Answer:
1.7 cm
Step-by-step explanation:
The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.
1) Substitute the values into the formula.
[tex]2^{2} = 1^{2} +b^{2}[/tex]
2) Solve for [tex]b[/tex].
[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]
3) Round the answer to the nearest tenth.
[tex]1.7 = b[/tex]
There is a map of the world on the wall in
Mr. Smith's classroom. The scale on the
map
lists 1 inch to 400 miles. On his map,
Mr. Smith measured 13 inches between the
United States and Europe. How many
miles is the distance from the
United States to Europe?
[? ] miles
The distance from the United States to Europe is 5200miles.
We have given that the,
There is a map of the world on the wall in Mr. Smith's classroom.
The scale on the map
lists 1 inch to 400 miles.
On his map, Mr. Smith measured 13 inches between the United States and Europe.
What is the value of one inch?
The value of one inch is 400 miles.
We have to determine the 13 inches in miles
We have given that
1inch=400miles
Therefore multiply both side by 13 so we get
13inches=13(400)miles
=5200miles
Therefore we get, the distance from the United States to Europe is 5200miles.
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Answer:
5200
Step-by-step explanation:
If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:
Distance in miles = Number of inches * Scale
Distance in miles = 13 inches * 400 miles/inch
Distance in miles = 5200 miles
Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.
A: y=6n+ 4 When n =5
B: y=45-(9n+7) When n = 2
Answer:
A=34 B=20
Step-by-step explanation:
A: y=6(5)+4 (34)
B: y=45-(9(2)+7)
y= 45-(18+7)
y=45-25 (20)
If y varies directly with x and
y=15 when x is 9, what is x when
y=30?
Answer:
x = 18
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 15 when x = 9 , then
15 = 9x ( divide both sides by 9 )
[tex]\frac{15}{9}[/tex] = x , that is
x = [tex]\frac{5}{3}[/tex]
y = [tex]\frac{5}{3}[/tex] x ← equation of variation
when y = 30 , then
30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
90 = 5x ( divide both sides by 5 )
18 = x
The circumference of a compact disc is 28.26 centimeters. What is the radius?
Please help
Answer:
The radius is 4.5cm.
Step-by-step explanation:
Circumference is the distance around the outside of a circle, the perimeter of the circle. Circumference formula is:
C = pi•d OR
C = 2•pi•r
Since we are looking for radius, use the second formula.
C = 2•pi•r
28.26 = 2pi•r
Divide by 2pi.
28.26/2pi = r
r = 4.5
The radius is 4.5 cm.
Which expression is equivalent to (8x+6)+(10x−30)?
18(x−24)
9(2x−24)n
18x−3618
6(3x−4)
1=10^0 into logarithmic form
Answer:
[tex]0 = log_{10} 1[/tex]
Step-by-step explanation:
Base for the exponent and for the logarithm are the same!
10^0 is the exponential form where 10 is the base and 0 the exponent
[tex]log_{10} 1[/tex] is the logarithm form where 10 is the base
To solve [tex]log_{10} 1 =[/tex] ask the question :
To what power should I raise the base 10 to obtain the number 1 ?
The answer to the power 0 therefore
[tex]log_{10} 1 = 0[/tex]
[tex]1 = 10^{0} -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form[/tex]
14 1/2 - 2 1/3 what is the answer to this equation?
Answer:
12 1/6
It wants me to add more but there's nothing to add
A little more help???
Answer:
12.7
Step-by-step explanation:
9^2+9^2=162
square root of 162 equals roughly 12.7
Use the pythagorean theorem
A school has 124 students who want to take a new computer class.
Each class can have a maximum of 18 students. Which inequality could
be used to determine how many classes, c, need to be scheduled so
that all students can take the class?
How do I solve and what is the answer
Answer:
Step-by-step explanation:
the 2nd and 4th answers look good. the 1st answer is correct as well.
To solve this look at the x axis and y axis, the x axis is in inches, the y axis is in pounds. So you know that as the distance increase per inch, the force in pounds is increasing too.
so the force applied is going up, 0.73 pounds , for each inch of travel ( or stretch) of the spring.
50 points
enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x - 2.6).
Answer:
c = -13.78.
Step-by-step explanation:
21.2x + c ≡ 5.3(4x - 2.6)
21.2x + c ≡ 21.2x - 13.78
Equating constant terms:
c = -13.78.
Answer:
13.78
Step-by-step explanation:
21.2x + c = 5.3(4x - 2.6)
open the bracket
21.2x + c = 21.2x - 13.78
collect like terms
c + 13.78 = 21.2x - 21.2x
c + 13.78 = 0
c = -13.78
factor the polynomial
72a^5b^3c - 32a^3b^2c^2
Answer:
8a³b²c(9a²b - 4c)
Step-by-step explanation:
The GCF of 72 and 32 is 8.
72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)
Use the quadratic formula to solve for x.
Find the surface area of the cone in terms of pi. 15cm 3cm
Answer:
The surface area of cone = 54π cm²
Step-by-step explanation:
Given ;
Radius = 3 cm
slant height = 15cm
The surface area of cone = πr ( r + l )
=> π × 3 ( 3 + 15)
=> π × 3 ( 18)
=> 54 π cm²
Answer:
Option a
Explanation :
check out my attached work
Hope it helps, let me know if you have any questions !
Have a nice rest of your day :)
Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20.00?
Answer:
she should get in change $5.55
The graph of a function is shown on the grid.
Answer:
y-intercept = (-2,0)
Step-by-step explanation:
the "C" is the answer
please please please help me with these four questions! giving brainly!!
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points ( − 5 , 6 ) and(−9,−6)? Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1 so put you numbers in and you get
-6-6/-9+5
-12/4
and then -3
Answer:
-3
Step-by-step explanation:
[tex]y=mx+b[/tex] is equation of a straight line.
Here, the slope is m.
[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]
The value of Betty's car decreased from $22,000 to $18,700. What is the percent decrease in Betty's car?
Answer:
Step-by-step explanation:
22000-18700=3300
3300/22000x100=15%
Answer:
It is a 15 percent decrease
Step-by-step explanation:
Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.
What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? SHow your reasoning.
Answer:
27/2 in^3 or 13.5 in^3 as a mixed fraction
Step-by-step explanation:
V=whl
Simplify the following:
(1 + 1/2) (2 + 1/4)×4
Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:
(2/2 + 1/2) (2 + 1/4)×4
2/2 + 1/2 = (2 + 1)/2:
((2 + 1)/2) (2 + 1/4)×4
2 + 1 = 3:
3/2 (2 + 1/4)×4
Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:
(3×4)/2 ((4×2)/4 + 1/4)
4×2 = 8:
(3 (8/4 + 1/4)×4)/2
8/4 + 1/4 = (8 + 1)/4:
(3×4)/2 ((8 + 1)/4)
8 + 1 = 9:
3/2×9/4×4
3/2×9/4×4 = (3×9×4)/(2×4):
(3×9×4)/(2×4)
(3×9×4)/(2×4) = 4/4×(3×9)/2 = (3×9)/2:
(3×9)/2
3×9 = 27:
Answer: 27/2 or 13.5 as a mixed fraction
The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2
The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.
The total surface area of a rectangular prism is given by the formula,
Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]
Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,
[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]
[tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]
Hence, the total surface area of the rectangular prism is 203.2 units².
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hello thee please solve my question
Find the value of x and y
If
5x+10y=55
4x-12y=10
Answer:
It is attached
Step-by-step explanation:
Which shows the terms of the series? 4 12 48 192 4 12 36 3 12 48 192 3 12 48
The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
What is summation?In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.
Now we have a given term
[tex]\sum_{n=1}^{4} 3(4)^{n-1}[/tex]
By solving the above term;
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}[/tex]
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3[/tex]
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192[/tex]
Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
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Answer:
1. 3 + 12 +48 + 192
2. 255 edge
Step-by-step explanation:
HELPL ME PLEASE I HAVE THE IMAGE READ IT !!!!!
Answer:
494
Step-by-step explanation:
931-437=494 :)
Andy said that any shape with more than three sides or angles has the same number of lines of symmetry. Is this true or false?
Step-by-step explanation:
How to solve 12 1/2 x 4 in area model?
Hey there!
12 1/2 * 4
= 12 1/2 * 4/1
= 12 * 2 + 1 / 2 * 4/1
= 24 + 1 / 2 * 4/1
= 25/2 * 4/1
= 25(4) / 2(1)
= 100 / 2
= 100 ÷ 2 / 2 ÷ 2
= 50 / 1
= 50
EASIER UNDERSTANDING….
= 25 + 25 + 25 + 25 / 2 + 0
= 50 + 50 / 2 + 0
= 100 / 2
= 100 ÷ 2
= 50
Therefore, your answer is: 50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the answer to 25% of 50
Answer:
12.5
Step-by-step explanation:
.25 x 50= 12.5
what is the number for x
5= x over 6
Answer:
x=30
Step-by-step explanation:
5=x/6
30=x
Please help! Will mark brainlyest.
Answer:
It would be the last one
Step-by-step explanation:
What percent of the buildings are no taller than 345 meters?
Answer:
the answer is 75%
each dot represents 25% of the data
Below 345 meters are 3 points
so, 3 * 25% = 75%