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3 years ago

This is a quiz on special right triangles. please help me i cannot fail this. i will mark brainliest

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

Answer:

x=4

Step-by-step explanation:

Consider ΔKLJ:

sinθ=opposite/hypotenuse

sin30=LJ/8√2

LJ=0.5*8√2=4√2

Consider ΔMLJ:

sinθ=opp/hyp

sin45=x/4√2

1/√2=x/4√2

4√2/√2=x

x=4

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Question 3 (1 point)

Sindrei [870]

Answer:

Step-by-step explanation:

(3+6+3)•9-(3•2)-(3•2)

12•9-6-6

=108-12

=96

3 0

3 years ago

HELP!!!In the expression 100 a/b, if a is greater than b, which statements are true? b ≠ 0. Select all that apply.

MAXImum [283]

Answer:

$\large\boxed{\text{The expression is equal to}\ \sqrt[b]{100^a}}\\\boxed{\text{The expression is greater than 100}}$

Step-by-step explanation:

$a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\text{True statement:}\\\\100^\frac{a}{b}=\sqrt[b]{100^a}\\\\a>b\to\dfrac{a}{b}>1\to\dfrac{a}{b}=1\dfrac{a-b}{b}\\\\100^\frac{a}{b}=100^{1\frac{a-b}{b}}=100^{1+\frac{a-b}{b}}=100^1\cdot100^\frac{a-b}{b}=100\sqrt[b]{100^{a-b}}\\\\a>b\to a-b>0\to100^{a-b}>1\\\\\text{Therefore}\ 100\sqrt[b]{100^{a-b}}>100$

4 0

3 years ago

A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If

DIA [1.3K]

Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands = $35\% \times 80 =\frac{35}{100} \times 80 =28$

Blue Strands = 25%

No. of blue strands = $25\% \times 80 =\frac{25}{100} \times 80 =20$

Red Strands = 40%

No. of Red strands = $40\% \times 80 =\frac{40}{100} \times 80 =32$

Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

3 0

3 years ago

Read 2 more answers

Whats another way to write 300 70 5/10 8/100?

Triss [41]

I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4.

3 0

3 years ago

Read 2 more answers

Solve for x.

konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

$\frac{x}{15}=\:\frac{12}{20}$