Answers
Answer:
r = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² = PQ² + QR² , substitute values
(r + 4)² = r² + 8²
r² + 8r + 16 = r² + 64 ( subtract r² from both sides )
8r + 16 = 64 ( subtract 16 from both sides )
8r = 48 ( divide both sides by 8 )
r = 6
Related Questions
h (t) = -16t^2 + 144
Answers
Answer:
-16 (t+3) (t-3)
Step-by-step explanation:
For the lengths AB, BC, and AC to equal 19, 12, and 31 respectively, what is
the value of x?
Answers
Answer:
11.
Step-by-step explanation:
A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
Answers
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?
Answers
In a town of 40,000 people, it is expected 41.9% will watch the Súper bowl. How many people in the town will watch the Súper bowl
Answers
Answer:
16,7600
Step-by-step explanation:
Which modified box plot represents the data set?
54, 70, 72, 74, 75, 76, 77, 81, 84, 105
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 60 to 89.25 with the vertical bar inside the box at 71.5.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 66 to 89.25 with the vertical bar inside the box at 75.5.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 65 to 84. The box ranges from 70 to 78.5 with the vertical bar inside the box at 74. One dot marks above fifty-four. One dot marks above one hundred and five.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 70 to 84. The box ranges from 71.5 to 81 with the vertical bar inside the box at 75.5. One dot marks above fifty-four. One dot marks above one hundred and five.
Answers
Answer:
Step-by-step explanation:
box number two
Plz help me out thanks
Answers
Answer:
360 cubic units
Step-by-step explanation:
height = 4 units
length = 10 units
breadth = 6 units
Volume of a cuboid = l × b × h
V = 10 × 6 × 4
V = 10 × 24
V = 240 cubic units
Now a scale factor of 1.5 units is applied to the dimensions,
new volume = 240 × 1.5 = 360
∴ New volume of the prism = 360 cubic units
Answer:
240 cubic units
Step-by-step explanation:
HELP ASAP!!!!!! AND NO LINKS!!! The Utah Bees discounts tickets 30% for students 14 or younger. If adult tickets cost $23, how much will a student ticket cost after being discounted? Round to the nearest cent if necessary.
Answers
Answer:
$6.90
Step-by-step explanation:
30/100 = x/23
100x = 690
x= $6.90
A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble? 3/32 3/28 1/4
Answers
Answer:
red
Step-by-step explanation:
sorry for the bad quality! please tell me what to fill in... thank you!
Answers
Answer: Part A: 3 (yards per second) Part B: 20 (seconds)
Step-by-step explanation:
See answer above :)
Which expression represent the product of x3 + 2x - 1 and x4 - x3 + 3
Answers
Answer:
x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
Step-by-step explanation:
(x3 + 2x - 1) (x4 - x3 + 3)
= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3
= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
The expression represents the product [tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]
We have given that,
[tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
[/tex][tex](x^3 + 2x - 1) (x^4 - x^3 + 3)[/tex]
What is the expression?The expression consists of numbers and arithmetic operators.
It does not contain equality or inequality symbols.
The expression consists of unknown variables.
The expression represent the product of [tex]x^3 + 2x - 1[/tex]and [tex]x^4 - x3 + 3[/tex][tex]= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3[/tex][tex]= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]
Therefore, The expression represents the product [tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]
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giving brainliest! show some work too tysm !
Answers
Answer:
the third choice is the answer.
Step-by-step explanation:
the chance of recieve a blue pen
= 0.008
the chance of recieve a blue tote bag
= 0.04
0.008 < 0.04
Answer is you know the correct answer. G o o g l e forms!
Answers
Step-by-step explanation:
I think
volume = area of the base × the height
[1/2×(2+2)×6] × 8
= 1/2×24×8
= 24×4
= 96 ft³
Answer:
180 ft³
Step-by-step explanation:
Total volume = base rectangular prism + top triangular prism
v = 6 * 8 * 2 + 1/2 (6 * 8 * (5.5 - 2))
v = 96 + 84 = 180
Plz help me!!!
Philip rolls a standard number cube
24 times. Which is the best prediction for
the number of times he will roll a number
that is even and less than 4?
A 2
B 3
C 4
D 6
Answers
Answer:
i guess the correct answer is A. 2
Which expression is equivalent to the number 144?
A. 23.32
B. 23.33
C. 24.32
D. 24.36
Answers
Answer:
d
Step-by-step explanation:
Which of the following options represents the advantage of making a purchase with cash instead of a credit card?
1.The cash payment does not include interest fees.
2.If you don’t have enough money at the time you can still make the purchase.
3.You will worry less if the cash is stolen because the bank will give you your stolen cash back.
4.Cash can be used to make an electronic payment.
Answers
Answer: Its number 1 because with credit card a cash payment does have fees and with cash no.
Step-by-step explanation:
PLEASE HELP I WILL GAVE BRAINIEST. How much people scored at least four goals?
Answers
Can you help please, ASAP?
Answers
R: -1,4
S: 0,2
Find the area of the trapezoid
Answers
Answer:
1. 54ft^2 2. 48ft^2
Step-by-step explanation:
1. A=1/2h(a+b)
A= 1/2x6(10+8)
A=54
2. A=1/2x6(12+4
A=48
PLZZZ HELP ITS DUE AT 1:45
Answers
Answer:
a= 10 b= -13 c= -3
Step-by-step explanation:
First, you multiply 5x+1 and 2x-3
You then end up with 10x^2-13x-3 which is in ax^2+bx+c form
So, a would be 10, b would be -13, and c would be -3.
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
x = 112
Step-by-step explanation:
1/8x + 2 = 16
Subtract 2 from both sides
1/8x = 14
Multiply both sides by 8
x = 112
Ethan volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday 359 people went to The Youth Wing, 440 people went to Social Issues, and 417 went to Fiction and Literature. On Sunday, the library had 900 total visitors. Based on what Ethan had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
Answers
Answer:
326
359 + 440 + 417 = 1216
(440/1216) × 900 = 326
Answer:
258
Step-by-step explanation:
i got the answer wrong so it told me the answer was 258
Aneeta bought 3 3/4 kg apples and 4 1/2 kg guava. What is the total weight of fruits purchased by her?
Answers
Answer:
8.25 kg
Step-by-step explanation:
Given that,
Weight of Apples = 3 3/4 kg
Weight of guava = 4 1/2 kg
Total weight of fruits = weight of apples + weight of guava
[tex]=3\dfrac{3}{4}+4\dfrac{1}{2}\\\\=\dfrac{15}{4}+\dfrac{9}{2}\\\\=8.25\ kg[/tex]
So, the total weight is equal to 8.25 kg.
I need help : (((((((
Answers
the answer is x=-1/3
Please help me with this... figure out the missing part.
Answers
If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?
Answers
Answer:
0
Step-by-step explanation:
the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail
It cannot be none
Therefore...Probability is 0 of getting 0 heads
plz mark as brainliest
thanks
reduse this fractions 4/8 and 6/10
Answers
Answer:
1/2 and 3/5
Step-by-step explanation:
I dunno how to explain this, but I hope it helps!
Can someone help me find the missing side and round to the nearest tenth please
Answers
Answer:
7.7
Step-by-step explanation:
SOH CAH TOA(tangent = opposite side/adjacent side)
tan (55°) = 11/x
=> x = 11/tan (55°)
=> x ≈ 7.7
A loaded truck travels 14 km in 25 minutes. If the speed
remains the same, how far can it travel in 5 hours?
Answers
Answer:
Given that truck covers 14km in 25 minutes. Answer: In 5 hours distance travelled = 5(60)(14)/25 = 168 km.
Step-by-step explanation:
brainliest?
simplify
rewrite the expression in the form a^n