A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the real distance between these cities in miles

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

Answer:

I think it's 50

Step-by-step explanation:

48

49

50

51

52

50 8s inbetween the two

Answer:

1/2 chance

Step-by-step explanation:

there are 3 even numbers and three odd numbers, and 3 is half of 6

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

Answer:

Step-by-step explanation:

$77

Answer:

4 x c = ?

Step-by-step explanation:

I don't get it

Answer:

here is your answer

x²-9

Answer:

Because 5 + 9 = 9 + 5

Step-by-step explanation:

Answer:

Choice a is the correct answer

Step-by-step explanation:

Equalvalent expressions are two expressions that result with the same answer.

pls mark me brainiest

Answer:

29.67

Step-by-step explanation:

Here's the explanation if you need it,

First, miltiply 9% by 23 thats your tax

next, multiply 20% and 23

Then take all the values you got and add them all togeather hope that helps!

Maggie paid a total amount of $52.67.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have,

Cost of lunch = $23

Sales tax= 9%

Tip= 20%

So, amount after sales tax

= 23 + 9% of 23

= $ 25.07

and, the amount after tip

=  23+ 4.6

= $27.6

Thus, she paid a total of

= 27.6 + 25.07

= $52.67

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ2

Answer:

Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.

Answer:

336 ft ²

Step-by-step explanation:

Find the area of the two triangles

In this case, both triangles are the same, so we can modify the formula for area of triangle

In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height

Triangles = 6 x 8 = 48 ft²

top rectangle = 10x12 = 120 ft²

bottom rectangle = 8x12 = 96 ft²

back rectangle = 6x12 = 72 ft²

Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4 units to the right

Step-by-step explanation:

the bigger units subtracted by the smaller units and the direction it is going

Answer:

I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

2) x < 3

Step-by-step explanation:

The graph has an open circle (representing the signs < >) and its on the point "3". Since the line is going towards the left, it means x is less than 3. Therefore, the answer is 2) x < 3

Answer:

62

Step-by-step explanation:

Khan Academy. I got this correct, so trust me :)

The measurement of the angle A for the considered triangle is found being of 62° approximately.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For the considered triangle, we can use sine rule.

In triangle ABC, we're given that:

The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:

[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]

But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°

Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.

Learn more about law of sines here:
https://brainly.com/question/17289163

Answer:

the correct answer is D

Step-by-step explanation:

because the -9 5/8 is in absolute value marks.

Answer:

Step-by-step explanation:

7x + 3= 24

7x= 24-3

7x= 21

x= 21/7

x= 3

Then we have that

5-4x

5-4(3)

5-12

Answer= -7

Answer:

38.2

Step-by-step explanation:

d^2=1458

d=38.18

Answer:v=9

Step-by-step explanation:

6v-4=50

+4 +4

6v=54

divide both sides by 6

v=9

:))

Answer: 0.5

Step-by-step explanation:

You need to use

Brackets

Indices

Division

Multiplication

Addition

Subtraction

7 + 5 =12

12 - 16 = -4

-4 / 8 = -0.5

-0.5 + 3 = 2.5

2.5 - 2 = 0.5

Answer: 4

Step-by-step explanation: 7+5=12

12×2=24

24- (4×4)= 24-16=8

8÷8=1

1+3=4

Step-by-step explanation:

a=4

b=6

c=2

ab=?

now

ab=a*b

=4*6

=24

Answer:

ab is 24

Step-by-step explanation:

a=4, b=6                                                                                                                   ab is a times b                                                                                                          4 times 6 equals 24                                                                                                    4*6=24                                                                                                                     your answer will be 24

Answer:

E

Step-by-step explanation:

Answer:

[tex]E=2.15\times 10^{-4}\ J[/tex]

Step-by-step explanation:

Given that,

The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]

Voltage of the power supply, V = 14 V

We need to find the energy stored in the capacitor.

The formula for the stored energy in the capacitor is given by :

[tex]E=\dfrac{1}{2}CV^2[/tex]

Put all the values,

[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]

So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.

Answer:

[tex] {6}^{2} \times \pi \times 15 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {6}^{3} = 19 \times {6}^{2} \times 3.14 = 2147.76[/tex]

Answer:

Step-by-step explanation:

Hemisphere Formula: ( 2 / 3 ) πR = V

Substitution: ( 2 / 3 ) 3.14 * 6 = 12.56

Cylinder Formula: πR^2 * H = V

Substitution: 3.14 * 6^2 * 15 = 1695.6

1695.6 + 12.56 = 1708.16

Please give me Brainliest if I'm correct ! :)

Answer:

g(x)=(x+5)^2

Step-by-step explanation:

the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive

g(x)=(x+5)^2

(x+5)^2=0

x+5=0

x=0-5

x=-5

Good Studies!!!

Answer:

Can you add if you can add you have to add up every thing and the answer will be

Answer:

25 in^2

Step-by-step explanation:

So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.

With this, these numbers can both be plugged in to get the answer:

(10 * 5) / 2

50/2

25 in^2

It is squared after the units since it is the area.

Answer:

- 7x + 3

Step-by-step explanation:

2x - 9x + 13 - 10

- 7x + 13 - 10

- 7x + 3