Answers
Answer:
Step-by-step explanation
c.
What is the length of Hypotenuse?
A. [tex] \sf \sqrt{40\: ft} [/tex]
B. [tex] \sf\sqrt{96\: ft} [/tex]
C. [tex] \sf\sqrt{208\: ft} [/tex]
D. [tex]\sf 20 \: ft[/tex]
E. [tex]\sf 48 \: ft[/tex]
____________________Solution :-Given Information :- Base of Triangle = 12 ftBase² = 12² = 144 ftAltitude of Triangle = 8 ftAltitude² = 8² = 64 ftTo Find :- Hypotenuse of Triangle Formula Used :- Pythagoras Theorem ↓Hypotenuse² = Base² + Altitude²Calculation :-Here, we will substitute the given values in the formula,
⇒ Hypotenuse² = ( 144 + 64 ) ft
⇒ Hypotenuse² = 208 ft
Now transposing the square to Right Hand Side, We get,
⇒ Hypotenuse = [tex] \sf \sqrt{208} \: ft[/tex]
∴ Hypotenuse = [tex] \sf \sqrt{208} \: ft[/tex]
____________________Final Answer :-The Hypotenuse of Right Triangle is [tex] \sf \sqrt{208} \: ft[/tex]
Hence, Option C. [tex] \bf \sqrt{208} \: ft[/tex] is correct answer.
____________________Related Questions
Which statements are true about the following regular polygon? Check all that apply.
A polygon with 6 sides.
All of the interior angles are acute.
All of the interior angles are obtuse.
The sum of the interior angles is 720°.
The polygon can be divided into three triangles.
Each interior angle measures 120°.
The sum of two interior angles have the same measure as a straight angle.
Answers
Answer: B,C, and E 100% on edge 2021
Step-by-step explanation:
sorry for the delayed response xx. Goodluck everyone on your finals.
A charter bus service charges a flat fee of $150, plus $3.50 per mile (one way distance) for a bus. If the band paid exactly $2050 for TWO buses, how far did the band travel?
Answers
Answer:
Number of miles= 250
Step-by-step explanation:
Giving the following information:
Fixed cost= $150
Unitary cost per mile= $3.5
Total cost= $2,050
First, we will establish the total cost formula for ONE bus:
Total cost= 150 + 3.5x
x= number of miles
For two buses:
Total cost= 150*2 + (3.5*2)x
Total cost= 300 + 7x
Replacing the total cost information:
2,050= 300 + 7x
1,750/7 = x
250 =
Number of miles= 250
Ravi borrows $950 from his parents with a simple interest rate of %5. If it takes him 2 years to pay back the money, how much interest will he owe?
Answers
Answer:
he will owe $1,047 in total and $97.37 in interest
Which is greater |-2| or-2
Answers
To Find :
Which is the greater |-2| or -2 .
Solution :
Value of |x| for any value of x ( real number ) is always positive .
[tex]|x| = \left \{ {x , \ for \ x >= 0 \atop { -x, \ for \ x < 0 }} \right.[/tex]
So, |-2| = 2 > -2
Therefore, the value of |-2| is greater than -2 .
Hence, this is the required solution.
At a high school, 9 students volunteer for a committee. How many different 4 -person committees can be chosen?
Answers
Answer:
126 ways
Step-by-step explanation:
Total number of persons = 9
Number of commitees to be chosen = 4
Since, there is no order in the selection process, we use combination.
Choosing a committee of 4 from 9 will be :
9C4.
Recall :
nCr = n! / (n-r)!r!
9C4 = 9! / 5!4!
9C4 = (9*8*7*6) / (4*3*2*1) = 3024 / 24 = 126 ways
In the LifeSmarts event, students compete
Answers
Answer:
in pairs
Step-by-step explanation:
i just took the quiz
HElp Me please i will give brainlist due in 30 MINUTES
Answers
I’m pretty sure the of the x and y thing you do this you see the box with the number in it do this the top two says 2 and 4 the left side is x and the right side is y so you see at the bottom of the number Line thing on the right is a little x that where you start so the box of numbers the fist one says 2 so go to the bottom number line and there is the number two now the top right box with numbers says 4 so go up 4 squares from the number 2 and make a dot where they come together
If ∠I has a measure of 134∘, what is the measure of ∠A?
Answers
Answer:
Are the angles complementary or supplementary?
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 14 ft?
Answers
Answer:
[tex]196\pi[/tex]
Step-by-step explanation:
The question wants you to find the area of a circle with a radius of 14.
The formula for the area of a circle is:
[tex]\pi r^2[/tex] where r is the radius
Plug in r=14
[tex]14^2\pi[/tex]
Simplify
[tex]196\pi[/tex]
At a coffee shop, the first 100 customers'
orders were as follows.
Answers
Answer:
20%
Step-by-step explanation:
you add all the drink orders together for that category. in this situation its going to be cold drinks so you add 8 + 12 + 5 to get 25. then you divide by the drink size that its looking for. in this case its a large so you divide the drink size by the total, 5/25. the answer is 0.2. convert that to a fraction and get 20%
Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how well they bounce. He reaches into the bucket and removes one ball without looking. He hits the ball against the wall, catches it, and then drops it back into the bucket. He repeats this process twice more, each time choosing a ball without looking.
Part A:
What is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?
Answer:
Part B:
If Vikram does not drop the balls back into the bucket after he hits them, what is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?
Answer:
Answers
Answer:
A) 33.3%
B) 50 %
Step-by-step explanation:
A) if there are 3 balls always in the bucket you need to see what one balk represent one ball is 1÷3 which is 0.33 so by knowing that if Vikram drops the ball back into the bucket after the hit there would be a 33 % chance he will chose the same or a different ball in order.
B)if he won't put the ball back in the bucket there will be only 2 balls felt so 1÷2 = 0.5 so there is a 50 % chance of Victor getting the balls in the correct order
How do i find the volume of the prism?
Answers
Answer:
- To find the volume of a prism, you find two prisms that you recognize. Or in simpler terms find two Cubic shapes.
- Find the volume of one prism
- Find the volume of the other
- Add together the volumes
Step-by-step explanation:
note: I dont know if you wanted a explanation or to solve it, so il just but the explanation for you
solve this: -4x-2<=10
Answers
Answer:
x ≥ -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-4x - 2 ≤ 10
Step 2: Solve for x
[Addition Property of Equality] Add 2 on both sides: -4x ≤ 12[Division Property of Equality] Divide -4 on both sides: x ≥ -3Here we see that any number x greater than or equal to -3 would work as a solution to the inequality.
Determine the volume of the rectangular prism.
Answers
Answer:
30/7 x 1/3 = 1 3/7 cm^3
Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Answers
Answer:
(8,-1)
Step-by-step explanation:
The point of intersection can be found out by solving the system of equations.
x + 3y = 5
3x - 2y = 26
Multiply (1) by 3 :-
→ 3 ( x + 3y ) = 5 × 3
→ 3x + 9y = 15
Subtracting 3(1) and 2 :-
→ 3x + 9y - 3x +2y = 15 - 26
→ 11y = -11
→ y = (-1)
Put it in 1 :-
→ x -3 = 5
→ x = 3 + 5
→ x = 8
Hence the point of intersection is (8,-1)Ill put in 15 for this one. Easy.
Answers
Answer: D.
Step-by-step explanation: You can't have 2 y of the same y axis numbers in a function and A isn't correct because it doesn't go in order.
If the hypotenuse is 20 and one of the legs is 12, what is the length of the missing leg?
Answers
Answer:
12 cm
Explanation:
From
Pythagoras Theorem
h
2
=
a
2
+
b
2
where
h =
Length of hypotenuse side
a =
Length of one leg
b =
Length of another leg
(
20 cm
)
2
=
(
16 cm
)
2
+
b
2
b
2
=
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
400 cm
2
−
256 cm
2
b
=
√
144 cm
2
b = 12 cmStep-by-step explanation:
Answer:
16 units
Step-by-step explanation:
For a right triangle, a²+b²=c², where a and b are leg lengths, and c is the hypotenuse. Given one leg length and the hypotenuse, we can find the other leg length by plugging in our given information:
a²+b²=c²
12²+b²=20²
144+b²=400
b²=256
b=16
Therefore, the missing leg length is 16 units.
PLEASE CHECK THE SCREEN SHOT
Answers
Answer:
x=8
y=10
z=9
Step-by-step explanation:
Which of these tables represents a linear function?
Answers
Carlos bought 6.5 pounds of bananas for $5.20. What is the price per pound of the bananas that Carlos bought?
What quantity of bananas would one dollar buy?
Answers
Answer:
Quantity of banana purchase in $1 = 0.8 pound
Step-by-step explanation:
Given:
Cost of 6.5 pound of banana = $5.2
Find:
Price of one pound banana
Quantity of banana purchase in $1
Computation:
Price of one pound banana = 6.5 / 5.2
Price of one pound banana = $1.25
Cost of one pound banana is $1.25
Quantity of banana purchase in $1 = 1 pound / 1.25 dollar
Quantity of banana purchase in $1 = 0.8 pound
plz plz answer this 11 points :)
Answers
Answer:
A: 2.9 x $4.25 = 12.325 or 12.33
B: 1.6 x $5.15 = $8.24
$12.33 + $8.24 = $20.57
Step-by-step explanation:
Flo Rida currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 a dozen to raise money.
Answers
Answer:
8 dozen
Step-by-step explanation:
Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image attached
Answers
Answer:
x = y = 15[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 30[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 15[tex]\sqrt{2}[/tex]
The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so
y = x = 15[tex]\sqrt{2}[/tex]
6. What would be the new coordinates
of point B if it was reflected across the
y-axis?
с
Answers
Answer:
(2, -4)Step-by-step explanation:
The rule for the reflection across the y-axis:
(x, y) → (-x, y)Coordinates of B is (-2, -4)
New coordinates of B:
(-2, -4) → (2, -4)Rule
(x,y)=(-x,y)
So
Old coordinate is (-2,-4)
New one
(-(-2),-4)(2,-4)please help asap!
the problem is in the picture
Answers
Given:
[tex]AB=6\ BC=r,\ CD=r,\ AD=12[/tex].
To find:
The value of r.
Solution:
We have,
[tex]AB=6\ BC=r,\ CD=r,\ AD=12[/tex].
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., [tex]m\angle D=90^\circ[/tex].
Using Pythagoras theorem, we get
[tex]AC^2=AD^2+CD^2[/tex]
[tex](6+r)^2=12^2+r^2[/tex]
[tex]36+12r+r^2=144+r^2[/tex]
[tex]12r=144+r^2-36-r^2[/tex]
On further simplification, we get
[tex]12r=108[/tex]
[tex]r=\dfrac{108}{12}[/tex]
[tex]r=9[/tex]
Therefore, the value of r is 9.
a triangle having no side congruent is called
Answers
Answer:
A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.
Step-by-step explanation:
A triangle having no side congruent is called is called Scalene triangle.
We have a triangle having no side congruent.
We have to identify the name of this triangle.
What is a Triangle ?A triangle is a plane figure with three straight sides and three angles.
According to question, we have -
A triangle with no side congruent. If all the three sides of a triangle are of same length then it is called congruent triangle. It is also called Equilateral triangle. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle.
Hence, a triangle having no side congruent is called is called Scalene triangle.
To solve more questions on Scalene triangle , visit the link below -
https://brainly.com/question/10651823
#SPJ6
Length = 9 in ; width = 7 in ; height 5 in
What’s the volume?
NEED NOW!
Answers
Explanation- v = l * w * h so 9 * 7 * 5
I NEED HELP! I HAVE A TEST TOMORROW AND I NEVER PAYED ATTENTION!!! Whats the variable next to the number?? Like 2c or 6y
Answers
Answer:
It means you multiply the number by that variable.
Step-by-step explanation:
This is used to shorten the equation with a variable. For example, 2c means 2 times c. 6y means 6 times y.
Help me please I need answers
Answers
Answer:
279°
Step-by-step explanation:
100 + 29 + 88 + 62 = 279
49 T
th
47 Pansy opens a savings account. She uses the
equation: y = $25x + $500 to help her keep track
of her savings, where y is the amount of money
in her account and x is the number of weeks.
Which statement is TRUE?
A. Pansy invests $500 per week.
B. Pansy started her savings account with $25.
C. Pansy plans on investing $100 every 4 weeks.
D. Pansy will take $25 per week from her account
ОО
48 The table below shows the results of a survey on
music listening preferences.
Wh
A.
Answers
Answer: D. Pansy will take $25 per week from her account
Step-by-step explanation:
Based on the information given in the question, the true statement is that Pansy will take $25 per week from her account. This is represented by $25x.
For example, if the number of weeks that he used is 8 weeks. The amount in the savings account will be:
y = $25x + $500
y = $25(8) + $500
y = $200 + $500
y = $700