When asked to draw a triangle with two 45 angles and a side length of 8 cm, Diego drew this triangle.

Do you agree with Diego’s answer?

Is there a different triangle Diego could have drawn that would answer the question? Explain or show your reasoning

Answer:

31.42cm

Step-by-step explanation:

Answer:

The length of the rope = 8.94 meters

Step-by-step explanation:

The flagpole is 8 meters high

The hook is 4 meters from its base and the hook is in the ground

The flagpole and the ground ⊥ to each other

By using Pythagoras theorem:

The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters

Answer:

28 students

Step-by-step explanation:

The easiest way to solve this would be to set up an equation.

We can start by naming x the number of students in Reggie's class.

Therefore, our equation would be:

0.75x=21

We can get this by knowing 75% of the students brought their lunches, and there were 21 students that did.

75% is equivalent to 75/100 which is 0.75.

Next, we can solve the equation.

0.75x=21

To do this, we have to isolate x.

We need to reverse the multiplication with division.

We can do this by dividing both sides by 0.75 (What you do to one side you must do to the other)

0.75x/0.75=21/0.75

x=28

This means that there are 28 students in the class.

Step-by-step explanation:

In Reggie's class, 75% of the students brought their lunches on

Monday. If 21 students brought their lunches, how many students

are in the class in all?

28 students

Answer:

A

Step-by-step explanation:

Given expression:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Using rule [tex]\sqrt{ab} =\sqrt{a} \cdot \sqrt{b}[/tex]

[tex]=\sqrt[4]{768}\cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Prime factorization of 768:

[tex]=\sqrt[4]{2^8\cdot3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Using rule [tex]a^{b+c}=a^ba^c[/tex] :

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^{4+1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4y^1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4} \cdot\sqrt[4]{y}[/tex]

Using rule [tex]\sqrt[a]{b^c} =b^{\frac{c}{a}}[/tex] :

[tex]=2^{\frac84}} \cdot \sqrt[4]{3} \cdot x^{\frac84}\cdot y^{\frac44} \cdot \sqrt[4]{y}[/tex]

[tex]=2^2 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

[tex]=4 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

Gather like terms:

[tex]=4 \cdot x^2\cdot y\cdot \sqrt[4]{3} \cdot \sqrt[4]{y}[/tex]

[tex]=4x^2y \sqrt[4]{3y}[/tex]

Answer:

Two anglebare Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Answer:

7 - 4a = 11

Hope this helps!

Answer:

4%=$0.21

Step-by-step explanation:

5.20+(5.20/100x4)=5.41

5.20+(0.052x4)=5.41

5.20+0.208=5.41

5.41=5.41

So, 4%=$0.21

Answer:

0

Step-by-step explanation:

Answer:

A≈309.02

Step-by-step explanation:

A=2(1+square root of 2)a^2

hi                                                             bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

y = 1/13 x + 84/13 or 13y = x + 84

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (7 - 6) / [(7 - (-6)]

= 1 / 13

Solve for b. Use (-6, 6)

y = mx + b

6 = 1/13 (-6) + b

6 = -6/13 + b

6 + 6/13 = b

84/13 = b

Substitute the m and b:

y = mx + b

y = 1/13 x + 84/13 or 13y = x + 84

Answer:

use cymath it helps with math I use it all the time

Answer:  [tex]2x^{3} - x^{2} - 7x + 2[/tex]

Step-by-step explanation:

See the attached image.

Answer:

x = 16

Step-by-step explanation:

Add 4 to both sides, in order to isolate x:

x - 4 = 12

x = 16

So, x = 16

Answer: 1.25

Step-by-step explanation:

Answer:

I think that you are wrong with that question

Answer:

a = 50° , b = 60° , c = 70°

Step-by-step explanation:

a and 130° are adjacent angles on a straight line and sum to 180° , then

a = 180° - 130° = 50°

b and 60° are vertically opposite angles and are congruent , so

b = 60°

the sum of the 3 angles in a triangle = 180° , that is

a + b + c = 180°

50° + 60° + c = 180°

110° + c = 180° ( subtract 110° from both sides )

c = 70°

f(-4) = 2

since the line passes through the point (- 4 ; 2)

point ( x ; f(x) )

Answer:

$79.17

Step-by-step explanation:

91.00 x 0.13= 11.83 (the discount)

91.00-11.83= $79.17 (the sale price)

Answer: $71.17

Step-by-step explanation: If 91 is the original price and the discount rate is 13%, 13% of 91 is being taken off and 87% is remaining, to find the 87% that's remaining multiply the original (91) by the the remaining percent(87%).91 x .87=71.17

87%-->.87

87x.01=.87

To find the decimal form of a percentage multiply the percentage by .01.

Answer:

8 because if you add 1 ×8 you will get the answer 8

Opposite interior angles are equal, so

4x - 10 = 2x + 20

2x - 10 = 20

2x = 30

x = 15

Answer:

4x-10=2x+20(being alternate angle)

or,4x-2x=20+10

or,2x=30

or,x=30/2

or,x=15

again,

4x-10 (putting the value of x)

=4×15-10

=60+10

=70

2x+20 (putting the value of x)

=2×15+20

=30+20

=50

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solved !!!

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Answer:

volume of a rectangular prism = length * breadth* width = 7*3*2= 42

Answer: A

Step-by-step explanation:

Real numbers include negative numbers, and |3x+2| is always nonnegative.

Answer:

4

Step-by-step explanation:

40 - (18÷3)²

40 - (6)²

40 - 36

4

i think this is right

Answer:

(b) Jo answered 4 which is the right answer.

Step-by-step explanation:

First, you have to remember PEMDAS which is parentheses, exponents, multiplication, division, addition, and subtraction.

In this case, you need to do 18/3 first because that is in the parentheses which always goes first.

Your answer should be 6 and you should write the question like this:
40-(6)^2

Now, you need to do the exponent next which is 6x6 not 6x2.

Remember, exponents, are the base which is the number 6 multiplied by itself to that many times so in this case, our base is 6 and the exponent says we need to have 6 multiplied to itself 2 times. 6x6

We like to say 6 to the power of 2 is 36.

So now you need to write the simplified equation to this:

40-36=n

Our n variable is a placeholder for our answer.

Now it's basic subtraction which is 40-36 = 4

Therefore, Jo had the right answer.

Answer:

3,9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The width is 75.

Step-by-step explanation:

First you divide 324 by 2, because the formula is: 2(l + w)

324 ÷ 2 = 162.

Then I would subtract 162 by 87 because of the formula. (To find out width)

162 - 87 = 75

The width is 75.

You can double check by in-putting them into the above formula.

2(75 + 87) = 324

There are 10 sides that are equal to [tex]2a^{3} +a^{2} - a[/tex], and 2 sides equqal to [tex]4a^{4}[/tex]

Perimeter : [tex]20a^{3} + 10a^{2} - 10a + 8a^{4}[/tex]

Hello!

10 (2a³ +a² -a) + 2 ( 4a^4)

= 20a³ + 10a² -10a + 8a^4

= 8a^4 +20a³ -10a² -10a

Answer:

Try a,d,b,a

Step-by-step explanation:

Answer:

m = -6

Step-by-step explanation:

Plug in the given terms.

m = (1 - 4)(2 - 0)

m = (-3)(2)

m = -6

Answer:

268 increased by 75% of its value = 469

Step-by-step explanation:

hope this helps :))

The number when 268 is increased by 75%​ will be 469.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let 'n' be the increased number. Then the equation is given as,

75% = [(n - 268) / 268] x 100

Simplify the equation, then we have

0.75 = (n - 268) / 268

n - 268 = 201

n = 201 + 268

n = 469

The number when 268 is increased by 75%​ will be 469.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2