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AnnyKZ [126]
3 years ago
7

Solve using a suitable inverse operation:

Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

a = - 10

Step-by-step explanation:

Given

\frac{a}{5} = - 2

a is divided by 2. The inverse operation to division is multiplication, thus

Multiply both sides by 5 to clear the fraction

a = 5 × - 2 = - 10

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A rectangle has a perimeter of 26 units. The length of the rectangle is 2X+3 and the width is 3X. What is the width of the recta
densk [106]

Answer:

X = 2

Step-by-step explanation:

Divided 26 (total perimeter) by 4 = maximum side length possible = 26÷4 =.6.5

I used the trial and error technique

Guessed it was 2 working out to see if i was right or wrong:

Length: 2(2) + 3 = 4+3 = 7

Width: 3(2) = 6

7+7+6+6 = 26

Therefore X = 2

3 0
3 years ago
What is the product of seven and eight decreased by “x” if x =15?
jekas [21]

Answer:

0

Step-by-step explanation:

product is another word for +

decreased is another word for -

____________________________

(7 + 8) - x

so

(7+8) - 15

15 - 15

= 0

7 0
3 years ago
Read 2 more answers
What is the arc measure of \stackrel{\LARGE{\frown}}{AC}
algol [13]

Answer:

72°

Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = \frac{\theta}{360}*2\pi r

Where θ is the central angle in degrees.

Since the length of arc ABC is 16π,

16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

5 0
4 years ago
See attachment below
KatRina [158]

Answer: Third Option

x=1.469743

Step-by-step explanation:

We have the following exponential equation

3^{x+1}=15

We must solve the equation for the variable x

To clear the variable x apply the log_3 function on both sides of the equation

log_3(3^{x+1})=log_3(15)

Simplifying we get the following:

x+1=log_3(15)

To simplify the expression log_3 (15) we apply the base change property

log_b(y)=\frac{log(y)}{log(b)}

This means that:

log_3 (15)=\frac{log(15)}{log(3)}

Then:

x+1=\frac{log(15)}{log(3)}

x=\frac{log(15)}{log(3)}-1

x=1.469743

6 0
3 years ago
What are trapezoids?
postnew [5]

Answer:

Is a quadrilateral with one pair of opposite sides parallel

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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