MATHEMATICS HIGH SCHOOL

Trapezoid PSTK is isosceles. SK = 20, SH = 12, If ST = 1 4 HK, find HK, APTSK, m∠P, and PS. Find HK, Area of pstk, HK and PS

Answers

Answer 1

Answer:

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

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A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.

Answers

$a,b,c-\ sides\ of\ triangle\n\na+b+c=18\ inches\n\na=8inch\n\n(b)/(c)=(2)/(3)\n\n3b=2c\ \ --->b=(2c)/(3)\n\n8+(2c)/(3)+c=18\ |*3\n\n24+2c+3c=54\n\n5c=54-24\n\n5c=30\n\nc=(30)/(5)=6\n\nLength\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.$

0.001 in Standard form

Answers

1*10- 3 is the standard form of 0.001

A rectangle has a height of 7x^2and a width of 3x^2+ 8x + 7.Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
3x^2
+
8x
+
7
7x^2
Area =
What is the area

Answers

Final answer:

The area of the rectangle is found by multiplying the length and the width together, giving the polynomial 21x^4 + 56x^3 + 49x^2.

Explanation:

The area of a rectangle can be found by multiplying the length by the height. In this case, the height of the rectangle is 7x^2 and the width of the rectangle is 3x^2 + 8x + 7

So, we multiply these two expressions together to get the area:

Area = 7x^2 * (3x^2 + 8x + 7) = 21x^4 + 56x^3 + 49x^2.

This is a polynomial and it is in standard form, as the terms are ordered from highest degree to lowest degree.

Learn more about Polynomial Area of Rectangle here:

brainly.com/question/34713721

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Answer:

Step-by-step explanation:

What is the value of j in the equation √ j √ j 14 = 3√ j 10?

Answers

Answer:

the value of j in the given expression is: 16

Step-by-step explanation:

we are given the expression as:

$√(j)+√(j)+14=3√(j)+10$

$2√(j)+14=3√(j)+10\n \n3√(j)-2√(j)=14-10\n\n√(j)=4$

so on squaring both side we have $j=16$ .

Hence the value of j is 16.

The answer is 16.

The equation is:
√j + √j + 14 = 3√j + 10
2√j + 14 = 3√j + 10
14 - 10 = 3√j - 2√1
4 = √j

Now, we will square both sides of the equation:
4² = (√j)²
16 = j.

Therefore, j is 16.

Earlier this year in a drug bust in Shanghi, China, police seized 2.4 tons of methamphetamines. If a typical dosage is 50mg, how many doses is that bust, which the Chinese police prevented from being sold to the public?

Answers

2.4 tons=2.4 tons*(1,000 Kg / 1ton)*(1,000,000 mg / 1 kg)=
=2,400,000,000 mg=2.4 x 10⁹ mg

Now, we solve this problem by the rule of three.

50 mg ---------------------1dose
2.4x10⁹ mg---------------- x

x=(2.4 x 10⁹ mg * 1 dose) / 50 mg=48,000,000 doses.

Answer: 48,000,000 doses

If P + 77 = 101, then P equals

Answers

p+77=101
subtract 77 from both sides
p+77-77=101-77
p+0=24
p=24

tada

P+77=101P=101-77P=24

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Mrs. Thomas bought 2/4 yard of one fabric and 3/4 yard of a different fabric. How many total yards of fabric did she buy?

Question 11Given B is between A and C, find the value of x if AB = 46, BC = 12x, and AC = 142.a38b1222Od8