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2 years ago

Seventh grade > L.8 Solve percent equations: word problems JS6

Mathematics

1 answer:

ladessa [460]2 years ago

4 0

30% diet and 10 regular not shoreee

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You need to find the distance across a river, so you make a triangle. BC is 661 feet, m∠B=103.2° and m∠C=14.4°. Find AB.

kati45 [8]

Answer:

AB = 185.77 feet

Step-by-step explanation:

From the figure attached, in ΔABC,

m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet

We have to find the measure of side AB.

Since ∠A + ∠B + ∠C = 180°

∠A + 103.2 + 14.4 = 180

∠A + 117.6 = 180

∠A = 180 - 117.6

= 62.4°

By applying sine rule in the given triangle ABC

$\frac{AB}{sinC}=\frac{BC}{sinA}$

$\frac{AB}{sin14.4}=\frac{661}{sin62.4}$

$\frac{AB}{0.249}=\frac{661}{0.886}$

AB = $\frac{0.249\times661}{0.886}$

= 185.77 feet

Therefore, AB = 185.77 feet will be the answer.

4 0

2 years ago

Solve the equation. -2/3 (x + 3/5) = 1/2 x=

Rom4ik [11]

−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20

6 0

2 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes were 6 to 5. If there were

Natasha_Volkova [10]

3020

Step-by-step explanation:

ans.

Total ratio of votes=6+5

=11

1 ratio of votes=6644÷11

=604

Ratio of no votes=5

Number of no votes=Ratio of no votes×1 ratio of no votes

=604×5

3020

8 0

3 years ago

bobbie wrote y+6=15. than she wrote (y+6) divided by 3=15. Explain why the second equation is not equivalent to the first. what

irina1246 [14]

If y+6=15, then y=9. (9+6)divided by 3 would be 5, not 15.

4 0

3 years ago

In 2009, the American Time Use Survey found that the average American spends 2.8 hours a day watching TV. Suppose the standard d

Anit [1.1K]

Answer:

4.72 hours/day

Step-by-step explanation:

Mean time spent watching TV (μ) = 2.8 hours a day

Standard deviation (σ) = 1.5 hours a day

The 90th percentile (upper 10%) of a normal distribution has an equivalent z-score of roughly z = 1.282. The minimum time spent watching TV, X, at the 90th percentile is:

$z=\frac{X-\mu}{\sigma} \\1.282=\frac{X-2.8}{1.5}\\ X=4.72\ hours/day$

On a typical day, you must watch at least 4.72 hours of TV to be in the upper 10%.

8 0

2 years ago