lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of collection?
Answer:
25% increase in records
Step-by-step explanation:
25% = 1/4
1/4 of 12 = 3
she got 3 new records, therefore a 25% increase
A right triangle has an X exterior angle with a measure of 142° . Can you determine the measures of the interior angles? Explain.
=======================================================
Explanation:
The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.
Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).
Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".
For each of the solutions of the equations find two consecutive integers between
which the solution is located :
x²=3
Answer:
0 and 1
Step-by-step explanation:
x² = 3
take the square root of both sides
x = {-√3, √3}
x ≈ {-1.73, 1.75}
Two consecutive integers between 1.73 and 1.75
0 and 1
The perimeter of a rectangular picture frame is 120 inches. The length of the picture frame is 10 inches more than the width. Find the length and width of the picture frame.
Answer:
Length is 35 width is 25
Step-by-step explanation:
divide 24 apples between Roopa and Amita in ratio 5:7
Answer:
Roopa: 10
Amita: 14
Step-by-step explanation:
5x+7x=24
12x=24
x=2
5x=10
7x=14
Answer:
Step-by-step explanation:
5/7*24
=5/7*24
=17.14 apples
I really need help right now please i will mark brainliest and give lots of points
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
what is the problem?
Step-by-step explanation:
Ned fills 2/3 of a bucket in 1/5 of a minute. How much time will it take him to fill the bucket?
Answer:
12 min
Step-by-step explanation:
Simplify x^3 divide by x^2
how to do this? help me please:)
Answer:
hope it helps.
stay safe healthy and happy.
What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
learn more on surface area click :
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i think i did this problem wrong can someone help
Total area of the rectangle = 12 × 24 = 288
The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π
The area of the shaded region is then 288 - 72π.
The probability of picking a point in the shaded region is then
(288 - 72π) / 288 ≈ 0.215
please help me its easy
Answer: 31.6
Step-by-step explanation:
Solve the inequality
8(x/4-6)>4
Answer:
[tex]8( \frac{x}{4} - 6) > 4[/tex]
[tex] \frac{8x}{4} - 48 > 4[/tex]
[tex]2x - 48 > 4[/tex]
[tex]2x > 4 + 48[/tex]
[tex]2x > 52[/tex]
[tex]x > \frac{52}{2} [/tex]
[tex]x > 26[/tex]
Find the equation of the line that passes through (3,1) and is parallel to y = 3 − 2 x . Leave your answer in the form y = m x + c
Answer:
y=3-2x
Step-by-step explanation:
Parallel to y = 3 − 2 x => y=c-2x
Through (3,1) => 1=c-2(1) <=> c=3
Line is y=3-2x
7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2Could someone help answer number 1 please
beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?
Answer:
$ 14
Step-by-step explanation:
12 - 5 = 7 = half weekly allowance
Solve for q.
14 = 3q + 8
q =
Answer:
q = 2
Step-by-step explanation:
Move all terms that don't contain q to the right side and solve.
Answer:
q=2
Step-by-step explanation:
What is the value of the 9 in the number 567.09?
Answer:
After the decimal point (left to right) are the tenths, hundredths, thousandths, ten-thousandths, and so on. The value of the 9 would be 9 hundredths.
:)
What’s the answer to -4/4+160%+1/5=
Answer:
I think it is 1 4/159
Step-by-step explanation:
the measure of an angle is 6 less than 5 times its complement. what is the complement.
Answer:
90−74=16∘.
Step-by-step explanation:
If x is the measure of the angle, then 90−x is the measure of the complement, both in degrees
A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?
A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.
The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.
The steps required to construct the line are:
Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.
The construction to this question is attached to this answer for more clarifications.
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. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)
Step-by-step explanation:
the most usual firm of line equation is
y = ax + b
a is the slope of the line and is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-interception (the bake of y when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
the slope a :
x changes by +3 (from 3 to 6)
y changes by +8 (from -1 to 7)
so, the slope is +8/+3 = 8/3
our line equation now looks like
y = (8/3)x + b
let's simply use the first point
-1 = (8/3)×3 + b
-1 = 24/3 + b = 8 + b
-9 = b
and the full line equation is
y = (8/3)x - 9
A kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 50°. Find the length of the string. Round your answer to the nearest tenth.
Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
Step-by-step explanation:
hi guys. been trying to learn how to figure out these types of questions. having heaps of trouble. would someone be able to explain for me thankq
Step-by-step explanation:
you multiplie elements in order
first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v
it will be 8v+2v^2-4q+qv
Find an equation of a line with a slope of 6 and having the point (3,5) on the line. Will mark brainliest!
Pleaaaaaaaaaaaaaaaaaaaaaaase help me
Answer:
It would be the first one
Step-by-step explanation:
Start at 0 and the end shows 2.5
Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?
Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
Read more about linear equations at:
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Vanessa walks her puppy 12 of a miles in 20 minutes. How far does she walk her puppy in 1 hour?
Show work. (Type answer in word form)
Answer:
thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles
Step-by-step explanation:
We can convert 1 hour to 60 minutes
[tex]60\div20=3[/tex]
Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12
[tex]3\cdot12=36[/tex] of a miles
thirty-six of a miles
Brainliest please :)
Answer:
Vanessa walks her puppy for 36 miles in 1 hour.
Step-by-step explanation:
She walks 12 miles in 20 minutes
1 hour = 60 minutes
There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles
-Chetan K