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3 years ago

What is the compliment of a 62° angle.

Mathematics

1 answer:

krok68 [10]3 years ago

3 0

Answer:

28°

Step-by-step explanation:

complimentary angles = their sum is 90.

so to find the complimentary angle of 62, just subtract it from 90.

90-62 = 28

your answer is 28°

good luck with your schoolwork/homework!

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apologies in advance for incorrect answers or bad explanations.

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A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t

PtichkaEL [24]

Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
\cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c$

and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.

8 0

3 years ago

Rachel works a day job and an evening job. She works 77 hours every two weeks. The ratio of the hours she works at her day job t

Nadusha1986 [10]

Answer:

1680 dollars

Step-by-step explanation:

$7 + 4 = 11$

$77 \div 11 = 7$

$day \: 7 \times 7 = 49h$

$evening \: 7 \times 4 = 28h$

$24 \div 4 = 6$

$6 \times 3 = 18 (hourly \: pay \: of \: evening \: job)$

$24 \times 49 = 1176$

$28 \times 18 = 504$

$total \: 1176 + 504 = 1680$

4 0

3 years ago

Help pls me !!!!!!!!!!

bearhunter [10]

The students = 18/1 x 12
the students = 18 x 12
the students = 216

There are 216 students attending the school

3 0

3 years ago

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Guys pls help me!!!!!!!!

soldi70 [24.7K]

Answer:

Step-by-step explanation:

The graph is moved up by 4, that is why it says +4 in the equation

4 0

3 years ago

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X + 2y = –6<br> 3x + 8y = –20

Kay [80]

What do you want to calculate?

CALCULATE IT!
Solve
Graph
Lesson

Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
=
−
1

3 0

3 years ago