Answer:
then the height would be 2 because 3*2=6
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
area of triangle is: area = (base*height)/2.
since the area is 6 m^2, and base is 3 cm,
6 m^2 = (3 m*height)/2
12m^2 = 3 m*height
height = 4 m
Fran is training for a cycle race. In the first week, she cycles 195 miles. In the second week, she manages 243 miles. To the nearest tenths, What is the percent increase in distance?
Answer:
24.6%
Step-by-step explanation:
243-195=48
48/195=x/100
48 × 100
4800/195= 24.6%
Which expression represents the surface are of the prism?
4
8
7
Answer:
C
Step-by-step explanation:
One side;
7 x 8 = 56, the side parallel to it is also 56 as well, so 56(2).
Second(bottom) side;
8 x 4 = 32, the side parallel to it(the side above) is also 32 as well, so 32(2).
Third(front) side;
4 x 7 = 28, the side parallel to it(backside) is also 28 as well, so 28(2).
You add all those products to get the surface area:
56(2) + 32(2) + 28(2)
What is the standard equation of a circle with center (0, 2) that
passes through (5,-2)?
Answer:
x² + (y - 2)² = 41
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
The distance from the centre to a point on the circle is the radius r
calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 2 )
r = [tex]\sqrt{(5-0)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{5^2+(-4)^2}[/tex]
= [tex]\sqrt{25+16}[/tex]
= [tex]\sqrt{41}[/tex] , then r² = ([tex]\sqrt{41}[/tex] )² = 41
then
(x - 0)² + (y - 2)² = 41 , that is
x² + (y - 2)² = 41 ← equation of circle
PLS HELP IM GIVING U POINTS
Answer:
80/7, of 11 3/7
Step-by-step explanation:
make 4 into a fraction, 4/1, then make 2 6/7 into an improper fraction, 20/7. For fraction multiplication, multiply the numerators and then multiply the denominators. after doing that you will get 80/7 which in 11 3/7
What is the length of side b round to the nearest hundredth
Answer:
= 8.06
Step-by-step explanation:
4^2 + 7^2
16 + 49
= ∫65
= 8.06
Solve the simultaneous equations by substitution 3 x + 4 y = 8 x + y = 4
Answer:
x=
29
12
≈0.413793103
y=
29
20
≈0.689655172
NEED HELP:
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to
find the radius (7) if you know that C = 271?
Answer:
The radius is approx. 7.5
Let me know if it helps or if I got anything wrong!
Step-by-step explanation:
To find the circumference, you need to multiply the diameter by pi (3.14)
And for vice versa, just divide.
Since we don't know the diameter nor radius, we need to divide the Circumference (C) by pi (3.14)
47/3.14=14.968
Which is rounded up to 15.
We have now found the diameter.
We also know that the radius is half of the diameter
15/2=7.5
At the beginning of a month, the number of people rock climbing increases and then decreases by the end of the month. The number of people zip-lining steadily increases throughout the same month. The models show the number of people y for each type of activity based on the number of days x since the beginning of the month.
a. Write a system of equations that represents this situation.
b. On what day or days were the same number of people rock climbing and zip-lining?
c. How many people were participating in each activity on that day or days?
Answer:
a)
[tex]y=-\dfrac17x^2+2x+10[/tex]
[tex]y=2x+3[/tex]
b) Equate the equations and solve for x:
[tex]-\dfrac17x^2+2x+10=2x+3[/tex]
[tex]\implies -\dfrac17x^2+2x-2x=3-10[/tex]
[tex]\implies -\dfrac17x^2=-7[/tex]
[tex]\implies x^2=49[/tex]
[tex]\implies x=\pm\sqrt{49}[/tex]
[tex]\implies x=7[/tex] (as time is positive)
The same number of people were rock climbing and zip-lining on day 7.
c) Substitute [tex]x = 7[/tex] into [tex]y = 2x + 3[/tex] and solve for y:
[tex]\implies 2(7)+3=17[/tex]
Therefore, 17 people were participating in each activity on day 7.
Answer:
The same number of people were rock climbing and zip-lining on day 7.
c) Substitute into and solve for y:
Therefore, 17 people were participating in each activity on day 7.
Step-by-step explanation:
A potter sells small and large ceramic bowls at a craft fair on Saturday. The potter sells a total of 32 ceramic bowls at the craft fair and earns a total of $ 916 . If the small ceramic bowls cost $ 18 each, and the large ceramic bowls cost $ 35 each, exactly how many large ceramic bowls does the potter sell at the craft fair on Saturday?
The numbers of large bowl sold at the fair is 20
Data;
Total bowl sold = 32Total amount made = $916Cost of small ceramic bowl = $18Cost large bowl = $35System of EquationTo solve this problem, we need to write system of equations for this.
Let x represent the numbers of small ceramic bowl
let y represent the numbers of large ceramic bowl
[tex]x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)[/tex]
From equation (i), let's make x the subject of formula
[tex]x + y = 32\\x = 32 - y...eq(iii)[/tex]
Let's substitute equation (iii) into equation (ii)
[tex]18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20[/tex]
The numbers of large bowl sold at the fair is 20
Learn more on system of equations here;
https://brainly.com/question/18841812
Please, please please please help me
Answer:
Triangle C
Triangle D
Triangle B
Triangle A
Answer:
its B hope that helps have a great day
The perimeter of square is 20 in. What is the Area Draw the square
Answer:
Step-by-step explanation:
Well I can't really draw the square, but.
If the the squares perimeter is 20, and all sides on a square are the same, and there are 4 sides.
Do 20/4 which = 5 inches.
Then area is length x width,
So 5x5 which equals 25 inches.
The dimensions of this screen are 8 inches by 15 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen
Answer:17
Step-by-step explanation:
I just did it and got it write 15/8=17
Answer:
B
Step-by-step explanation:
here i need help for this please
What is the solution to 4(y minus 3) + 19 = 8(2y+ 3) + 7?
Answer: the value of y is - 2
Step-by-step explanation:
Are the ratios equivalent? 2/5 and 20/55
Step-by-step explanation:
Simplify 20/55;
[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]
[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]
In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.
Assuming 2:5 and 22:55 are equivalent. Then;
[tex]\implies 2:5 = 20:55[/tex]
This can be checked by using two methods. Listed below!
Method 1 (As stated above):This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.
Obtained ratio:
[tex]2:5 = 20:55[/tex]
We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.
[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]
[tex]2:5 = (4):(11)[/tex]
Therefore, the given ratios are NOT equivalent.
Method 2:To determine if the ratios are equivalent (or not);
Multiply the extremes (Refer to notes) of the ratio and isolate them on one side of the equation.Multiply the middles (Refer to notes) of the ratio and isolate them on the other side of the equation.Therefore,
[tex]\implies 2:5 = 20:55[/tex]
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
Now, let's simplify both sides of the equation.
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]
Therefore, the given ratios are NOT equivalent, as stated in method 1.
Notes:Extremes: (a : b = c : d) ⇒ "a" and "d"Middles: (a : b = c : d) ⇒ "b" and "c"Learn more about equivalent ratios: https://brainly.com/question/18835388
Question 2 (2 points) B Triangle ABC has angle measures as shown below. Using the information in the diagram, find the value of x. Be sure to write your answer down on a piece of paper - you will need it for Question 4. In your answer, give the value of x and explain how you calculated it. 3(x + 2) 35° 52 А B
Answer:
bilmiyom ne olduğunu Türkçe anlat
Answer:
x = 29
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
3(x + 2) + 52 + 35 = 180 , that is
3(x + 2) + 87 = 180 ( subtract 87 from both sides )
3(x + 2) = 93 ( divide both sides by 3 )
x + 2 = 31 ( subtract 2 from both sides )
x = 29
6. Izabella and
Lani go to breakfast
and spend $34, plus
they give a 20%
tip. How much do
they pay total ?
Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction? sine StartFraction pi Over 6 EndFraction sine StartFraction 5 pi over 3 EndFraction sine StartFraction 5 pi over 3 EndFraction sine StartFraction 11 pi Over 6 EndFraction.
Answer:
The answer is D: sin 11pi/6
<3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is 8 divided by 7.6
Answer:
1.05263
explanation:
8 divided by 7.6
[tex]\hookrightarrow \dfrac{8}{7.6}[/tex]
multiply both by 10
[tex]\hookrightarrow \dfrac{80}{76}[/tex]
final answer
[tex]\hookrightarrow 1.05263[/tex]
help please!!! 18 pts + brainliest ASAP
Answer:
2.5 inches / B (edited)
Step-by-step explanation:
1.25 inches is the radius, so 2.5 inches is the diameter, because:
The diameter's formula is [tex]2r[/tex]. :) emjoy
A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.
Answer :
8 meters .⠀
Explanation :
The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.⠀
To Find :
The height of the cylinder.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]
⠀
Where,
r is the radius of the cylinder.h is the height of the cylinder.⠀
Now, Substituting the values :
[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]
⠀
Cancelling π from both sides :
[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]
[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]
[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]
⠀
Therefore,
The height of the cylinder is 8 meters .Which point is a solution to the inequality y > − 5 x + 3 ?
Please help me, because I am struggling on this picture.
Answer:
see attached
Step-by-step explanation:
Each grid is divided into units by the dark vertical lines, and into fractions of the last unit by the lighter vertical lines. The left-side figure, for example, shows 3 units, the last of which is divided into fourths (1/4s).
The lighter horizontal lines divide the vertical space into fractions. The left side figure has horizontal lines dividing the vertical space into tenths (1/10s).
Overall, each grid represents multiplication of a mixed number by a fraction.
__
The left-side figure has coloring horizontally covering two full units and 3/4 of the last unit. The coloring vertically occupies 3 of the 10 spaces, Overall, the figure represents multiplication of 2 3/4 by 3/10. That matches the solution required for the question about July rainfall (bottom word problem).
__
The top right figure has coloring horizontally that covers two full units and 2/3 of the last unit. The coloring vertically occupies 2 of the 3 spaces. Overall, the figure represents multiplication of 2 2/3 by 2/3. That matches the solution required for the question about mat area (top word problem).
__
The bottom right figure has coloring horizontally that covers three full units and 1/5 of the last unit. The coloring vertically occupies 1 of the 4 spaces. Overall, the figure represents multiplication of 3 1/5 by 1/4. That matches the solution required for the question about the weight of carrots (middle word problem).
_____
Additional comment
Perhaps the confusing part is that the answer to the question, as represented by the shaded area, is not easy to determine from the figure.
The left-side figure, for example, has a blue shaded area that totals 6/10, and an orange shaded area that totals 9/40. The answer to the question posed is then 6/10 +9/40. The diagram offers no help in figuring the value of that sum, hence the answer to the question.
by what percent will a fraction increase if its numorator is increased by 60% and ist denominator decreased by 20%
Answer:
100%
Step-by-step explanation:
Assume the fraction is X/Y.
Increase the numerator by 60%: 1.6X
Decrease the denominator by 20%: 0.8Y
New value: 1.6X/0.8Y
That is equal to 2(X/Y)
The fraction increases by 100% [X/Y to s(X/Y)]
7x-2=5x+14
X=?
(step by step needed)
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
[tex]7x-2-5x=5x+14-5x[/tex] [tex]2x-2=14[/tex]Step 2: Add 2 to both sides.
[tex]2x-2+2=14+2[/tex] [tex]2x=16[/tex]Step 3: Divide both sides by 2.
[tex]2x/2=16/2[/tex] [tex]x=8[/tex]Step 4: Check if solution is correct.
[tex]7(8)-2=5(8)+14[/tex] [tex]56-2=40+14[/tex] [tex]54=54[/tex]Therefore, x = 8.
Answer:
x=8
Step-by-step explanation:
7x-2=5x+14
collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)
7x-5x=14+2
2x=16
divides both sides by the value of x
x=16/2
x=8
Out of a sample of 1,450 people, 1,000 said they prefer to drive themselves to work rather than carpool. Construct a 95% confidence interval for the population mean of people who would rather drive themselves than carpool.
CI = (65.84%, 72.09%)
CI = (66.58%, 71.35%)
CI = (65.27%, 72. 13%)
CI = (66.97%, 70.96%)
The required confidence interval for the population mean is; B: CI = (66.58%, 71.35%)
What is the Confidence Interval?We are given;
Sample size; n = 1450
Sample number; x = 1000
Thus,sample proportion is;
p^ = x/n = 1000/1450
p^ = 0.69
We are not given the population proportion but we will assume; p = 0.5
Formula for confidence interval is;
CI = p^ ± z√(p(1 - p)/n)
Where z for CL of 95% is; z = 1.96
Thus;
CI = 0.69 ± 1.96√(0.5(1 - 0.5)/1450)
CI = 0.69 ± 0.026
CI = (66.58%, 71.35%)
Read more about Confidence intervals at; https://brainly.com/question/26658887
write equation from slope and 1 point. i need help on both questions please.
Answer:
10.) y = [tex]\frac{-1}{4}[/tex]x + [tex]\frac{17}{4}[/tex] 11.) y = 3x + 7
Step-by-step explanation:
10.) when given, slope, and a point you can use the equation y=mx+b to solve for "b" as your unknown. so, you substitute everything that you do know y = 4. x = 1. m = -1/4.
y=mx+b becomes 4 = [tex]\frac{-1}{4}[/tex](1) + b
4 = -1/4 +b
add the 1/4th to both sides to isolate b.
you end up with an answer of, 4[tex]\frac{1}{4}[/tex] which equals [tex]\frac{17}{4}[/tex]
so you end up with b = [tex]\frac{17}{4}[/tex]
-------------------------------------------------------------------------------
11.) Do the same thing with the other problem.
you know m = 3. x = -1 and y = -4
substitute what you know now.
y = mx+b becomes -4 = 3(-1) + b
add -3 to both sides to isolate b
then you end up with an answer of
b = 7
The graphs below have the same shape. What is the equation of the blue
graph?
only the evaluate question. please answer quickly
Answer:
2m²-6m
Step-by-step explanation:
First simplify the numerator.
Then cancel the common factor of m+3 and use distributive property.
Multiply m by m and lastly multiply -3 by 2.
What is the square root of 100.
Answer:
10 is the answer
Step-by-step explanation:
thank me layer
Answer:
10
Step-by-step explanation:
The square root is the opposite of squared. 10²=10x10=100. There is no method of squarooting something. The only method would be calculator or memorizing perfect squares.