Simplify this expression.
2^5(13 +12)

Answers

Answer 1
Answer:

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800


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Fill in the blank. In the triangle below, z = _____.

Answers

Well, for any triangle the angles inside of it will add up to 180...
So the square in the corner of the triangle means its a right angle, meaning its 90 degrees.
If we add 90 and 42 together that equals 132.
180 minus 132 equals 48.
This meaning that angle z is 48 degrees.

Answer: z = 48 degrees

In the triangle given, the missing angle z = 48°

What is the sum of angles in a right-angle triangle?

The sum of angles in a right-angle triangle is 180°. To calculate a missing angle in the right angle triangle, we have to sum up the given angles and equate it to 180°.

From the given information, we have:

90° + 42° + z = 180°

132° + z = 180°

z = 180° - 132°

z = 48°

Therefore, we can conclude that the missing angle z = 48°

Learn more about calculating the sum of angles in a triangle here:

brainly.com/question/25215131

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A cat is stuck in the tree and the fire department needs a ladder to rescue the cat. The fire truck available has a 95-foot ladder, which starts 8 feet above ground. Unfortunately, the fire truck must park 75 feet away from the tree. If the cat is 60 feet up the tree, does the cat get rescued? If not, what ladder length is need to allow the cat to be rescued?Group of answer choices
A. No because an 117-foot ladder is needed but the truck has only a 95-foot ladder.
B. No because an 96-foot ladder is needed but the truck has only a 95-foot ladder.
C. Yes because only a 75-foot ladder is needed and the truck has a 95-foot ladder.
D. Yes because only a 91-foot ladder is needed and the truck has a 95-foot ladder.

Answers

Answer:

I guess the ans d is correct because using pythagoras theorem we get 91.26 ft .

please help me to solve this equation i tried to look it up on multiple websites but they only confused me 9/4-1/(2x)=4/x

Answers

solve for x
so assuming that the fractions are
(9/4)-(1/*2x))=4/x then
get all x on one side
add 1/(2x) to both sides
9/4=(4/x)+(1/(2x))
make common denomators with x and 2x
common denomenator is 2x
4/x times 2/2=8/(2x)
9/4=8/(2x)+1/(2x)
add
9/4=9/(2x)
make common denomators with 4 and 2x
common denomator is 4x
9/4 times x/x=9x/(4x)
9/(2x) times 2/2=18/(4x)
9x/(4x)=18/(4x)
multiply both sides by 4x to clear fraction
9x=18
divide both sides by 9
x=2

There were 88 vendors at the craft fair. They needed to set up an equal number in each of the rows and needed 4 flags to mark each row. How many rows and flags were needed?

Answers

Answer:

22 rows and 22 flags are needed

Step-by-step explanation:

Total number of vendors = 88

Existing number of rows and flags= 4

Number of rows and flags needed= 88/4 =22

Answer:

4rows and 16flags

Step-by-step explanation:

Since there were 88 vendors at the craft fair and 4flags on each rows. To set up equal number of vendors on each row, we will use the expression;

Number of vendors per row = Total number of vendors/total number of flags per row = 88/4 = 22 vendors

If there are 22 vendors in a rows and there are 88vendors in total, the total of rows will be;

Total number of vendors/number of vendors per row

= 88/22

= 4 rows

If there are four rows in total and 4flags in each row, the total of flags needed will be;

Total number of row × total flag per row

= 4×4

= 16flags

This shows that there are 4rows and 16flags were needed.

Which is greater, 0.5 or 2/3??

Answers

Find the average=.gr2ate2+0.5+ 23 3
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD). 
 which  equals 3
Find the mean (arithmetic)-.gr^2ate^2+0.5+ 23 3
The LCM (least common multiple) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.=2grat

In other words:
0.5, 3/5, 0.65, 2/3
 Hope this helps
 So therefore, 2/3 is greater



0.5, 2/3 = 0.6So 2/3 is greater.Hope it helps and pls mark as the best answer. :-)

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic expression in this equation? givwn that the equation is : x2 + x +____ = 0

Answers

Let the numbers be x and x+1
x(x+1)=420
x^(2) +x=420
x^(2) +x-420=0
The constant is -420

Answer:

-420

                 

Step-by-step explanation: