A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.

Answers

Answer 1

Answer:

h = 13 ft

Step-by-step explanation:

The following information is missing:

The hypotenuse of that triangle is 13√2 ft.

The 45°- 45°- 90° triangle theorem states that the length of the hypotenuse is √2 times the length of the legs. This means that, in this case, the length of the legs are 13 ft. One of the legs is the height of the wall.

Answer 2

Answer:

C. 13 ft

Step-by-step explanation:

Explanation above


Related Questions

Garden table and bench cost $554 combined. The Garden table cost $96 less then the bench. What is the cost of the bench?

Answers

Answer:

$325

Step-by-step explanation:

Let x be the cost of the bench.

Therefore, x + (x-96)=554

2x-96=554

2x=650

x=325

Answer:

The bench cost $229 and the garden table costs 229 + 96 = $325

Step-by-step explanation:

let the cost of the bench = x

 

the cost of the garden table = x + 96

x + (x + 96) = 554

 

2x + 96 = 554

 

2x = 458

 

x = 229

if the nth term of a sequence is 3n + 1 what is the 8th term​

Answers

Answer:

25

Step-by-step explanation:

24 + 1

The value of 8th term of the sequence will be 25.

What is the general formula of nth term of a sequence ?

The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.

The nth term of the sequence is 3n+1

The 8th term will be 3 * 8 + 1 = 25

Therefore, the value of 8th term of the sequence will be 25.

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Annie has an interview at 1.20 pm It will take her 1 hours to travel to the interview. She wants to arrive at least 15 minutes before her interview time. What is the latest time Annie should for the interview?

Answers

Answer:

1:05 pm

Step-by-step explanation:

1:05 pm is the latest time

Brandon made $47.00 in 2 hours. How much would he make in 9 hours?

Answers

9/2=4.5 47x4.5=$235

Given g(x)=-x-2, Find g(1).

Answers

g(x)=-1-2

g(x)=-3

i’m pretty sure that’s the answer

please answer need help with equation!

Answers

Answer:

Hi there hope ur having a good day , the answer is

18P

Step-by-step explanation:

[6 X 3]P

18P

Answer:

18P

Step-by-step explanation:

[3X 6]P

18P

Have a great day

There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8
do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a
speaking part?
A: 2/5
B: 1/2
C: 3/5
D: 3/4

Answers

A 2/5 of the students because because 8 out of the 20 students have speaking parts

Taking into account the definition of probability, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

There are 20 children in the cast of a class play, and 8 of the children are boys. Then,   realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.

On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8  do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4  do not have a speaking part in the play.

Therefore, 4 + 4 = 8 of the children have a speaking part.

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case:

number of favorable cases= 8 of the children have a speaking part.number of possible cases= 20 children

Replacing in the definition of probability:

[tex]P(A)= \frac{8}{20}[/tex]

Simplifying the fraction:

[tex]P(A)= \frac{2}{5}[/tex]

Then, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

Write 2.54 x 10^-6 in standard form

Answers

Answer:

2540000 x

Step-by-step explanation

the answer is 2540000...

Please help me with this . I can’t fail geometry I need your help please
Please

Answers

Answer:

31

Step-by-step explanation:

m<ACB is half of the angle AOB  so u divide 62/2 and the answer is31

find the circumference of a circle in terms of pi if the radius of the circle is equal to 6 inches

Answers

Answer:

12pi

Step-by-step explanation:

The answer is 37.71 inches

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Which linear inequality is represented by the graph?

Answers

Answer:

C

Step-by-step explanation:

Answer:

y > 2 / 3x + 3 ; Option C

Step-by-step explanation:

Consider the y - intercept and slope of the following graph;

[tex]y - intercept = ( 0, 3 ) In Other Words - 3\\slope = rise / run = 2 / 3, In Other Words- slope = 2 / 3[/tex]

Now let us formulate an equation given this information;

[tex]Take Equation In Form - y = ax + b, where a - slope, b - yintercept,\\y = ax + b, a = 2 / 3, b = 3, substitute\\y = 2 / 3x + 3[/tex]

If this graph represents a dotted line, the shaded portion being > than that of the line, we can say that instead of the = being in the equation y = 2 / 3x + 3, take a greater than sign!

[tex]Solution ; y > 2 / 3x + 3[/tex]

y > 2 / 3x + 3 ; Option C

Find the greatest common factor of the
following monomials:
34g^5h^6
4g^2h^3
22g^6h^3

Answers

Answer:

2g²h³

Step-by-step explanation:

34g⁵h⁶=2*17g⁵h⁶

4g²h³=2²g²h³

22g⁶h³=2*11g⁶h³

GCF(34g⁵h⁶; 4g²h³; 22g⁶h³)=2 g²h³

At a tailor shop, it costs $6.79 to
shorten a pair of pants and $9.25 to
take in a dress. Lisa brought in 3 pairs
of pants to be shortened and 1 dress to
be taken in. How much will she pay for
the tailoring?
A $16.04
B $20.37
C $27.16
D $29.62

Answers

Answer: $29.62

Step-by-step explanation:

6.79 * 3 = 20.37

9.25 * 1 = 9.25

So, 20.37 + 9.25 = 29.62

Answer:

D

Step-by-step explanation:

(6.79*3)+(9.25*1)=29.62

we multiply the cost of shortening a pair of pants by the number of pants brought and the cost of a dress multiplied by the number of dresses to get our answer

question #1[tex]6\geq -4x-2[/tex]

Answers

x is greater than or equal to -2

The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?

Answers

Answer:

[tex]\dfrac{a+b+c}{2}[/tex]

Step-by-step explanation:

Number of kids in the first class =aNumber of kids in the second class =bNumber of kids in the third class =c

The sum of the kids in the three classes =a+b+c

If they are divided equally between two buses, then we have:

[tex]\text{Number of kids in each of the bus}=\dfrac{a+b+c}{2}[/tex]

Find the equation of the line below.

Answers

A) Remember rise over run

an algebraic _____ has an equal sign

Answers

Answer:

An algebraic equation has an equal sign.

Step-by-step explanation:

By definition, an equation must have an equal sign. Otherwise, it cannot be considered an equation.

an algebraic EQUATION has an equal sign because it is showing that the two sides are equal. if it was an expression there would be a greater than or less than symbol

Solve the system of equations and choose the correct ordered pair.

3x + 5y = 2 9x +11 y= 14



A. (4, -2)

B. (4,2)

C. (3,-2)

D. (3,2)

Answers

Answer:(4,-2)

Step-by-step explanation: elimination method

3(3x+5y)=2×3

9x+11y=14

9x+15y=6

-

9x+11y=14

4y=-8

y=-2

To get x replace y with -2

3x+(5×-2)=2

3×=12

X=4

Answer:

its A

Step-by-step explanation:

There are 1265 students at Cypress Middle School. 42% of the students are enrolled in PE. Which equation could be used to represent the number of students enrolled in PE?

Answers

Answer:

0.42* 1265=x

Step-by-step explanation:

There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of  these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.

2 Points
Solve 5x - c= k for x.

Answers

Answer:

[tex]x = \frac{c + k}{5} [/tex]

Step-by-step explanation:

[tex]5x - c = k \\ 5x = c + k \\ \frac{5x}{5} = \frac{c + k}{5} \\ x = \frac{c + k}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: x = 1/5c + 1/5k

Step-by-step explanation:

5x - c = k

5x = c + k:

Divide both sides by 5

x = 1/5c + 1/5 k

Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction

Answers

Answer:

Tan 60 degrees = 1.732 degrees

Step-by-step explanation:

Using trigonometry value, The value of tan(60°) = 1.73205.

What is trigonometry?

Trigonometry is "branch of mathematics with specific function of angles and their applications to calculation".

According to the question,

In right triangle XYZ, the value of tan(60°) = [tex]\frac{1}{\sqrt{3} }[/tex]

= 1.73205.

Hence, Using trigonometry value, The value of tan(60°) = 1.73205.

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What is the common ratio of the geometric sequence below 625, 125, 25, 5, 1

Answers

Answer:

[tex] \frac{1}{5} [/tex]

Step-by-step explanation:

Given geometric sequence is: 625, 125, 25, 5, 1

Common ratio

[tex] r = \frac{succeeding\: term}{preceding \: term} \\\\

\therefore r = \frac{125}{625} \\\\

\therefore r = \frac{1}{5} [/tex]

Answer:

B or 25/125

Step-by-step explanation:

Got it right

PLZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPP ASAPPP
Mac waters plants for his neighbors when they are away. He graphed several points on a coordinate grid to represent the watering. The x-axis represents the number of plants he has watered in a given day, and the y-axis represents the number of gallons of water he has used to water them. Which point on his graph represents a different ratio of gallons of water to plants than the other points?

A. (16, 4)
B. (8, 2)
C. (24, 8)
D. (48, 12)

Answers

Answer:

Step-by-step explanation: 50 km is 36.1 km more than 13.9.

Hope this helps !

-Carrie

Step-by-step explanation:

The correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.

What is the ratio?

The ratio is the representation of the fraction where this fraction is represented by the : symbol.

Given in the question number of plants that he watered every day is represented on the x-axis in the coordinate grid.

The number of gallons that he waters every day is represented on the y-axis in the coordinate grid.

We have to check the ratio of the y coordinate and the x coordinate is different from other options.

By checking all the options

Option A: (16,4) ratio of gallons of water and plants that are watered is 4/16= 1/4= 1:4

Option B: (8,2) ratio of gallons of water and plants that are watered is 2/8= 1/4= 1:4

Option C: (24,8) ratio of gallons of water and plants that are watered is 8/24= 1/3= 1:3

Option D: (48,12) ratio of gallons of water and plants that are watered is 12/48= 1/4= 1:4

By analyzing all options, Option A, B, D has a ratio 1:4. and Option C has a ratio 1:3.

Therefore the correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.

Learn more about ratio

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Help me once again please :)

Answers

Answer:

C. 30-60-90

Step-by-step explanation:

the ratio for a 3-6-9 triangle is x, 2x, x√3

if x=8, then 2x=16, and x√3 =8√3

it's not A because it is a right angle triangle.

it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer

Answer:

c

Step-by-step explanation:

The longest side is hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

16² = 8² + (8√3)²

256 = 256 True, so it is a right triangle.

Short leg = 8, long leg = 8√3

For 30-60-90 right triangle:

short leg = hypotenuse/2 = 16/2 = 8 , true:

long leg = short leg*√3 = 8√3, true.

-4x-19=x^2
Convert the problem from factored to standard form.

Answers

Answer: c= 4/19

Step-by-step explanation:

Which equation solves the real world problem below?

Homer and his family are on a road trip. If they have traveled 14 of the total distance in the past 3 days, what fraction of the total distance did they travel per day?
a) 3 ÷ 1/4=12 b) 3 × 1/4 = 3/4 c) 1/4 ÷ 3 = 1/12 d) 3 + 1/4 3 1/4

Answers

Answer:

d) 3 1/4

Step-by-step explanation:

The equation for the total distance traveled per day is  1/4 ÷ 3 = 1/12 of the total distance

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total distance traveled per day be represented as A

Now , the equation will be

The distance traveled for the last 3 days = 1/4 of the total distance

So ,

Total distance traveled per day = distance traveled for the last 3 days / 3

Substituting the values in the equation , we get

Total distance traveled per day A = ( 1/4 ) / 3

On simplifying the equation , we get

Total distance traveled per day A = 1/12 of the total distance

Hence , the equation is 1/4 ÷ 3 = 1/12

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-(-4) (-6) -3/5 (10+15) -------------------------------- 1/3 A)-117 B)-13 C)3 D)27 show all work plss due today

Answers

Answer: d) 27

Step-by-step explanation:

When you multiply 4*6 you know it’s 24 right? Then you can subtract 3/5 using lcm and times that by 25

Hope that helps!

The value of the expression is -100/3.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

- (-4) (-6) - 3/5 (10 + 15) - 1/3

Simplifying the expression.

= 4 x -6 - 3/5 x 15 - 1/3

= -24 - 3 x 3 - 1/3

= -24 - 9 - 1/3

= (-72 - 27 - 1)/3

= -100/3

Thus,

The value of the expression is -100/3.

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5. An individual has a weight of 735 Newtons. What is the individual’s mass?

Answers

The right answer is 75 kg

Please see the attached picture for full solution

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Good luck on your assignment

find the product. write your answer in exponential form.

Answers

Answer:

8⁷

Step-by-step explanation:

In multiplication, if two numbers have the same base, add the powers

8⁵*8² = 8⁵⁺² = 8⁷

What is the cot in simplest fraction form????
Please help been stuck for 30 minutes!!

Answers

Answer:

65/72

Step-by-step explanation:

cot is simply cosine over sine or the tangant flipped

the cos (c)=65/97

sin (c) = 72/97

cot would be (65/97)/(72/97)

How do you divide fractions? By multiplying the reciprocal!

cot would be  65/97 * 97/72

the 97s cross out.

65/72

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