Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is
a 40
b 30
C 20
d 10

Answers

Answer 1
Hello There!!

Given:-

Altitude (AB) = 6cm

Base (BC) = 8cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2} [/tex]

[tex] (\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}[/tex]

Correct Option D= 10cm

Hope this helps

Related Questions

You roll a 6-sided die. What is P(divisor of 12)? Write your answer as a fraction or whole number.​

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.

Answer:

Step-by-step explanation:

5/6

square route of 482930 free brain liest

Answers

Answer:

694.9

Step-by-step explanation:

Answer:

This is your answer 694.931651315437

Have a good day!

The value of y varies directly with x, and y = 18 when x = 12. Find y when x = 60.

Answers

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

→ Here,

y varies directly as x means that y = kxhere value of (k) is not known

by substituting the values of x and y, y = 18 when x = 12

[tex]\rm{y = kx} \\ \\ \rm{18 = 12k} \\ \\ \rm{k = \cancel \frac{18}{12} } \\ \\ \rm{ k = 1.5}[/tex]

Now, substituting value of k nd x in y = kx

x = 132k = 1.5 in y = kx

[tex] \rm{y = (1.5 \times 60 )} \\ \\ \rm{y = 90}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Find the product of (x - 5)2
-
O x2 + 10x + 25
O x2 - 10x + 25
O x2 - 25
-
O x2 + 25

Answers

The product is x2 + 10x + 25 so the first one.


Erik is learning how to make hachapuris. He uses 5 eggs for each hachapuri.
Erik has 12 eggs, and he makes as many hachapuris as he can. How many
hachapuris does Erik make? How many eggs are left?
unters

Answers

Answer:

2

Step-by-step explanation:

he has 12 eggs and each hachapuri needs 5 so for one hachpuri we have 7 then for the second hachapuri we need 5 so we are left with 2 we cant make them anymore so there you go

What is the distance between points A and B?
0-6 units
-1 units
O 5 units
O6 units

Answers

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

What is the distance between two points?

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

To learn more about distance between 2 points click :

https://brainly.com/question/12661159

#SPJ7

At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.05
• B. 0.25
• C. 0.33
• D. 0.15

Answers

Answer: B. 0.25

Step-by-step explanation:

Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.

Been struggling with math lately. I would appreciate it if anyone out there can help me out!

Answers

Answer:

  21°

Step-by-step explanation:

Dilation is a similarity transformation. It does not change angles. It changes lengths proportionally.

∠A'B'C' ≅ ∠ABC = 21°

13tX 9
7. Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $ each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?

Answers

The total number of terra-cotta tiles needed is 220 tiles.

The total number of blue tiles needed is 4428 tiles.

The cost of all the tiles would be  $3,092.60.

What is the total number of tiles needed?

The first step is to determine the area of the entryway and the kitchen.

Area of the entryway = length x width

(22 - 18) x 10 = 40 ft²

Area of the kitchen = 10 x 18 = 180ft²

Sum of the areas of the entryway and the kitchen = 180 + 40 = 220 ft² = 220 tiles

Total cost = 220 x $5 = $1100

Areas of the bathroom floors = (10 x 6) + (7 x 9) = 123ft²

Convert ft² to in²

1 ft² = 144in²

123 x 144 = 17,712 in²

Number of tiles needed = 17,712 / 4 = 4428 tiles

Total cost = 4428 x 0.45 = $1992.60

Total cost = $1992.60 + $1100 = $3,092.60

Here is the complete question:  Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The

terra-cotta tiles cost $5 each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular to this line and passes through the point (2, 3)?

Answers

Step-by-step explanation:

Gradient = y2-y2/x2-x1

= 1-(-2) / 0-(-6)

= 1/2

m1 × m2 = -1

1/2 × m2 = -1

m2 = -2

y= mx+c

(3)=(-2)(2) + c

c=7

°y= -2x +7

Select the correct answer.
Alejandra is packing a bag for a flight. The airline has a baggage welght limit, and Alejandra has already packed her bag with some essentials. All
she has left is her outfits and shoes, which must weigh less than 30 pounds total.
If Alejandra estimates that one outfit welghs two pounds and one pair of shoes welghs three pounds, which graph represents the number of
outfits and shoes that Alejandra can pack while staying under the weight limit?

Answers

3x+2y=30
x=30-2y/3

(10,0),(8,3),(6,6)

Mrs Li's classroom is 34 feet wide and 42 feet long. Objects in classroom Mrs. Li's Desk, Fish Tank, Math Center, or Reading Center. Area of Objects (square feet) 8, 6, 100, or 120. what is the area of the classroom?​

Answers

Answer:

multiply length with breadth which is 34 *42

Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428

If p(x)=x3-1 then find p(1) and P(-1) ​

Answers

Step-by-step explanation:

p(x)=x³-1

p(-1)=(-1)³-1=(-1)-1=(-2)

p(-1)=(-2)

p(1)=(1)³-1=1-1=0

p(1)=0

Find two consecutive positive integers such that the sum of their squares is 761

Answers

Answer:

[tex]19^{2} +20^{2}[/tex] is 761

Step-by-step explanation:

Answer:

19 and 20

Step-by-step explanation:

Let the integers be x and x + 1.

According to the question,

x² + (x + 1)² = 761x² + x² + 2x + 1 = 7612x² + 2x - 760 = 0x² + x - 380 = 0x² + 20x - 19x - 380 = 0x(x + 20) - 19(x + 20) = 0(x - 19)(x + 20) = 0x = 19, -20But x is a positive integer⇒ x = 19

Therefore, the integers are :

x = 19x + 1 = 20

What is the value of z?

Answers

Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag and kept. You then draw a second ball and keep it also. What is the probability of selecting two blue balls

Answers

Answer:

[tex]someone \: needs \: to \: g et \: laid \\ [/tex]

What type of association is seen in the scatter plot.

Answers

Answer:

Girl how do you not know this is the most easiest thing /hj

Step-by-step explanation:

its a linear and strong association bc the dots are very refined and stuck together very well

Which of the following polyhedra have the same volume?
Select each geometry shape which have the same volume.
A.
A hemisphere with a radius of 2 cm.
B.
A sphere with a radius of 14 cm.
C.
A cone with a radius of 2 cm and a height of 4 cm.
D.
A cylinder with a radius of 13 cm and a height of 13 cm.

Answers

Answer:

  A and C

Step-by-step explanation:

We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.

__

A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.

So, the only figures that might have similar volumes are the hemisphere and the cone.

Hemisphere

  V = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³

Cone

  V = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³

__

The hemisphere (A) and the cone (C) have the same volume.

A rectangular lot is 80 yards wide and 125 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.

Answers

Answer:

  70 yards wide and 135 yards long

Step-by-step explanation:

The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.

__

The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.

A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.

_____

Check

Given perimeter: 2(80 +125) = 410 yds.

Modified perimeter: 2(70 +135) = 410 yds. (same)

Given area = 80(125) = 10000 yd².

Modified area: 70(135) = 9450 yd². (smaller)

__

Additional comment

The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.

Which figures below have perpendicular lines?
1
2
3
4
5
6
7

Answers

Answer:

Square, purple triangle, and red arrow

Step-by-step explanation:


Mr. Torres has a class of 17 students. He can spend $24 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $77.35. After buying the calculators, how much does he have left to spend on each student?

Answers

Answer:

She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.

Step-by-step explanation:

Total money to spend= 24*17=408
408-77.35= 330.65
330.65/17=19.45
After buying the calculators, Mr. Torres has $19.45 timo spend on each student.

i will give brainliest

Answers

Answer:

Below

Step-by-step explanation:

Population: 10,000

Sample: 250


Quentin works as a used car salesman, where he earns $8 per hour and an average commission
of $260 per car sold. He wants to earn at least $1040 per week. Write an inequality to represent this scenario, define your variables and explain why you chose them.

Answers

Answer:

Step-by-step explanation:

$8 per hour + average commision $260 per car sold ≥ $1040 per week.

This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.

Which is the graph of the equation y-1=2/3(x-3)

Answers

Answer:

Step-by-step explanation:

$
6
4
No
2+
of
black
tan
gray white
Color
green
orange
O green
O orange
(a) Which color had the fewest T-shirts sold?
black
o tan
O gray O white
How many T-shirts of that color were sold?
T-shirt(s)
(b) How many more gray T-shirts were sold than tan T-shirts?
more T-shirt(s) sold
(C) For how many colors were there fewer than 10 T-shirts sold?
color(s)
Explanation
Check
© 2022 McGraw HIN

Answers

Answer:

a. tan

3 T-shirts

b. 7 - 3 = 4 T-shirts

A distribution has a mean of 70.If 5 points are added to each individual score, the new mean would be

Answers

Answer:

well its free

Step-by-step explanation:

asdasdasdasd

Which of the following shows the Commutative Property of Multiplication?



(3 × 2) × 7 = 3 × (2 × 7)

4 × (5 + 8) = (4 × 5) + (4 × 8)

4 × 5 = 5 × 4

9 × 7 = 63

Answers

Answer:

The options that show the Commutative Property of Multiplication are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)  

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

The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:

Of the options, the ones which show it are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)

In C), on the left side, the first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.

Step-by-step explanation:

-lukelaws

Answer:

(3 × 2) × 7 = 3 × (2 × 7)4 x 5 = 5 x 4

Step-by-step explanation:

These shows the commutative property.

Regardless of which number you group together, the answer remains the same as numbers on each side are identical

Hope it helps~

Which angles are congruent to each other?
314 11
12
109
15
5
13
210 and 212
216 and 26
215 and 27
29 and 214
Submit
X Practice in the app

Answers

The answer is 10 and 12

Solve the inequality: 3 < -5X+2X

Answers

Answer:

Inequality Form:

X< −1

Interval Notation:

(−∞,−1)

Step-by-step explanation:

Answer:

[tex]x < -1[/tex]

Step-by-step explanation:

First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]

PLEASE HELP!! WILL GIVE BRANLIEST

Answers

The equation for this is ; y=1/2(x+4)^2-1

Explain

we use the vertex form
y=a(x-h)^2+k where the vertex is (h,k)

Select ( -4,-1)


Where h=-4
K=-1


y=a(x-h)^2+k

We get

y=a(x-(-4))^2+ -1

Y= a(x+4)^2+-1

Now replace to 0,7

7=a(0+4)^2-1

7=a(4)^2-1

7=16a-1


So now

7=16a-1
7+1=16a

8=16a
a=8/16
That should 1/2

So y=a(x+4)^2 -1
Should become

Y=1/2(x+4)^2 -1



Do you have any doubts now !
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