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mrs_skeptik [129]
3 years ago
6

Yes no

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

I am not going for the next two days and I'm going through the process and I'm trying not really into the process to make a good

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Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t
Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}

AC = \frac{3\text{sin}(53)}{\text{sin}(49)}

AC = 3.17 miles

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}

AB = \frac{3\text{sin}(78)}{\text{sin}(49)}

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0
3 years ago
The question is the link.
d1i1m1o1n [39]

Answer + explanation

30inches =

4 - inches =

1 1/2 - inch = 3/2 - inch

3/4 x (inch) = 3inch/4

7 0
3 years ago
A running store offers a 15% discount on
Rudik [331]

Answer:

The cost of each pair of shoes before the discount=$67.65

Step-by-step explanation:

Step 1

Use the expression below to determine original cost of the 2 pairs of shoes as follows;

A=O-R

where;

A=total bill after discount

O=original cost of 2 pairs of shoe

R=discount amount

In our case;

A=$110.50

O=unknown=x

R=15% of O=(15/100)×x=0.15 x

replacing;

115=x-0.15 x

115=0.85 x

x=115/0.85

x=135.294

Original cost of the 2 pairs of shoes=$135.294

Original cost of a pair of shoes=135.294/2=$67.65

The cost of each pair of shoes before the discount=$67.65

8 0
3 years ago
Solve for x. 8^2x −3 = ( 1 16 )^x − 2 plz help
azamat

Answer:

\large\boxed{x=\dfrac{17}{10}=1.7}

Step-by-step explanation:

8=2^3\\\\\dfrac{1}{16}=\dfrac{1}{2^4}=2^{-4}\qquad\text{used}\ a^{-n}=\dfrac{1}{a^n}\\\\8^{2x-3}=\left(\dfrac{1}{16}\right)^{x-2}\\\\(2^3)^{2x-3}=(2^{-4})^{x-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(2x-3)}=2^{-4(x-2)}\iff3(2x-3)=-4(x-2)\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-3)=(-4)(x)+(-4)(-2)\\\\6x-9=-4x+8\qquad\text{add 9 to both sides}\\\\6x=-4x+17\qquad\text{add 4x to both sides}\\\\10x=17\qquad\text{divide both sides by 10}\\\\x=1.7

6 0
3 years ago
What is the distance between (-3,4) and (8,4) on the coordinate plane
soldi70 [24.7K]

Answer:

One will be on the negative side while the other one is positive

Step-by-step explanation:

3 0
3 years ago
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