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Semenov [28]
3 years ago
11

The trucker completed the 840 kilometer haul in 10 hours and 30 minutes. What was the trucker's average speed in kilometers per

hour? Show your work.
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

1/ 1/5h=3/2h

848 : 3/2=560

560 km per hour

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on the beach boardwalk there are 20 different places to get food. twenty percenct of them are ice cream shops. how many ice crea
Rom4ik [11]

Answer:

4 of the shops are ice cream shops.

Step-by-step explanation:

If you take 20 and multiply it by .20 (because when multiplying by a percent we move the decimal over twice) you will get that 4 of the shops are ice cream shops.

(.20) * (20) = 4

<em>Hope this helps!!</em>

<em>- Kay :)</em>

8 0
3 years ago
Right △ABC has its right angle at C, BC=4 , and AC=8 .
PolarNik [594]

Answer:

Part A) sin(A)=\frac{\sqrt{5}}{5}

Part B) tan(B)=2

Part C) sec(A)=\frac{\sqrt{5}}{2}

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side AB (hypotenuse of the right triangle)

Applying the Pythagorean Theorem

AB^2=BC^2+AC^2

substitute the given values

AB^2=4^2+8^2

AB^2=80

AB=\sqrt{80}\ units

simplify

AB=4\sqrt{5}\ units

step 2

Find sin(A)

we know that

In the right triangle ABC

sin(A)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(A)=\frac{4}{4\sqrt{5}}=\frac{\sqrt{5}}{5}

step 3

Find tan(B)

we know that

tan(B)=\frac{AC}{BC} ----> by TOA (opposite side divided by adjacent side)

substitute the values

tan(B)=\frac{8}{4}=2

step 4

Find sec(A)

we know that

sec(A)=\frac{1}{cos(A)}

cos(A)=\frac{AC}{AB} ----> by CAH

so

sec(A)=\frac{AB}{AC}

substitute the values

sec(A)=\frac{4\sqrt{5}}{8}

simplify

sec(A)=\frac{\sqrt{5}}{2}

3 0
4 years ago
A lake measures 600 ft wide. A lodge is on one shore. From Rob’s point on the opposite shore, the angle of elevation to the top
GalinKa [24]
The lodge is 154.15 feet tall.
6 0
4 years ago
I'LL MARK BRAINLIEST !!!
V125BC [204]

Answer:

it is 5 if im not mistaken

5 0
3 years ago
Determine the IQR for this set of data. 12, 13, 14, 15, 17, 18, 19, 19, 22, 23<br> 14 <br> 17.5
VladimirAG [237]

Answer:5

Step-by-step explanation:

4 0
3 years ago
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