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3 years ago

Choose the best estimate for the division problem below.

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

Answer:

Step-by-step explanation:

68.362/7.12

Multiply the top and bottom by 1000

68362/7120

Rounding to the nearest 1000

70000/7000

JulijaS [17]3 years ago

4 0

ANSWER : B (10)

EXPLANATION :

68.362 / 7.12 = 9.601
9.601 rounds up to 10

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Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

3 years ago

Find the value of x. Round to the nearest tenth

masha68 [24]

Answer: x= 42.3

Step-by-step explanation:

Sqrt a^2 + b^2 - (2ab)(cos 100)

Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)

42.3

5 0

3 years ago

PLS help me with this question

Vinvika [58]

Answer:

80, 20 suvs in 45 vehicles, 45 is 1/4 of 180, so just multiply 20 times 4 and the answer you get is 80

4 0

3 years ago

Subtract 275000-30000

Varvara68 [4.7K]

Hi, it is 245,000 all you have to do is 70000-3000

5 0

3 years ago

Read 2 more answers

Can anyone please help me ?!?!?!?!?!??!!??!?!?!?!?!?!??!?! which fractions represent the given fractions rewritten with their LC

iren2701 [21]

Best Answer: <span>4/3x-6y, 1/5x-10y
= 4/3(x-2y) , 1/5(x-2y)
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7 0

3 years ago