Answer:
The 4 is in the thousandths
The square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14. What are the new dimensions of the pool?
[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]
[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]
The new dimensions of the pool are; Width = 9 and Length = 20.
What is rectangular figure?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.
[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]
The root of the expression;
[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]
The dimensions are;
Width = 3 + s = 9
Length = 14 + s = 20
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Christopher works as a translator of
literature. He gets paid different
amounts for translating articles and for
translating book chapters. In January,
he was paid $340 for translating 3 book
chapters and 2 articles. In February,
he was paid $380 for translating 1 book
chapter and 6 articles. How much is
Christopher paid, in dollars, to translate
each article?
Answer:
50$
Each book is equal to 80 now here's the math
50x2=100 340-100=240/3=80
380-80=300/6=50
This is all coming from a high schooler so I may be wrong however this is pretty basic and if I'm wrong flame me man
please solve f(x)=2x+3
Answer:
-3÷2
Step-by-step explanation:
if you have solving for x
1st step: will be to set up the function =0
so 2x+3=0
then 2x=-3
so x= -3/2
One number is 7more than twice the other number. If the sum of the two numbers is 25, find the two numbers.
Answer:
6 and 19
Step-by-step explanation:
x+2x+7=25
3x=18
x=6
the other number is 19
Ashley has 4 pairs of low-top sneakers, 7 pairs of high-top sneakers, 3 pairs of sandals, and 1 pair of boots. What is the ratio of the pairs of low-top sneakers to the total number of pairs of shoes
The ratio is 4:15
what is ratio?A ratio indicates how many times one number contains another.
Given:
low-top sneakers= 4
high-top sneakers= 7
sandals= 3
boots = 1
Total shoes= 15
Now,
low- top sneakers : totals shoes
=4:15
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Extreme Temperatures. The hottest temperature ever recorded in the United States was 134?F, which occurred at Greenland Ranch, California, in Death Valley on July 10, 1913. The coldest temperature ever recorded in the United States was -80?F, which occurred at Prospect Creek Camp, Alaska, in the Endicott Mountains on January 23, 1971. Determine the difference between these two temperatures.
Answer:
214
Step-by-step explanation:
Calls to a customer service center last on average 1.4 minutes with a standard deviation of 1.7 minutes. An operator in the call center is required to answer 52 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answer:
the expected total amount of time in minutes is 88.4
Step-by-step explanation:
The computation of the expected total amount of time in minutes is given below:
= Standard deviation × needed to answer calls each day
= 1.7 × 52
= 88.4
hence, the expected total amount of time in minutes is 88.4
9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft
Answer:
4,050 cubic feet
Step-by-step explanation:
The figure is made up of a square pyramid and cube
Therefore:
Volume of the figure = volume of the square pyramid + volume of the cube
✔️Volume of the square pyramid = ⅓*a²h
a = 15 ft
h = 9 ft
Volume of square pyramid = ⅓*15²*9 = 675 ft³
✔️Volume of the cube = s³
s = 15 ft
Volume of the cube = 15³ = 3,375 ft³
✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet
Help me with number
4,5,6,7
Answer
number
4.D
5.B
6.C
7.BHopes this help5 + 2x = 13
Solve for x
a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick
Find the scale factor of the height:
6.5cm / 2.5cm = 2.6
Multiply the known pages by the scale factor:
150 x 2.6 = 390 pieces of paper.
Zaiyara had a long strip of ribbon for making crafts. The strip of ribbon had a length of 12.21 inches. Zaiyara needed to cut it into 3 equal pieces. How long would each piece be?
A:9.21 inches
B:6.02 inches
C:15.21 inches
D:4.07 inches
Plss need the answer will mark brain least if correct!
Answer:
D
Step-by-step explanation:
At a park, 80 out of the 200 people there are men. The rest are women.
What percent of the people are women?
Answer: 3/5 of the park population is female, or 60 percent. How? 80:200 can be simplified to 40:100, and this in fraction form is 40/100. We can further simplify it by dividing both by 10 to get 4/10, and then by 2 to get 2/5. 5 - 2 = 3, so 3/5 is the answer.
I hope this helps!
Find the slope of the line that passes through (2, 5) and (9, 1). Simplify.
Answer:
-4/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-5)/(9-2)
m=-4/7
When the football play started,
Tony ran forward 20 yards,
then turned around and ran 5 yards back.
He stood in that spot for 3 seconds,
then walked back to where he began.
a² + b² = c²
a = x
b = x
c = 9√2
please help me find the value of x, asap!
Answer:
x = 9
Step-by-step explanation:
According to Pythagoras theorem a² + b² = c²
Given that
a = x
b = x
c = 9√2
Substitute'
x² + x² = (9√2)²
2x² = 81 * 2
x² = 81
x = √81
x = 9
Hence the value of x is 9
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answer:
24 dollars
Step-by-step explanation:
each pound is $1.60 and 15 times $1.60 equals 24
Answer:
$24
Step-by-step explanation:
5/8=15/x
cross product
8*15=5*x
120=5x
x=120/5
x=24
Ryan wrote a number on his paper. His number rounds to 350 when rounded to the nearest ten. His number rounds to 300 when rounded to the nearest hundred. Enter a number that Ryan could have written.
Answer
342 is one
Step-by-step explanation:
At a baseball game, 87% of people attending were supporting the home team, while
13% were supporting the visiting team. If the total number of people attending the
game was 4400, how many people attending were supporters of the home team?
Answer:
3828 people
Step-by-step explanation:
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
See attachment to get your answer. Thanks.
You pick one tile without looking from a bag that has 2 blue, 3 red, and 5 yellow tiles. Find each probability. Write your answer in simplest form.
Answer:
Blue: 1/5
Red: 3/10
Yellow: 1/2
If quadrillateral has sides that measure 4 in and angles that all measure 90 we can consider the quadrilateral to be
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?
Triangle TUV is dilated by a scale factor of 3/4 to form triangle TUV. Side UV
measures 18. What is the measure of side U'V'?
Someone help me please
Answer:
1440°
Step-by-step explanation:
the formula used for this is (n-2)×180° where n=# of sides in the polygon
An artist is using right triangles in her design. If all the
triangles have an angle measure of 30°, what is the
measure of the third angle?
A) 150
B) 50
C) 60
D) 120
Can someone help with this?!
Answer:
-12r + 8s
Explanation:
Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.