solve the triangle. round lengths to the nearest tenth and angle measures to the nearest degree a=7 b=7 c=5

Answers

Answer 1

Answer: Hello,

a,b,c are the sides.

1) first idea
Theorem of Al' Kashi (genralized pythagorean theorem) will help us

a²=b²+c²-2bc cosA ==>49=49+25-2*7*5*cos A
==>cos A=25/70=5/14 ==>
A=69,075167572361683699967605141899 °≈69°

b²=a²+c²-2ac cos B ==> 49=49+25-2*7*5 * cos B==>cos B=5/14
B=A (triangle is isocele ==> a second method)

C=180-2*69=42°

II)
The triangle isocele is formed with 2 right triangles.
(base=5/2 hypotenuse=7)

cos B=(5/2)/7=5/14 (the same) ==>B=69°
A=B=69°
C=42°

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A right rectangular prism has a length of 5 cm, a width of 8 cm, and a height of 4 cm.What is the volume of the prism?

Enter your answer in the box.
I believe it is 160.

Answers

The formula for volume of a rectangular prism is length x height x width. Plug in the given information.

5 * 4 * 8

Now multiply:

5 * 4 = 20
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Your answer of 160 was correct :) Good job

Anita and Maria went to the candy store. Maria bought 5 pieces of fudge and 3 pieces ofbubble gum for a total of $5.70. Anita bought 2 pieces of fudge and 10 pieces of bubblegum for a total of $3.60. Determine the cost of 1 piece of bubble gum.

Answers

! piece of Bubblegum costs $0.15 One piece of Fudge costs $1.05

Final answer:

The price of one piece of bubble gum is $0.15. This can be determined by setting up algebraic equations based on the given information, allowing the fudge and bubble gum prices to be calculated.

Explanation:

The subject of this question is algebra and it uses a system of simultaneous equations to find the price of each piece of candy.

Let's say 'f' is the cost of fudge and 'g' is the cost of gum.
We can write two equations based on the information given: 5f + 3g = 5.70 and 2f + 10g = 3.60.
To find the cost of the bubble gum first, we can eliminate 'f' by multiplying the first equation by 2 and the second one by 5 which will give us: 10f + 6g = 11.40 and 10f + 50g = 18.00
Then we subtract the second equation from the first equation. This gives us: 44g = 6.60.
Finally, we divide by 44 to get the price of gum, 'g' = 6.60 / 44 = $0.15.

Learn more about Price of bubble gum here:

brainly.com/question/29136864

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How many times greater is 700,000 than 70,000

Answers

700,000 is x of 70,000
700,000=x times 70,000
divide both sides by 70,000
10=x

answer is 10 times

10 times greater, if u multiply 70,000 by 10, you 'insert a zero' at the end, making it 700,000, 10 moves the decimal left and right one, just depends on if u multiply or divide

Keiko spent a total of $60
at the grocery store. Of this amount, she spent
$27
on fruit. What percentage of the total did she spend on fruit?

Answers

she spent 27 out of 60
27/60 = 0.45...multiply by 100 to get the percent 0.45(100) = 45%

a college graduate expects to earn a salary of 50000 during the first year after graduation and recieive a 3% raise every year for 10 years

Answers

50,000(1.03)^10=Y is the equation you would use to solve this, and this is how to solve it:

50,000(1.03)^10
50,000(1.34)
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so his salary after 10 years will be $67,000.00

What is the value of x in the equation −x = 6 − 3x + 8?−14
−7
14
7

Answers

Answer:

x = 7

Step-by-step explanation:

Add 3x to both sides of the equation.

2x = 6+8

Divide both sides by 2.

x = 7

Answer:

Step-by-step explanation:

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