The scale from the drawing to the actual ramp is 2cm to 12in. What is the area of the actual side of the ramp?
Answers
The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.
Scale used to convert the dimensions from drawing to actual is,
2 cm : 12 in
Height of the ramp in a skateboard park = 2 cm
Therefore, actual height 'x' of the ramp will be,
[tex]\frac{2}{12}=\frac{2}{x}[/tex]
x = 12 inches
Since, measure of the base of the ramp = 8 cm
Length of the base 'y' of the actual ramp will be,
[tex]\frac{2}{12}=\frac{8}{y}[/tex]
y = [tex]\frac{8\times 12}{2}[/tex]
y = 48 inches
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(48)(2)[/tex]
= 48 square inches
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Related Questions
Ann went to the store after school 5 days this week. Each day, she bought a sandwich and a comic book. She spent a total $50 of at the store this week. She paid $2 for each sandwich. How much did she pay for each comic book? (Assume she paid the same for each comic book.)
Answers
In total 5 days, she has paid: 5 x $2 = $10 for the sandwiches
In total 5 days, she has paid: $50 - $10 = $40 for the comics
So, she paid: $40 / 5 = $8 for each comic
If helpful, brainliest please !
A manufacturer determines that the cost of making a computer component is $3.171717. Write the cost as a fraction and as a mixed number.
Answers
Answer:
Step-by-step explanation:
100y = 317.17171717171717 ....
y = 3.17171717171717 .... subtract
99y = 314
The cost = 314 / 99
Or
The cost = 3 17/99
2.
Evaluate the function rule for the given value. f(x) = 5^x for x = 2
A. 25
B. 10
C. 32
D. 5
Answers
[tex]f(x) = {5}^{x} \\ \\ f(2) = {5}^{2} = 5 \times 5 = 25[/tex]
Answer: A)
What is the sum of mza+ m2b+ m2c?
Select the best answer from the choices provided.
A.245°
B.252°
C.360°
D.540°
Answers
B= 180-43=137
C=180-72=108
115+137+108 = 360
Or triangle supplementary angles
So the outer angle is 360
What is p of 11=8-6p-3
Answers
11=8-6p-3
11-5-6p
The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _
Answers
Answer:
[tex](\frac{-5}{2} ,-1)[/tex]
Step-by-step explanation:
(-2 + -3)/2 , (-10+8)/2
-5/2,-1
elena bikes 20 minutes each day for exercise write and equation to describe the relationship between her distance in miles d and her biking speed in miles per hour when she bikes at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes
Answers
The equation to describe the relationship between Elena distance:
a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.
Solution:
Given, Elena bikes 20 minutes each day for exercise.
We have to write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour,
We know that, distance travelled = speed time
a. At a constant speed of 13 miles per hour for the entire 20 minutes
Her speed is 13 miles per hour.
Then, distance D miles = 13 miles per hour 20 minutes
b. At a constant speed of 15 minutes per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes
Now, total distance travelled = distance travelled with 15 mph + distance travelled with 12 mph
c. At a constant speed of M miles per hour for the first 5 minutes, then at N miles per hour for the last 15 minutes
Now, total distance travelled = distance travelled with M mph + distance travelled with N mph
Hence, a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.
Question 1
Re-write this list of numbers in ascending order:
0.9, 0.23, 0.89
Answers
9. x is directly proportional to y. When x = 4, y = 9. Write an equation
for y in terms of x.
Answers
Answer:
y = 2.25x
Step-by-step explanation:
Given x is directly proportional to y then the equation relating them is
x = ky ← k is the constant of proportion
To find k use the condition when x = 4, y = 9 , then
4 = 9k ( divide both sides by 9 )
[tex]\frac{4}{9}[/tex] = k
x = [tex]\frac{4}{9}[/tex] y ← equation of proportion
Multiply both sides by [tex]\frac{9}{4}[/tex] to clear the fraction
[tex]\frac{9}{4}[/tex] x = y , then
y = [tex]\frac{9}{4}[/tex] x , or
y = 2.25x
This is my test question Round 1.391 to the nearest hundredth and I’m have a hard time I don’t understand I need the answer!!!
Answers
Answer:
1.39
Step-by-step explanation:
nearest hundredth is 9
therefore 1.39 ig
Answer:
1.39
Step-by-step explanation:
0.090 is the hundreth. If the number in the thousandths spot is less than 5, which it is, you round back to 0.090
what must be added to 2x^2 - 5x - 12 in order to get 7x^2 - x - 18
Answers
Answer:
5x^2 +4x -6
Step-by-step explanation:
that is the answer
yep
Answer:
5x² + 4x - 6
Step-by-step explanation:
Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is
7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms
= 5x² + 4x - 6
A rectangle has a perimeter of 6x^3+ 9x^2 - 10x + 5 and a length of x. Find the width of the rectangle when
the length is 21 inches.
Answers
Answer:
59330 feet
Step-by-step explanation:
If length is equal to 21 feet, then x=21
Width will be f(21)=6*(21)^3+9*(21)^2-210+5=59330 feet
The width of the rectangle with the given perimeter and length is 29,686 inches.
Given that, the perimeter of a rectangle = 6x³+ 9x² - 10x + 5 and length=x.
We need to find the width of the rectangle when the length is 21 inches.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be y.
Now, length=x=21 inches.
Thus, 6x³+ 9x² - 10x + 5 = 2(x+y)
⇒6×21³+ 9×21² - 10(21)+ 5=2(21+y)
⇒55,566+3,969-210+5=42+2y
⇒59,372=2y
⇒y=29,686 inches
Therefore, the width of the rectangle with the given perimeter and length is 29,686 inches.
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the measure of an interior angel of a regular polygon is 150. find the number of sides in the polygon.
Answers
Answer:
The polygon has [tex]12[/tex] sides.
Step-by-step explanation:
Recall that the expression for finding the measure of one interior angle of a regular polygon is [tex]\frac{180(n-2)}{n}[/tex], where [tex]n[/tex] is the number of sides the polygon has (and [tex]n\neq 0[/tex]), which is what we want to find.
Because the measure of one interior angle of the given polygon is [tex]150\textdegree[/tex], we can write the following equation to solve for [tex]n[/tex]:
[tex]\frac{180(n-2)}{n}=150[/tex]
Solving for [tex]n[/tex], we get:
[tex]\frac{180(n-2)}{n}=150[/tex]
[tex]\frac{180n-360}{n}=150[/tex] (Distribute the [tex]180[/tex] in the numerator)
[tex]180n-360=150n[/tex] (Multiply both sides of the equation by [tex]n[/tex] to eliminate the denominator and simplify)
[tex]30n-360=0[/tex] (Subtract [tex]150n[/tex] from both sides of the equation and simplify)
[tex]30n=360[/tex] (Add [tex]360[/tex] to both sides of the equation to isolate [tex]n[/tex] and simplify)
[tex]\bf n=12[/tex] (Divide both sides of the equation by [tex]30[/tex] to get rid of [tex]n[/tex]'s coefficient and simplify)
Therefore, the polygon has [tex]\bf 12[/tex] sides. Hope this helps!
-5x²-2x³-4x Write the polynomial in standard form. Then identify the polynomial by the number of terms.
Answers
Cubic Trinomial
Answer:
-2x³ - 5x² - 4x and cubic
Step-by-step explanation:
→ Rearrange the polynomial so the highest power is at the start
-2x³ - 5x² - 4x
→ Now look at the highest power and determine the type of polynomial
Cubic
The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Answers
Answer:
16
Step-by-step explanation:
50÷3=16R2
Second largest multiple of 3 that is smaller than 50=45
45÷3=15 groups of 3 people each
50-45=5
=1 group of 5 people
Greatest possible number of groups=15+1
=16
Help me please I need help with domain and range.
Answers
Answer:
[ -2, ∞ ), [ -1, ∞ )
Step-by-step explanation:
Domain: all x values
[ -2, ∞ )
Range: all y values
[ -1, ∞ )
How do I solve (b) (c) and (d)
Answers
Answer:
Step-by-step explanation:
answer (B)
Please answer the question in the screenshot (#8) Thank you!
Answers
Answer:
282 hours
Jxbskdjjddjjejdjejjd :D
Rational numbers include whole numbers, integers, fractions, and some decimals?
Answers
Answer:
TRUE
Step-by-step explanation:
this is true.
rational= ratio
Does #1 look right? Im struggling on this
Answers
Answer:
Yup, good job!
Step-by-step explanation:
solve for x:
3cx-b=adx+5f
Answers
[tex]3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} [/tex]
I hope I helped you^_^
rationalize the following
Answers
Step-by-step explanation:
[tex] \frac{1}{ \sqrt{2} + 1 } [/tex]
(On Rationalizing )
[tex] = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } [/tex]
[tex] = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } [/tex]
[tex] = \frac{ \sqrt{2} - 1}{2 - 1} [/tex]
[tex] = \frac{ \sqrt{2} - 1}{1} [/tex]
[tex] = \sqrt{2} - 1(ans)[/tex]
Find the area of 12.5 cm and 5 cm
Answers
Answer:
62.5
Step-by-step explanation:
l*w = a
12.5*5 = 62.5
the area of a rectangle is its width times its height
write 12:57 a.m in 24 hour time
Answers
Answer:
Here is your answer . Hope this is helpful to you.
The scale on a different map is 1 inch represents 6 miles.
A road on the map measures 2.5 inches.
How long is the road in real-life?
Answers
Write the following expression as a simplified polynomial in standard form.
(x - 5)^2+3(x - 5) - 4
Answers
[tex]\\ \rm\longmapsto (x-5)^2+3(x-5)-4[/tex]
[tex]\\ \rm\longmapsto x^2-10x+5^2+3x-15-4[/tex]
[tex]\\ \rm\longmapsto x^2-7x+25-19[/tex]
[tex]\\ \rm\longmapsto x^2-7x+6[/tex]
Sasha measured the length of an ant as 1.3 x 10-3 meter. Write this length in standard.
Answers
[tex]\\ \sf\longmapsto 1.3\times 10^{-3}m[/tex]
[tex]\\ \sf\longmapsto 13\times 10^{-2}m[/tex]
[tex]\\ \sf\longmapsto 13cm[/tex]
10^-2m=1cmHelps please
What is the answer for all of them?
Answers
2.) Line BC and line DE
3.) Plane S
4.) Plane T
f(3) = 4x^2 – 4x
Find f(-7)
Answers
Answer:
224
Step-by-step explanation:
[tex]f( - 7) = 4( - 7) {}^{2} - 4( - 7) \\ = 196 + 28 \\ = 224[/tex]
Shawna and her best friend Keisha go shopping.
The function p(x) = 3x^4 + 2x^3 − 4x^2 + 21 represents how much money each girl spent based on the number of hours they were shopping. If Shawna and Keisha each go shopping for 2 hours, how much money did they spend together?
$37
$69
$101
$138
Answers
Answer:
138
Step-by-step explanation:
p(x) = 3x^4 + 2x^3 − 4x^2 + 21
Let x = 2
p(2) = 3*(2)^4 + 2*(2)^3 − 4*(2)^2 + 21
= 3*16+2*8-4*4+21
=48+16-16+21
= 69
This is per girl
There are 2 girls
2 * 69
138