one-half?

vitfil [10]

Answer:c

Step-by-step explanation:

The Answer is C.

4 0

3 years ago

Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Base

suter [353]

Answer:

The correct option is option (3) 4 ÷ 25.

Step-by-step explanation:

The expression in terms of m and n is:

$F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}$

Exponent rule of division:

$a^{x}\div a^{y}=a^{x-y}$

Compute the value of the expression for m = -5 and n = 3 as follows:

$F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}$

$F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}$

$=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}$

Thus, the correct option is option (3) 4 ÷ 25.

8 0

3 years ago

Read 2 more answers

The population mean annual salary for environmental compliance specialists is about $62,000. A random sample of 32 specialists

lakkis [162]

Answer: 0.002718

Step-by-step explanation:

Given : The population mean annual salary for environmental compliance specialists is about $62,000.

i.e. $\mu=62000$

Sample size : n= 32

$\sigma=6200$

Let x be the random variable that represents the annual salary for environmental compliance specialists.

Using formula $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ , the z-value corresponds to x= 59000 will be :

$z=\dfrac{59000-62000}{\dfrac{6200}{\sqrt{32}}}\approx\dfrac{-3000}{\dfrac{6200}{5.6568}}=-2.73716129032\approx-2.78$

Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than $59,000 :-

$P(z$

Hence, the probability that the mean salary of the sample is less than $59,000= 0.002718

3 0

3 years ago

Choose the mixed number that has not been reduced to simplest form. 4 2/5, 5 5/6, 5 7/12, 7 14/18

ANEK [815]

7 14/18 ...this is the answer

(simplest form should be 7 7/9)

6 0

3 years ago