An acute angle of a right-angled triangle is twice the other acute ongle find them​

Answer:

What would best describe the universal set U?

positive integers less than 10

What would best describe set A?

prime numbers in U

What would best describe A ∪ B?

numbers in U that are prime or even

What would best describe A ⋂ B?

even prime numbers in U

Hope it helps!

The universal set is the set of all natural numbers less than or equal to 9

The sets are given as:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

Number 1 and 9 are outside the circles.

The universal set is the collection of all elements in the set.

i.e.

U = {1,2,3,4......9}

Hence, the universal set is the set of all natural numbers less than or equal to 9

We have:

A = {2, 3, 7, 5}

The elements of set A are prime numbers between 2 and 7 (inclusive)

Hence, the set A is the set of all prime numbers from 2 to 7

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A u B is all elements in both sets.

So, we have:

A u B = {2,3,4,5,6,7,8}

Hence, the set A u B is the set of all natural numbers from 2 to 8

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A n B is the common elements in both sets.

So, we have:

A n B = {2}

Hence, the set A n B is 2

Read more about Venn diagrams at:

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Answer:

96ft^3 (The third option)

Step-by-step explanation:

The volume of a prism is derived by the formula length*width*height. This is also known as the base*height. The base here is 6*4, but since it's a triangle, we divide by 2 to get 12 as the base. the height is 8, so 12*8=96 ft^3. Hope this helps!

Answer:

parami es el A por q no seria basico las demas la B C y D noloson

Answer:

t=7n

because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.

The correct equation that models the situation is t = 7n. Hence option 4 is true.

Given that;

A chef uses 7 cups of tomatoes per batch to make pasta sauce.

Let us assume that;

t represents the number of cups of tomatoes.

And, n represents the number of batches of sauce.

Hence the equation that models the situation is,

t = 7n

Therefore, option 4 is true.

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Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

Answer: y=9x+8

Step-by-step explanation:

y=mx+b

y=(slope)x+(y int)

just plug in

y=9x+8

slope^ ^y intercept

Answer:

-128, 512

Step-by-step explanation:

-8/2 = -4, 32/-8 = -4, so the ratio r = -4. 32*-4 = -128, -128*-4 = 512

Answer:

A

-by-step explanation:

i have that exact question

Answer:

k = 4

Step-by-step explanation:

Calculate the slope m using the slope formula, then equate to - 1

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, k ) and (x₂, y₂ ) = (2, 0 )

m = [tex]\frac{0-k}{2-(-2)}[/tex] = [tex]\frac{-k}{2+2}[/tex] = [tex]\frac{-k}{4}[/tex] , then

[tex]\frac{-k}{4}[/tex] = - 1 ( multiply both sides by 4 )

- k = - 4 ( multiply both sides by - 1 )

k = 4

Answer:

The top is the inches and the bottom is the cm.

Step-by-step explanation:

I might not be correct but I hope this works

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!

Answer:

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

[tex] = > h = \frac{105 \times 2}{15} [/tex]

=> h = 7 × 2

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]

You want to simplify ? or just find the value ?

Answer:

the answer is C

Step-by-step explanation:

that's what it is equivalent to

Answer:

It is not a function.

Step-by-step explanation:

{(3,5),(-2,1),(4,3),(-1,4)}

A function is a special type of relation. In a function, no two ordered pairs have the same first  component.

This relation has two 4s.

Answer:

A

Step-by-step explanation:

Got this right on edmentum

Answer:

(x-3)^2+(y-5)^2=3^2

Step-by-step explanation:

Answer:  See below.

Step-by-step explanation:

We'll assume the top and bottom lines are parallel.  That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line.  The sum of angles 1 and 2 is also 90°.  The interior angles of a triangle must add to 180°. So far we have two:  90° and 60°.  The third must therefore be 30°(angle 2).  Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other.  Angle 1 must be (90°- angle 2), which makes it 60°.  

1.  60°

2. 30°

3.  120°

4.  60°

5.  90°

Answer:

B) (-8, -6, 1)

There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')

Hope this helps :)

There you go! Hope this helps! :)

Answer:

40

Step-by-step explanation:

Let the number be y

-1/2 × y = -20

y = -20 ÷ -1/2

y = 20 × 2

y = 40

Answer:

Step-by-step explanation:

Answer:

1/3 or 0.33

Step-by-step explanation:

Hope it helps

LMK if it does and weather it is wrong or right

Answer:

80

Step-by-step explanation:

80%

Answer:

B , there are infinite solutions.

Step-by-step explanation:

If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.

Answer:

140cm^3

Step-by-step explanation:

4*5*7 = 140

Answer:

3x - y = -1

Step-by-step explanation:

Standard form of equation is Ax + By = C

y - y1 = m (x -x1)

y - 7 = 3 (x - 2)

y - 7 = 3x - 6

3x - y = -7 +6

3x - y = -1

Answer:  [tex]y-3x=1[/tex]

Step-by-step explanation:

Standard form :

Ax+By=C

We have a linear function y=kx+b ;

we also know its slope k=3 ; and that it passes through the point (2 ; 7 )

Then:

[tex]y=3x+1[/tex]

now substitute the knowledge of the coordinates of the point

[tex]3\cdot 2+b=7 \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \ }[/tex]

Then we get the function:

[tex]y=3x+1[/tex]

Standard form :

[tex]y-3x=1[/tex]

Answer:

Graphing

Step-by-step explanation:

Refer to the image below!