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Tamiku [17]
3 years ago
6

A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?

Mathematics
2 answers:
Strike441 [17]3 years ago
4 0

Answer:

30

Step-by-step explanation:

We can use the Pythagorean Theoreom for this.

Since we are trying to find the hypotenuse, we know that the hypotenuse is c^2

So, here we are:

a^2+b^2=c^2\\a^2=24\\b^2=18\\18^2+24^2=c^2\\324+576=c^2\\900=c^2\\

Then, we find the square root of 900 which is: \sqrt{900} = 30\\\\

There you go! We have 30 as our answer.

shusha [124]3 years ago
3 0
I am sure that the answer is 30
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Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

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4 0
2 years ago
Find the simplify form of the expression. Give your answer in scientific notation:
coldgirl [10]
You multiply the 2 values together to get 1.5*10^12
3 0
3 years ago
A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if increasing the
sdas [7]

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

3 0
3 years ago
Read 2 more answers
Identify the slope and y-intercept of the line for each equation.
Katyanochek1 [597]

Answer:

7. Slope = -5

Y-intercept = -3/4

8. Slope = 1/4

Y-intercept = 5

Step-by-step explanation:

y = mx + b

Slope = m

Y-intercept = b

3 0
3 years ago
5 chocolate bars cost $5.75
DerKrebs [107]

Answer:

The answer is $1.85

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • The cost of 5 chocolate bars = $5.75
  • The cost of 2 chocolate bars and 3 packets of sweets = $7.85
<h3><u>To </u><u>Find</u>;</h3>
  • The cost of one packet of sweets.

Now, we know that the cost of 5 chocolate bars are $5.75.

For 1 chocolate bar

5.75 ÷ 5 = $1.15

Here, we get the price of 1 chocolate bar

So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.

2 × chocolate bar = 2 × (1.15) = $2.3

Now, we want to find only the cost of one packet of sweets.

So,

7.85 – 2.3 = $5.55

3 packets of sweets cost $5.55

For 1 packets of sweets

5.55 ÷ 3 = $1.85

Thus, The cost of one packet of sweets = $1.85

7 0
2 years ago
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