Mathematics High School

Work out the length of x
(The diagram is not drawn accurately)

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 24² = 25²

x² + 576 = 625 ( subtract 576 from both sides )

x² = 49 ( take square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Answer 2

Hey ! there

Answer:

Length of x is 7 cm

Step-by-step explanation:

In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .

For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

SOLUTION : -

Here in the triangle ,

Hypotenuse is 25 cm

Base is 24 cm

Perpendicular is x

Applying Pythagorean Theorem :

[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]

On squaring 24 and 24 we get ,

[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]

Subtracting 576 on both sides :

[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]

We get ,

[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]

Applying square root on both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]

Henceforth , length of x is ❝ 7 cm ❞ .

Verifying : -

We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,

( 25 )² = ( 7 )² + ( 24 )²

625 = 49 + 576

625 = 625

L.H.S = R.H.S

Hence , Verified .

Therefore, our answer is correct .

#Keep Learning

Related Questions

please help me find area and circumference!!!

Answers

Answer:32.16

Step-by-step explanation:

AREA

A=πr2

π x 3.22≈32.16991

CIRCUMFERENCE

C=2πr

2 x π x 3.2≈20.10619

find the value of sinx if tanx=5/4

Answers

Answer:

sinx=5/√41

Step-by-step explanation:

tanx=5/4=p/b

According to Pythagoras's theroem;

h=√p^2+b^2

or, h=√5^2+4^2

or, h=√25+16

:-h=√41

Now,

sinx=p/h

=5/√41

3.
In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA
AB = S, and PC = 10.
10
X
B
Р
5
A
What is the length of BC?
A. 6.4
B. 8
C 12.5
D. 16

Answers

Answer: 12.5

Step-by-step explanation:

12.5 is the length of BC.

Here, we have,

given that,

In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA = 5, AB = 5, and PC = 10.

now, we know that,

∠OAB and ∠BCP are right angles, because of the tangents.

and, ∠OBA ≅ ∠CBP (vertical angles)

thus, we get,

ΔAOB ≅ ΔCBP, by AA rule.

so, we can set up the proportion:

10/4 = x/5

or, x = 12.5

Hence, 12.5 is the length of BC.

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Each cube in this figure measures 1 foot on each side.

What is the volume of this figure?

45 ft³

80 ft³

200 ft³

300 ft³

Answers

Answer:

Your answer would be:
C.) 200 ft³

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

200 ft³

Step-by-step explanation:

It is given that: Each cube in the figure measures 1 foot.

-> length of the figure[tex] (l) [/tex]= 5 feet

Width of the figure [tex](w) [/tex]= 5 feet

Height of the figure[tex] (h) [/tex]= 8 feet

Given figure is a cuboid.

[tex]V_{figure} = l.b.h[/tex]

[tex]\implies V_{figure} = 5*5*8[/tex]

[tex]\implies V_{figure} = 200\: ft^3[/tex]

Solve this system of linear equations. Separate
the x- and y-values with a comma.
7x = -63 - 11y

Answers

7x=-63-11y-(1) 8x=93+11y--(2)

Adding both

15x=30x=2

Putting in second one

8(2)=93+11y11y=16-9311y=-77y=-7

Answer:

2, -7

Step-by-step explanation:

Question

Solve the system of linear equations:

8x = 93 + 11y7x = -63 - 11y

-------------------------------------------------------------------------------------

Solution

Add the equations together to eliminate y:

8x = 93 + 11y

+ 7x = -63 - 11y

-------------------

15x = 30

⇒ x = 30 ÷ 15

⇒ x = 2

Now substitute the found value of x into one of the equations and solve for y:

⇒ 7x = -63 - 11y

⇒ 7(2) = -63 - 11y

⇒ 14 = -63 - 11y

⇒ 11y = -63 - 14

⇒ 11y = -77

⇒ y = -77 ÷ 11

⇒ y = -7

Therefore, x = 2 and y = -7

A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
12
24
42
Time (in minutes)
2 4 7
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted distance traveled in 9 minutes: km

Answers

Based on the information provided in the table, the train appears to go the same distance each minute.

Does the train go the same distance each minute?

In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.

Average speed = total distance / total time

Average speed when distance is 12km = 12 km /2 = 6km/hrAverage speed when distance is 24km = 24 km /6 = 6km/hrAverage speed when distance is 42km = 42 km /7 = 6km/hr

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help me pls! giving out brainliest

Answers

Answer:

1) 3/2

2) 13/10

3) 1/3

4) 9/7

5) 13/20

Step-by-step explanation:

please help me resolve this factor
into cube

Answers

[tex]a^ 6 - 64\\\\=(a^3)^2 - 8^2\\\\=(a^3 -8)(a^3 +8)\\\\=(a^3 -2^3)(a^3+2^3)\\\\=(a-2)(a^2 +2a +2^2)(a+2)(a^2 -2a+2^2)\\\\=(a-2)(a^2 +2a+4)(a+2)(a^2 -2a+4)[/tex]

reflect the point worksheet

Answers

Answer:

I don't know the answer I think

Please help with this question!!

Answers

The value of y is 3 if the value of x is 4 in the linear equation with two variables.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Two linear equations in two variables x and y

x + y = 7

x = 4

Plug x = 4 in the equation x + y = 7, we get:

4 + y = 7

y = 7 - 4

y = 3

Thus, the value of y is 3 if the value of x is 4 in the linear equation with two variables.

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Answer:

The value of y is 3 if the value of x is 4 in the linear equation with two variables.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Two linear equations in two variables x and y

x + y = 7

x = 4

Plug x = 4 in the equation x + y = 7, we get:

4 + y = 7

y = 7 - 4

y = 3

Step-by-step explanation:

The length of a rectangle 3yd is less than twice the width, and the area of the rectangle is 14yd^2. Find the dimensions of the rectangle.

Answers

Answer: 4 yd x 3.5 yd

Step-by-step explanation:

A = LW

L = 2x - 3

W = x

14 = (2x - 3)(x)

14 = 2x^2 - 3x

2x^2 - 3x - 14 = 0

(x + 2)(2x - 7)

x = - 2, 7/2 or 3.5 (length cannot be negative)

x = 3.5 (width)

Length

2x - 3

2(3.5) - 3

7 - 3 = 4

Mark as brainliest please TT. Thank you :D

Hope it helps!!!

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

It's C

Step-by-step explanation:

Simplify the expression

Answer:

27/4 or 6 3/4

6.75 in decimal form

Step-by-step explanation:

anyone knows this?!

Answers

Answer:

I would get two news article that have done research on lets say the weather next week, and compare how they used data, and probability citing sources of course i know it sounds complicated

Step-by-step explanation:

i dont know if this helps- but i hope it does Lol

Maria is camping when she starts to smell smoke. She turns on her radio and hears
that a forest fire is heading her way. How can Maria's organ systems interact to help
keep her safe? Include at least five organ systems in your response.

Answers

Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.

What are the organ systems?

The organ systems is the system of body which consist of different organs of the body. These organs help to work the body freely.

Maria is camping when she starts to smell smoke. She turns on her radio, to get the news that a forest fire is heading her way. The organs which help her to keep safe from fire are listed below:

Nervous system- It helps to react the body against the hazard.Respiratory system-This organ system help Maria to keep breath with increasing the breathing rate.Integumentary System-This system help to protect her inner body from external environment.Endocrine System- It will help to maintain energy level. Muscular System-This system will help to run and do physical task in the fire.

Thus, Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.

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Find the zero of the linear equation f(X)=2 by graphing

Answers

Answer:

Slope: 0

Y-intercept: (0,2)

Step-by-step explanation:

help please and show work:)

Answers

The height of the triangle will be equal to H=8.66 inches and the area of the triangle will be 43.30 square inches.

What is an area of a triangle?

The space covered by the triangle in the two-dimensional plane will be the area of the triangle.

It is given that in the triangle all three sides are 10 inches:-

Height of the triangle=?

Area of the triangle=?

First the height of the triangle will be calculated as:-

[tex]\rm Tan\theta=\dfrac{P}{B} \\\\\\Tan\theta=\dfrac{P}{5}\\\\\\Tan60=\dfrac{P}{5}\\\\\\P=8.66\ inches[/tex]

The area of the triangle will be:-

[tex]\rm Area= \dfrac{1}{2}\times Base\times Height\\\\\\Area=\dfrac{1}{2}\times 5\times 8.66\\\\\\Area = \43.30\ square \ inches[/tex]

Hence the height of the triangle will be equal to H=8.66 inches and the area of the triangle will be 43.30 square inches.

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Which point is located at -8.65−8.65minus, 8, point, 65?

Answers

The question is an illustration of a number line, and the point located at -8.65 is B

How to determine the point?

From the complete question, we have the following highlight

Point B is between -8 and -9, and point B is closer to -9 than -8

No other point is between -8 and -9

So, we can conclude that the point located at -8.65 is point B

Answers

Answer:

605

Step-by-step explanation:

1. 110:8

2. 110÷8=13.75

3. 13.75×44=605

What are the excluded values of x for x^2-9x/ x^2 -7x-18
?
O x = -9, x = 2
O x = -9, x = 0
Ox= -2, x = 9
O x=0, x= 9

Answers

Answer:

3rd option

Step-by-step explanation:

the denominator cannot be zero as this would make the expression undefined.

equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0 ← in standard form

(x - 9)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 2 = 0 ⇒ x = - 2

then

x = - 2, x = 9 ← are the excluded values

Write an explicit formula for an, the nth term of the sequence 4, 20,100. WILL GET BRAINLIEST!!!!!

Answers

Answer:

aₙ = 4(5)ⁿ⁻¹

Explanation:

To identify a geometric series: second term = √(first term * third term)

Here given:

1st term: 42nd term: 203rd term: 100

check ============

20 = √(100*4)

20 = √400

20 = 20 Hence its a geometric term.

Find common difference (r):

20/4 = 5 or 100/20 = 5

Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹ [where a1 is the 1st term, r is common difference]

insert values found

aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.

4,20,100

First term=a=4

Common ratio

r=20/4=5

Now

explicit formula

a_n=ar^{n-1}a_n=4(5)^{n-1}

Bottom part, I need a answer quick please help!

Answers

Answer: 1/2, -12

Step-by-step explanation:

[tex]y = (2x - 1)(2x + 24)[/tex]

Set both sets of expressions in parenthesis equal to 0

[tex]2x-1=0, 2x+24 = 0[/tex]

solve...

[tex]x=\frac{1}{2}, x=-12[/tex]

mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and white). if mary picks each part of her outfit randomly, what is the probability that mary's outfit will be black bouse, black pants, black shoes?

Answers

The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).

P(black blouse) = 1/3

P(black pants) = 1/2

P(black shoes) = 1/4

Probability that Mary's outfit will be black blouse, black pants, black shoes:

= (1/3)(1/2)(1/4)

= 1/24

Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

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What is the measure of angle 1?

Answers

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

AOE + BOD + BOA + DOE = 360AOE + BOD = 90 + 36 = 126BOA + DOE = 360 - AOE - BOD = 234Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2Likewise, OBA = (180 - BOA) / 2Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

10. The Harlem Renaissance of the 1920’s could be described as:
a) a period when African Americans gained political leadership
b) a major urban renewal project providing new houses for African Americans
c) a time of increased recognition of African American athletes
d) a rebirth of African American culture as seen through the experiences of musicians and writers

Answers

Answer:

Answer is A.

Step-by-step explanation:

I'm pretty sure lmk if I'm wrong.

Please help me!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

120(I'm not definitely sure)

Step-by-step explanation:

IQR= Q3- Q1= 170 - 50 = 120

A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4
A. 3/2
B. 7/3
C. 9/2
D. 5/3

Answers

Answer:

look at the explanation

Step-by-step explanation:

In order to solve this, we'll set up a proportion.

Since y is inversely related to the square of x, therefore:

y=4/63 ----->9 (square of x)

y=?

25 (square of x)

According to the inverse relation:

y=4/63------->25

y=? --------

-->9 and y=4/175

2x + 3y = 5 complete the table for this two-variable equation

Answers

Answer + Step-by-step explanation:

I dont have the table to complete it but some point that can be,

2x + 3y = 5

3y = 5 - 2x

3y / 3 = 5 - 2x / 3

slope = -2 / 3

y intercept: (0, 5/3)

5/2, 0

hi i need help on this
Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Enter your answer in the box.

Answers

Answer:

32 inches

Step-by-step explanation:

12 feet = 144 inches

7 feet = 84 inches

144 - 84 - 28 = 32

Answer:

32 inches

Step-by-step explanation:

1 feet= 12 inches

12×12 =144

7 feet- 12×7 =84

so ruth has 12 inches and she gives her sister 28

144-(84+28)

144-112

=32 inchey

ruth has left 32

hope it helps

can you mark me as the brainliest?

what number do i multiply π(pi)^2 by to end up with a number with no decimal
brainly +100 points for first correct response
π^2 x ___ =

Answers

Answer:

1/π²

Step-by-step explanation:

On multiplying π² by its inverse value, you get the answer to be 1, which has no decimal points.

π² × 1/π² = 1

Answer:

π² × 1/π² = 1

Step-by-step explanation:

Given equation,

→ π² × ___ = ?

Let's keep the missing term as y, and product as 1 (a number with no decimal).

→ π² × y = 1

Then the answer will be,

→ π² × y = 1

→ [ y = 1/π² ]

Verification of the value of y,

→ π² × y = 1

→ π² × (1/π²) = 1

→ [ 1 = 1 ]

→ LHS = RHS

Hence, 1/π² is the missing term that ends up with a number with no decimal.

Solve and classify the given system of linear equations.
p=5(q+2)
p=q-3

Answers

Answer:

q = -3.25

p = -6.25

Step-by-step explanation:

substitute p with ( q-3)

q-3 = 5(q+2)

q-3 = 5q + 10

q-5q = 3+10

-4q = 13

q = -3.25

if q = -3.25 therefore

p= -3.25 -3

= -6.25

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Work out the length of x (The diagram is not drawn accurately)

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Work out the length of x
(The diagram is not drawn accurately)