The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.
Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Work out the probability that the spinner will land on 3
Answer:
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pls help and neatly show work !!
Answer:
see explanation
Step-by-step explanation:
The zeros of the graph are x = - 4 and x = 2 , then the factors are
(x + 4)(x - 2) and
y = a(x + 4)(x - 2) ← a is a multiplier
To find a use any other point on the graph and substitute into the equation
Using (0, - 8 ) , then
- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )
1 = a
y = (x + 4)(x - 2) = x² + 2x - 8
with b = 2 and c = - 8
The graph is increasing from the turning point ( vertex) to the right
vertex = (- 1, - 9 )
Increasing in the interval [- 1, ∞ )
Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?
Answer:
15/2 miles/hour
Step-by-step explanation:
this is the .answer in the pic
A ball is thrown into the air with an upward velocity of 28ft/s. Its height h in feet after t seconds is given by the function h = -16t^2 + 28t + 8
Answer:
In bold below.
Step-by-step explanation:
Find derivative which gives the velocity:
V = h' = -32t + 28
At maxm height V = 0 so
-32t + 28 = 0
Time to reach maxm height t = -28/-32 = 0.875 seconds.
So maxm height
= -16(0.875)^2 + 28*0.875 + 8
= 20.25 ft.
what is 4 minus 7 plus 9 =8
Answer: 15
Step-by-step explanation:
4-7+9=8
+7 +7
4+9=15
15=15
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points (-5, 8) and (-11, 8)
Find the surface area of the come in terms of pi
Answer:
1157.91 or rounded 1157.9 or 1158
Step-by-step explanation:
π • r^2 • (h/3)
π • 10^2 • 11/3
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Answer:
Step-by-step explanation:
The cylinder on the right, its volume = 9 bi * 10 = 90 bi
The volume of the left cylinder = 9 bi * 10 = 90 bi
They are equal because the radius and length of 2 cylinders are equal
Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)
Answer: y= -3(x+4)
Step-by-step explanation:
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50
Answer:
Its D hope this help byee
Answer:
It is D I got this correct on the test.
Step-by-step explanation:
I need help please!!
HELP ASAP!!!! Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?
Answer:
6
Step-by-step explanation:
3/4
1 1/2
2 1/4
3
3 3/4
4 1/2
Sorry if this doesn't make sense, I hope I helped though!
PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME
HELP ME PLEASE find EC
Answer:
12
Step-by-step explanation:
if only EC is a diameter and DO is a radius
Help, please! I want to finish this last quarter good or I may get kicked out. Thank you!!
13 Find the surface area of the cylinder. Round to the
15.in
19 in.
Not drawn to scale
A 1791 in.
B. 11281 in.
C3204 in
D. 5815 in.
2
Please help I’m doing a test and it’s being timed
OK YA I NEED HELP PLS
Answer:
HI
Step-by-step explanation:
hihihihihihihihihihihi
calculate the following -50(20-25)+30(-10+7)-20(+16+12)
Answer:
-400
Step-by-step explanation:
helpp nowww i will give branliest
Answer:
Z
Step-by-step explanation:
Y axis is the line thats up and down
Answer: Z
Step-by-step explanation: pls if im correct give me brainliest, if not correct give it to some one else
The range of a data set is 14. If the smallest number in the set is 24.
What is the largest number?
In ⊙Q, mJK=180° and mLM=116°. What is m∠1?
Answer:
64degrees
Step-by-step explanation:
From the given diagram;
m<LK = 180degrees
m<LM = 116degrees
Required
m<1
Since <1 and <LM lies on the same straight line, hence;
m<1 + m<LM = 180
m<1 + 116 = 180
m<1 = 180 - 116
m<1 = 64degrees
Hence the measure of m<1 is 64degrees
Answer: 32
Step-by-step explanation:
2a+180+116=360
2a=64
a=32
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Answer:
angle bcf = 113 degrees :)
Step-by-step explanation:
angle bca and angle dcf equal 134 in total
360-134= 226
226/2=113
Answer:
113
Step-by-step explanation:
Remark
<BCA and <BCF are on the same straight line. That means when added, they equal 180 degrees.
Givens
<BCA = 67
Two Parallel lines
1 Transversal
Solution
<BCA + < BCF = 180
67 + <BCF = 180
<BCF = 180 - 67
<BCF = 113
When graphing c=12, would you use an closed circle or opened circle?
Answer:
closed
Step-by-step explanation:
because its = not -< or>-
can some one answer my question i put up plz and ill mark you the b and give you 50 points
Answer:
what is your question
Step-by-step explanation:
Hey please help me this is an Angle sum theorem!!!
Answer:
900° and 1260°
Step-by-step explanation:
The sum of the interior angles of a polygon is calculated as
sum = 180° (n - 2) ← n is the number of sides
(2)
Here n = 7 , then
sum = 180° × 5 = 900°
(3)
Here n = 9 , then
sum = 180° × 7 = 1260°
Brainlyist for the right answer
Answer:
it is C.
Step-by-step explanation:
just trust me.
Answer:
she is right it's C
Step-by-step explanation:
Have a good Day! :)
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Answer:
Step-by-step explanation:
In ecosystems, matter and energy are transferred from one form to another. Matter refers to all of the living and nonliving things in that environment. Nutrients and living matter are passed from producers to consumers, then broken down by decomposers. Decomposers break down dead plant and animal matter.
Find the value of x.
10
11
12
13
Answer:
11=x
Step-by-step explanation:
solve for x
your answer must be simplified
[tex] \frac{x }{ - 9} \geqslant 3[/tex]
Answer:
x ≤ -27
Step-by-step explanation:
multiply each side by -9
when multiplying or dividing an inequality by a negative value you must reverse the inequality symbol