Which expression is equivalent to 1/4(20z+24)?

Answer:

[tex]3\sqrt{2}[/tex]/2

Step-by-step explanation:

first we take the square root of the top and bottom:

[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]

The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.

72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]

We know that the square root of 9 is 3, so now we have

[tex]\frac{3\sqrt{8} }{4}[/tex]

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

[tex]\frac{3*2*\sqrt{2}}{4}[/tex]

last, we simplify and get

[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

This net could form a Pyramid

will have 5 faces 5 points and 5 vertices

Step-by-step explanation:

Answer:

.06

Step-by-step explanation:

Answer:

1/15

Step-by-step explanation:

so theres 1/5 jam left in the far, which isn't much, and 3 friends have to split it equally between them, so the 1/5 jar of jam is split into 3,

just simply divide 1/5 by 3 and you will get 1/15 for your final answer.

Answer:

2 6/10 or 13 / 5 = 2.60000

Step-by-step explanation:

                 33

Simplify   ——

                  10

59    33

—— - ——

10     10

Adding fractions that have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

59 - (33)     13

————  =  ——

   10              5

13          

—— = 2.60000

 5        

Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

i'm doing the same question but i think it is a right triangle but in a different position.

Step-by-step explanation:

Answer:

c = -8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Answer:

C

Step-by-step explanation:

A shows the range of numbers greater than 1, not including 1 (the circle on the number 1 is empty, meaning 1 isn't included - when it's filled in then 1 is included).

B shows the range of numbers less than 1, not including 1.

C shows the range of numbers less than and including 1.

D shows the range of numbers greater than and including 1.

'≤' means 'less than or equal to'

We're looking for the range of numbers less than and including 1: C

=======================================================

Explanation:

Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.

The coordinates of point B are x = 5/3 and y = -7/2

So we have

(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate

and

(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate

The point (5/3, -7/2) moves to (5/9,  -7/6)

Answer:

Yes, SAS.

Step-by-step explanation:

For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.

Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.

Answer:

9g -5h - 8

Step-by-step explanation:

We first have to get everything out of the parentheses, so we take the negative that is surrounding the parentheses and apply it to the equation inside of it, giving us this: 5g - 2h - 3h - 8 + 4g

Then, all we need to do is simplify it into this expression: 9g -5h - 8

Answer:

9g-5h-8

Step-by-step explanation:

(5g-2h)-(3h+8-4g)

Opening the brackets

5g-2h-3h-8+4g

9g-5h-8

Answer:

C. 8 miles per hour

Step-by-step explanation:

1/24th of an hour is 2.5 minutes, taking Diego 2.5 minutes to ride 1/3rd of a mile

2.5 x 3 (to signify how long it would take Diego to ride a mile) = 7.5 minutes

60 divided by 7.5 = 8

Therefore, Diego's speed in MPH is 8.

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

Answer:

80°

Step-by-step explanation:

According to angles rule,

100° + x = 180° [linear pair]

=> x = 180°-100°

=> x = 80°(Ans)

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

In triangle ABC,

[tex]\tan \theta=\dfrac{AC}{BC}[/tex]

[tex]\tan \theta=\dfrac{2.7}{5}[/tex]

[tex]\tan \theta=0.54[/tex]

It can be written as

[tex]\theta=\tan^{-1}0.54[/tex]

[tex]\theta\approx 28.369[/tex]

Therefore, the measure of θ is 28.369.

Answer:

30% i think so yea......

Answer:

68

Step-by-step explanation:

130% × Y = 88.40

Y = 88.40 ÷ 130%

Y = 68

Checking...

68 × 130% = 88.40

Sorry it so long to respond. I just learned how to calculate it myself.

Answer:

Pedro made 54 ounces of coffee in total.

Step-by-step explanation:

Identify what you know:

1) Pedro gave his friend 34 ounces of coffee.

2) There was 20 ounces of coffee left over after!

So, we need to add the amount of coffee that his friend had, to the amount that's left, to get the total amount that he made.

Let's make an equation, where x equals the total amount!

34 + 20 = x

OR

x - 34 - 20 = 0

Hope this helps!

Answer:

54

Step-by-step explanation:

34+20= 54 ounces of coffee

Answer:

i am kinda unsure butfirst do 2x divided by 3 and go from there

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

I dont really think this is it but i think its 20

Step-by-step explanation:

60 divided by 3 is 20

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

Answer:

a circle

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because I multiplied 4 times 3.

Answer:

1/12

Step-by-step explanation:

3 / 1/4=1/12 another way to find the answer is to do 3/1 x4/1 u will get the same answer :)

and part b is b

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.