Mathematics High School

A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth?
A. 8.5 cm
B. 7.5 cm
C. 5.5 cm
D. none of the above

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The hypotenuse squared is equal to the sum of the legs squared in a right triangle.

∴ c² = a² + b² (Pythagorean’s Theorem)

c² = 3.4² + 6.7² (substitute the given values for a & b)

c² = 11.56 + 44.89 (square both right hand terms)

c² = 56.45 (add the right hand side values)

c = √56.45 (square root of both sides)

c ≈ 7.5 to the nearest tenth QED

Related Questions

In the figure below, Angles 1 and 2 are congruent.


If m Z1 = 70°, what is the sum of Angles 3 and 4?
O A. 150°
O B. 140°
O C. 110°
оD 180°

Answers

The answer is A. 150

Al sumar su doble, su mitad y 15 se obtiene 99.
​

Answers

Answer:x = numero

2x= doble

x/2= mitad

sumamos todo : x+2x+x/2+15=99

7x/2= 99-15

7x= 84(2)

x=168/7

x=24

comprueba sumando 24+48+12+15=99 suerte!!!

Step-by-step explanation:

The value of the unknown number is 33.6

Let the unknown number be "x"

The half of the number is 0.5x

Double of the number is expressed as 2x

Adding this functions together and 15 and equating to 99 will give;

0.5x + 2x + 15 =99

Solve for x

2.5x = 99 - 15

2.5x  = 84

x = 84/2.5

x = 33.6

Hence the value of the unknown number is 33.6

Learn more here: https://brainly.com/question/16510024

Use substitution to solve the system.
x=3y+5
5x-4y=14
______________
x=
y=

Answers

So what you do is go 5(3y+5)-4y=14 which equals 15y+25-4y=14 which turns into 11y+25=14 than you move the 25 over which equals 11y=-11 so y=-1 then you enter -1 in for y which looks like 5x-4(-1)=14 than you solve that which is 5x+4=14 than you move the 4 over and you get 5x=10 than x=2

x=2
y=-1

What is the value of the expression 4/7 ÷ 12/21

Answers

Your answer is 1
:::::::::

Answer:

Step-by-step explanation:

​ [(24÷12)⋅6]+3⋅8÷2 ​

2.Evaluate the expression.

​ (26÷13)⋅(−7)+14−4 ​

3.Simplify this expression.

9 + 3 × 2

15

21

24

48

4.What is the value of this expression?

6⋅[(32−8)÷4+2]

5.Simplify.

6y+5z+8y−3z

11y + 5z

14y +2z

14y + 8z

16yz

does this help

A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?

Answers

Answer:

$170

Step-by-step explanation:

15 percent of 200 is 30 and 30 minus 200 would be 170

170 :))))):)))))))))

What would be the slope for a line perpendicular to y = -¼x + 2?

Answers

Answer:

m perpendicular= [tex]-\frac{1}{notlinear}[/tex]

Step-by-step explanation:

So here we have an equation with a negative slope. And it wants us to find the perpendicular slope

So if our slope is negative, the slope perpendicular to that would be the positive reciprocal.

Let m= -A/B so the slope perpendicular to that would be B/A

Here our slope is -1/4 so the slope perpendicular to that would be -(-4/1) which is just 4

Therefore your perpendicular slope would be 4

I am unable to understand how to solve this question, please send the working out.

Answers

1 Move the negative sign to the left.
(
9
x
)
1
2
8
x
−
1
2
3
(9x)
​
​2
​
​1
​​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

2 Convert
(
9
x
)
1
2
(9x)
​
​2
​
​1
​​
​​ to square root.
9
x
8
x
−
1
2
3
√
​9x
​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

3 Use this rule:
a
b
=
a
b
√
​ab
​
​​ =√
​a
​
​​ √
​b
​
​​ .
9
x
8
x
−
1
2
3
√
​9
​
​​ √
​x
​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

4 Since
3
×
3
=
9
3×3=9, the square root of
9
9 is
3
3.
3
x
8
x
−
1
2
3
3√
​x
​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

5 Use Multiplication Distributive Property:
(
x
y
)
a
=
x
a
y
a
(xy)
​a
​​ =x
​a
​​ y
​a
​​ .
3
x
8
3
x
−
1
2
3
3√
​x
​
​​
​3
​​ √
​8
​
​​
​3
​​ √
​x
​−
​2
​
​1
​​
​​
​
​​

6 Calculate.
3
x
×
2
x
−
1
2
3
3√
​x
​
​​ ×2
​3
​​ √
​x
​−
​2
​
​1
​​
​​
​
​​

7 Use this rule:
(
x
a
)
b
=
x
a
b
(x
​a
​​ )
​b
​​ =x
​ab
​​ .
3
x
×
2
x
−
1
2
×
3
3√
​x
​
​​ ×2x
​
​2×3
​
​−1
​​
​​

8 Simplify
2
×
3
2×3 to
6
6.
3
x
×
2
x
−
1
6
3√
​x
​
​​ ×2x
​
​6
​
​−1
​​
​​

9 Move the negative sign to the left.
3
x
×
2
x
−
1
6
3√
​x
​
​​ ×2x
​−
​6
​
​1
​​
​​

10 Use Negative Power Rule:
x
−
a
=
1
x
a
x
​−a
​​ =
​x
​a
​​
​
​1
​​ .
3
x
×
2
×
1
x
6
3√
​x
​
​​ ×2×
​
​6
​​ √
​x
​
​​
​
​1
​​

11 Use Quotient Rule:
x
a
x
b
=
x
a
−
b
​x
​b
​​
​
​x
​a
​​
​​ =x
​a−b
​​ .
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]

12 Simplify
1
2
−
1
6
​2
​
​1
​​ −
​6
​
​1
​​ to
1
3
​3
​
​1
​​ .
3
×
2
x
3
3×2
​3
​​ √
​x
​
​​

13 Simplify.
6
x
3
6
​3
​​ √
​x
​
​​

Answer:

[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]

Step-by-step explanation:

The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.

340.1 ÷ 9.5 = 358

Answers

Answer:

35.8

Step-by-step explanation:

                [tex]\frac{340.1}{9.5}[/tex]  = 358

 We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

  Also,

  Both values are to one decimal places and we can use this to solve the problem;

  9 can divide 340 in about 37 place with a remainder of 7,

    So, it is appropriate to make the solution 35.8

The property tax on a $60,000 home is $1,500. At this rate what will the property tax be on a home worth $75,000?

Answers

Answer:

The answer is $1,875

Step-by-step explanation:

1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750

2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000

3. So then $1,500 + $375 = $1,875

4. $75,000:$1,875

4. Hope this helps :)

What is the discriminant of the quadratic equation, 4x^2-8x-5=0​

Answers

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

whats the slope to this ​

Answers

Answer:

-14/15

Step-by-step explanation:

y^2 - y^1
-11-0/-15-3
-11/-18

Will give brainliest

Answers

i dont no but can someone help me on this???

Pick one thing about the U.S. Constitution including its amendments that you think should be changed. What modifications that you would make? Explain your reasons for making this change. Please write a 5 paragraph essay that details the changes

the answer is b= - 4

Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,

Answers

Answer:

-3/2

Step-by-step explanation:

Visualize it or write it out.

Can someone please solve this before I get my phone taken away?

Answers

Answer:

option 1 or should be

Step-by-step explanation:

4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah

Please Help! need a step by step answer will give brainly

Answers

Answer:

If I know I will defiantly answer .but where is the question

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answers

Answer:

4x+12

Step-by-step explanation:

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

(5+2x)+(7+2x)

The perimeter would be 4x+12

Hope I helped!

Please mark Brainliest!!!

Answer:

The answer is A. 4x+12

Step-by-step explanation:

Just took the test on edge 2020 :D

2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:

Answers

Answer: 177

Step-by-step explanation:

A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds

Answers

Given:

A rocket is 1.5 miles above the earth in 20 seconds.

It is 8 miles above the earth in 2 minutes.

To find:

The rockets rate of change in miles per seconds.

Solution:

Let y be the height above the earth after x seconds.

A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).

It is 8 miles above the earth in 2 minutes.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the point is (120,8).

The rockets rate of change in miles per seconds is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{8-1.5}{120-20}[/tex]

[tex]m=\dfrac{6.5}{100}[/tex]

[tex]m=0.065[/tex]

Therefore, the rockets rate of change is 0.065 miles per seconds .

The post office sold 39-cent
commemorative stamps in sheets
of 25 stamps. What was the price
for the sheet of stamps?

Answers

Answer: $9.75.

Step-by-step explanation:

Given: Cost per stamp  = 39 cents

since 1 dollar = 100 cent , so 1 cent = 0.01 dollar

So,  Cost per stamp  = $0.39

Total stamps = 25

Cost of 25 stamps = (Cost per stamp)  x (Cost per stamp)

=$0.39 x 25

= $9.75

Hence, the price  for the sheet of stamps = $9.75.

What is the slope of the line with the points (3,5) and (6,4)

Answers

Answer:

The slope is -1/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(4-5)/(6-3)

-1/3

What is the solution to the equation below
50+ 4 = 2(C-5)

Answers

Answer:

32

Step-by-step explanation:

54 = 2(C-5)

27 = C-5

32 = C

A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how
many boxes can they pack in 8 minutes.

Answers

Answer:

112 boxes

Step-by-step explanation:

Answer: 112 boxes

Step-by-step explanation: 112 boxes in 8 minutes. To find how many boxes the machine packs per minute, you divide 70 by 5 and you get 14. You then multiply 14 boxes by 8 minutes giving you the product of 112.

The image of (2,-5) under the translation (X-3.y+6)

Answers

(7,2) is the correct answer. just took test

If u understand this May u help me please

Answers

Answer:

Sure what you need help with?

Step-by-step explanation:

Write the equation of the line that passes through the points (-8, -1) and (5-7).

Answers

Slope: -7-(-1)/5-(-8)= -6/13
Point-Slope: y-(-1)=-6/13(x-(-8))
y+1=-6/13x-48/13
y=-6/13x-61/13

a, = 5 +0.2(n-1)
f(n)

Answers

Answer:

a=4.8

Step-by-step explanation:

may be wrong tho

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

The answer is none I’m pretty sure

Help me asap please!! I'll give brainliest

Answers

Answer:

first one

Step-by-step explanation:

3x2 + x = 2
Solve Real and imaginary solutions

Answers

Answer:

3*2+x=2

6+x=2

subtract 6 on both sides

x= -4

Step-by-step explanation:

True or False? The blue radius is perpendicular to the green chord.

Answers

The statement that the blue radius is perpendicular to the green cord is false

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

Since both lines do not meet at 90 degrees, then they are not perpendicular

Hence, the statement that the blue radius is perpendicular to the green cord is false

Read more about radius and chords at:

https://brainly.com/question/1869643

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