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LenKa [72]
3 years ago
10

PLEASE HELP.

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer:3/2

Step-by-step explanation:

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The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter
masha68 [24]

Answer:

<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

P=L+S+M

Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}

Using a calculator, the perimeter is 20 units centimeters.

7 0
3 years ago
How many permutations exist of the letters a, b, c, d taken three at a time? <br> 24 <br> 12<br> 4
Travka [436]
The correct answer is 24

You have to apply factorials here and formulas. You have 4 letters which means that your n=4, and you have 3 objects at a time which, means that you have 4 different groups of combinations with 6 permutations in each due to the 3! factorial. 6 x 4 is 24.
4 0
3 years ago
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Find the LCM of 7 and 13
Korolek [52]

LCM stands for Least Common Multiple.

The LCM of two numbers is the lowest number that can divide into the two original numbers.

For most numbers, you can find the LCM by simply multiplying the two numbers:

7 \cdot 13 = \boxed{91}

The LCM of 7 and 13 will be 91.

8 0
3 years ago
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Kevin has a checking account. This month he deposits three paychecks. Each paycheck is for $225.75. He also makes two payments f
user100 [1]

Answer:

402.25

Step-by-step explanation:

8 0
3 years ago
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Which of the following polynomial functions is graphed below?
Olegator [25]

Answer: B. f(x)=(x+4)(x-2)^2(x+3)

Step-by-step explanation:

in the graph there's two negative x value and one positive x value

so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)

the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))

6 0
3 years ago
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