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3 years ago

Find the perimeter of the shape 5cm 6cm 17cm 8cm Perimeter = [perimeter] cm

Mathematics

1 answer:

exis [7]3 years ago

8 0

To find perimeter you add up all the sides so 5cm+6cm+17cm+8cm. This will get you 36cm.

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What is measure of angle A?

Goryan [66]

Answer:

$A=53.13\°$

Step-by-step explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

$\alpha=arctan(\frac{opposite}{adjacent})$

Identify the angle $\alpha$ , the opposite side and the adjacent side:

$\alpha=A\\opposite=4cm\\adjacent=3cm$

Substitute into $\alpha=arctan(\frac{opposite}{adjacent})$ .

The measure of the angle A is:

$A=arctan(\frac{4}{3})\\\\A=53.130\°$

Rounded to the nerarest hundreth:

$A=53.13\°$

4 0

3 years ago

The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

posledela

$S-Sam's\ age\\H-Hank's\ age\\\\ \left\{\begin{array}{ccc}\frac{S}{H}=\frac{5}{3}\\S+H=24&\to S=24-H\end{array}\right\\\\substitute\ S=24-H\ to\ \frac{S}{H}=\frac{5}{3}\\\\\frac{24-H}{H}=\frac{5}{3}\\\\cross\ multiply\\\\5H=3(24-H)\\5H=72-3H\\5H+3H=72\\8H=72\ \ \ /:8\\H=9\\\\Answer:Hank\ is\ 9\ years\ old.$

7 0

3 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed th

dexar [7]

$\tan(51^o 33')= \frac{200}{base1}$
<span>
base1= 158.802

</span> $\tan(18^o 33')= \frac{200}{base2}$
<span>
base2=596.008

the distance travelled = 596.008 - 158.802 = 438 m</span>

8 0

3 years ago

Suppose the average of 15 consectutive numbers is 15. What is the average of the first five numbers of the set?

Marina86 [1]

15x15= 225

15x + 105= 225

15x= 225-105

15x= 120

X=8

X+ (x+1) + (x+2) + (x+3)…etc all the way up too +(x+14)=225

The first five numbers of the set: 8, 9, 10, 11, 12

7 0

1 year ago

Describe the graph of |x−2|≥4.

Gemiola [76]

Answer:oof

Step-by-step explanation:

7 0

3 years ago