Answer:
512(cm)3
Step-by-step explanation:
Step-by-step explanation:
A crew of highway workers paved 14 mile in 16 hour. If they work at the same rate, how much will they pave in one hour?
HELP PLEASE ASAPPP !!!!!
Given: triangle NOP is similar to triangle WXY
We know that NOP has a base length of 4 while triangle WXY has a base length of 10
10 / 4 = 2.5
The scale factor = 2.5
We also know that all similar triangles have congruent angles
The measure of angle X on triangle WXY = 58 degrees because its corresponding angle on triangle NOP = 58 degrees.
We know that all the angles of a triangle add up to 180.
The measure of angle P for triangle NOP is:
180 - (49 + 58) = 73 degrees. This means that the measure of angle Y for triangle WXY is also 73 degrees.
We know that the scale factor = 2.5 so 12 / 2.5 = 4.8
NP / WY = 12 / 4.8 = 2.5
The length of WX = 6 * 2.5 = 15
The length of NP = WY / 2.5 = 12 / 2.5 = 4.8
The scale factor of triangle NOP to triangle WXY is 2/5 =0.4.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, ΔNOP∼ΔWXY
NO/WX =OP/XY =NP/WY
6/WX =4/10 =NP/12
a) The scale factor is 4/10 =2/5
b) m∠X=58
c) m∠Y=
m∠N+m∠O+m∠P
=49°+58°+m∠P=180°
107°+m∠P=180°
m∠P=73°
So, m∠Y=73°
d. 6/WX =4/10 =NP/12
4/10 =NP/12
2/5=NP/12
NP=24/5
NP=4.8
So, NP/WY =4.8/12
e) WX
6/WX =4/10
60=4WX
WX=60/4
WX=15
f) NP
4/10 =NP/12
2/5=NP/12
NP=24/5
NP=4.8
Therefore, the scale factor of triangle NOP to triangle WXY is 2/5 =0.4.
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Donovan is buying plates and cups for a party do you want to same number of each plate or solid in packs of 8 cups are sold in packs of 12 what is the least number of plates and cups that Donovan can buy
Answer:
the awnser is 4
Step-by-step explanation:
Please Help Me Solve I’m In Middle School!!!
Find the distance between A (-3,
- 4) and B (5. – 10).
Answer:
16.13
Step-by-step explanation:
Sorry!! if I am wrong....
Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in 25 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself? I’ve tried multiple problems like this but I keep getting them wrong, please help.
Answer:
140 minutesStep-by-step explanation:
this problem focuses on the combined work rate
both can finish the work under 63 minute
let bobby mow the lawn in x minute
Billy will then mow the lawn in x-25 minutes
Let the completed job = 1 (a mowed lawn)
we can now apply the combined work formula for the two boys as
[tex]\frac{63}{x}+\frac{63}{x-25}=1[/tex]
multiplying through by x(x-25 )we have
[tex]63(x-25)+63x= x(x-25)[/tex]
open bracket we have
[tex]63x-1575+63x= x^2-25x[/tex]
rearranging and collecting like terms we have
[tex]0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0[/tex]
we can now use the quadractic formula
[tex]x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}[/tex]
a= 1
b= -151
c= 1575
[tex]x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}[/tex]
[tex]x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\[/tex]
[tex]x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27[/tex]
the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time
let us check
[tex]\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1[/tex]
we can see that the solution approximates to 1
I need help with this question
Answer:
D
Step-by-step explanation:
solve 2n + 3n + 7 = -41 in variable
Answer: N=-9.6
Step-by-step explanation: Please mark me brainliest
Write an expression to show
seven less than the product of five and eight
Answer:
(5*8)-7
Step-by-step explanation:
Answer:
(5*8)-7
Step-by-step explanation:
On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the probability that you are correct? a. 1 b. 7 c. 1/7 d. 0
Answer:
c (1/7)
Step-by-step explanation:
Simplify each expression . Justify each step . (6^7) (5^3 +2) (2- 2)
Answer:
0
Step-by-step explanation:
Start with exponents inside parentheses
(279936)(125+2)(2-2)
Then solve inside parenthesis
(279936)(127)(0)
Then Multiply
0
Anything times zero is zero
Put these numbers in order from least to greatest.
-1, 21/28, -22/25
Answer:
-22/55,-1,21/28
Step-by-step explanation:
Answer:
-1, -22/25,21/28
Step-by-step explanation:
21/28 is positive so its the greatest
-22/25 is greater then one so its in the middle
and -1 is the least
Brainliest helps
If point P(2,-4) is reflected over the x-axis, determine coordinates of the image
Answer:
it would most likely be positive (2,4)
Step-by-step explanation:
I need help thank you
Answer:
Dilation factor is 2 (two)
Step-by-step explanation:
The dilation factor that maps one triangle ABC to its image A'B'C' can be obtained by finding the relationship between the x and y coordinates of each image point to the original:
A' = (6, 2) when A is (3, 1)
We observe a factor of 2 in the two coordinates.
B' = (-4, 4) when B is (-2, 2) Also a factor of 2 (two)
Same for point C.
Choose the equivalent ratio for 6:7
a
36:42
b
42 to 36
c
3:4
d
2:18
Sorry for the late answer, but it's A.
Explanation 6 times 6 equals 36, and 7 times 6 equals 42.
Brainiest?
Can a function have more than one Relative Maximum or Minimum?
Explain in detail.
Hamid has gained weight. He now weights 88kg, which is 10% higher than his normal weight. What is Hamids normal weight
Let his normal weight = 100%
He is 10% more so he is 110%
Divide his weight now by 110% to find his normal weight.
88/1.1 = 80
His normal weight is 80 kg
61.8 X 1.7
Help quickly please!!
Answer:
990.6
Step-by-step explanation:
61.8×17=9906 and since there is two number in the decimal point we put the decimal point in after the number 06
so it is......99.06
it takes 1 cup of liquid fertilizer to make 7 1/2 gallons of spray. how much liquid fertilizer is needed to make 80 gallons of spray?
There are 35 boys in band and 49 girls in band. Ryan says that the ratio of 10 poi boys to girls is 5 to 7. Which statement is true?
A He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
B. He is wrong because the ratio of 5 to 7 is smaller than the ratio 35 to 49.
C. He is right because 35 and 49 are larger numbers than 5 and 7.
D. He is wrong because 35 and 49 are larger numbers than 5 and 7.
Answer:
A. He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
Step-by-step explanation:
Explained in the answer.
Please help me please help me!
Step-by-step explanation:
D=360-20-25-80=235
x=360-235=125
Answer:
BDC + ABD +ACD + BAC = 360
80 + 20 + 25 + BDC = 360
BDC + 125 = 360
BDC = 360-125
BDC = 235
Now,
BDC + x = 360
235 + x= 360
x = 360-235
x = 125
which inequality represents the following situation 3/5×5 less than a number is no more than 27
Answer:
Step-by-step explanation:
Write 2,000,000 + 70,000 + 5,000 + 40 + 6 in word form?
Answer:
You can add the numbers or count according to the number of zeroes present in the expanded form and write the digits down.
2075046
Answer:
Step-by-step explanation:
two million seventy five thousand forty-six
The set of ordered pairs (-1, 8), (0, 3), (1, -2), and (2. -7) represent a function. What is the range of the function?
{x x=-1, 0, 1, 2}
fy: y=-7, -2, 3, 8}
{x: x= -7, -2,-1, 0, 1, 2, 3, 8}
{y: y = -7, -2,-1, 0, 1, 2, 3, 8}
Answer:
B
Step-by-step explanation:
got it right on edg
Answer:
B
Step-by-step explanation:
Just got it correct on Edge!!!!!
A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2? How do you know?
Answer: 0.5 meters because m=meters and meters/2 = 0.5
The required measure of the angle m∠2 is 138°.
Given that,
A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2 is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
According to the question,
Let the measure be x,
Now the bicycle path divides the rectangular park,
So,
m∠1 + m∠2 = 180
42 + x =180
x = 180 - 42
x = 138°
Thus, the required measure of the angle m∠2 is 138°.
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The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 150 orders will be used to estimate the proportion of first-time customers.Required:a. Assume that the president is correct and p = 0.30. What is the sampling distribution of p bar for this study?b. What is the probability that the sample proportion p bar will be between 0.20 and 0.40?c. What is the probability that the sample proportion will be between 0.25 and 0.35?
Answer:
Step-by-step explanation:
p = .3
n = 150
p(bar ) = 1 - p = .7
[tex]\sigma_p=\sqrt\frac{p(1-p) }{n} }[/tex]
[tex]\sigma_p=\sqrt\frac{.3(1-.3) }{150} }[/tex]
=.037
b )
P ( .2 <p<.4 ) = P [ (.2 - .3) / .037 < z < ( .4 - .3 ) / .037 ]
= P [ (-2.7 < z < +2.7 ]
= .9965-.0035
= .993
c )
P ( .25 <p<.35 ) = P [ (.25 - .3) / .037 < z < ( .35 - .3 ) / .037 ]
= P [ (-1.35 < z < +1.35 ]
= .9115 - .0885
= .823
A suit is on sale 32% off. The sale price is $221
Answer:
are you trying to get the discount amount? or the discount off the $221 if so
$221 x .32 = $70.72 discount amount off the sale price $221 which would make the final price $150.28
Step-by-step explanation:
A gambler plays roulette 100 times betting $1 on two numbers, 7 and 11, each time. If the ball lands on either 7 or 11 then gambler wins $17, if the ball lands on any of the other 36 numbers the gambler loses $1. The roulette wheel has 38 slots numbered 1-36, 0, and 00 a) Which is the appropriate box model? 1. The box has 38 tickets: 1 marked "7" and 1 marked "11" and the rest marked 2. The box has 38 tickets: one each of 1,2,3,...36,0, and 00 3. The box has 38 tickets: 2 marked "17" and 36 marked 4. The box has 38 tickets:2 marked "17" and 36 marked "-1"
Evaluate the expression:
(4 * 5)2 – 6 + 3 = (pls help)
What is the equation that represents the scenario?
O y = x + 5
O y = 5x
O y = 3x
O y = x + 15
Answer:y=5x
Step-by-step explanation:
B
Answer:
B. y=5xHave a good day! :) :) :)