solve the equation -30p-2=58 for p.

Law of cosine helps us to know the third side of a triangle. The length of the third side of the ΔHIJ, h is 6.698 inches.

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

As it is given that the length of the first two sides of the triangle is i=6.6inches and j=6.4 inches, while the measure of the ∠H=62°. Therefore,

the length of the third side with the help of cosine rule can be written as,

[tex]h =\sqrt{i^2 + j^2 -2ij\cdot Cos(\angle H)}\\\\h =\sqrt{(6.6)^2 + (6.4)^2 -(2 \times 6.6 \times 6.4)\cdot Cos(62^o)}\\\\h = 6.6976 \approx 6.698[/tex]

Hence, the length of the third side of the ΔHIJ, h is 6.698 inches.

Learn more about the Law of Cosine:

https://brainly.com/question/17289163

Answer:

A = $150

B = $130

C = $140

Step-by-step explanation:

Let the amount received by a be $x

b receives $20 less than a;

we have that;

b = x - 20

c receives half of Sum A and B

c = (x + x-20)/2

c = (2x-20)/2

c = x - 10

Add all and it gives 420

x - 10 + x -20 + x = 420

3x -30 = 420

3x = 420 + 30

3x = 450

x = 450/3

x =$150

a = 150

b = x - 20; 150 - 20 = 130

c = x-10

c = 150-10

c = $140

Answer:

2 books

Step-by-step explanation:

If 7 books= 1 box

Then 30 books= 30÷7= 4 boxes with a remainder of 2 books

Therefore books left over= 2 books

7 is 1/10 of 70. You can figure this out by multiplying 7 by 10

Answer:

The standard cubic foot

                 &

The standard cubic meter

Step-by-step explanation:

Answer:

1   7/15

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

Find the third angle in the triangle and using the rule that all supplementarly angles are 180 degrees, subtract the third angle from 180.

180-87-54=39, 39 is the third angle of the triangle

180-39=141 degrees, x= 141

Answer:

Because in both cases you take the height multiplied with the base.

Answer:

i think its; there  all inequalities

Step-by-step explanation:

Answer:

The diameter of horse hair is twice as thick as the diameter of the human hair.  

Step-by-step explanation:

The diameter of a human hair = [tex]6.5\times 10^{-4}\ \inches[/tex]

The diameter of a horse hair = [tex]1.3\times 10^{-3}\ \inches[/tex]

Dividing the diameter of a horse hair to the diameter of a human hair as follows :

[tex]\dfrac{\text{Diameter of human hair}}{\text{Diameter of horse hair}}=\dfrac{6.5\times 10^{-4}}{1.3\times 10^{-3}}\\\\\dfrac{\text{Diameter of human hair}}{\text{Diameter of horse hair}}=\dfrac{1}{2}\\\\\text{Diameter of horse hair}=2\times \text{Diameter of human hair}[/tex]

So, the diameter of horse hair is twice as thick as the diameter of the human hair.  

Answer:

The horse hair is 2 times as thick as the human hair.

Answer:

9+(-14)=-5

Step-by-step explanation:

9+(-14)

9-14

=-5

Answer:

-5

Step-by-step explanation:

the answer is negative 5

Answer:

2

Step-by-step explanation:

3/21=x/14

X=2

Answer is 2

Answer:

The proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly =

Cost(c)= 1/8($15.68 × 6)

The cost (c) if you buy 6 jars of jellyfish jelly is $11.76

Step-by-step explanation:

There are 8 jars of jellyfish jelly for $15.68. Write a proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly.

The proportion is given as:

Number of jars of Jellyfish/Cost of the Number of jar of Jellyfish

Hence:

8/$15.68 = 6/c

We Cross Multiply

8 × c = $15.68 × 6

c = $15.68 × 6/8

c = $11.76

Therefore,

The proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly =

Cost(c) = 1/8($15.68 × 6)

The cost (c) if you buy 6 jars of jellyfish jelly is $11.76

Answer: n^3 and a^2

Step-by-step explanation:

Answer:

n^3 and a^2

Step-by-step explanation:

Answer:

y = 3/2 x + 7

Step-by-step explanation:

Line intercept form =

Y = mx + b

m is the slope (rise over run) and b is the y intercept.

So what you want to first is get y by itself.

9x-6y = -42

-6y = -42 - 9x

y = 9/6 x + 7

y = 3/2 x + 7

Answer:

If you are solving for x, x =

2 /3  y+  (−14/3)

If you are solving for y, y=

3/2x+7

Step-by-step explanation:

Answer:

A. (x, y) -> (0.2x, 0.2y)

Step-by-step explanation:

I'll test this out with just point S if that's fine.

Point S's coordinates are (5, -5), as seen on the coordinate plane.

However,  Point S' has coordinates of (1, -1).

Divide 1 by 5 to get 1/5. You can also do -1/-5 to also get 1/5 (Remember, dividing two negatives gets you a positive.).

So you can conclude that the dilation has the x and y coordinates shrinking to 1/5 of the original. Both coordinates shrink at the same rate, so B and C are out. The figure is NOT getting bigger so D is also incorrect. This leaves A ((x, y) -> (0.2x, 0.2y)) as our answer.

Answer:

A

Step-by-step explanation:

Answer:

1+1=2

You  have 1 orange and then get 1 other orange. How many oranges do you have now? 2 oranges.

Complete question :

Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value.

Answer:

100 g bag

Step-by-step explanation:

For the 120g bag:

Price per gram :

Price / Numbe of gram

1.49 / 120 = 0.0124 gram per bag

For the 100 g bag :

0.89 / 100

= $0.0089per gram

Since $0.0089 is < $0.0124

Then the 100g bag is of better value

Answer:

D. 64 oz.

Step-by-step explanation:

There are 16 ounces in a pound. So multiply 4 x 16 to get 64 ounces.

Hope it helps!

Answer:

64

Step-by-step explanation:

well. there’s 16 oz in a pound. so if there’s 4 pounds then take 16 x 4 which is 64

she bought 64 oz of potatoes

Answer:

1/2 of the class

give brainliest if it helps

Answer:

The Correct Answer Is D

Step-by-step explanation:

I hope it Helps!

Answer:

bilmiyorum, bulamadım.

Answer:

Step-by-step explanation:

a. f(x)=3x+10

b. $112

Answer:

the area below the line is shaded

Step-by-step explanation:

Answer:

X=12

y=34

z=45

m=33

n=27

z=27

Step-by-step explanation:

there u go

Answer:

23) x -3 = 9

x=9+3=12

24) y-11=23

y=23+11=34

25) z-8=37

z=37+8=45

26) m-16=17

m=17+16=33

27) n-9=18

n=18+9=27

28) z-14=13

z=13+14=27

Answer:??

Step-by-step explanation:

¿A qué es igual la ecuación? x no se puede resolver sin un signo igual al final. por favor responda para que pueda ayudar! :D

Answer:

x= -1/2

Step-by-step explanation:

2x+1=0

-1 -1

2x= -1

➗ por 2

x= -1/2