Answer:
Step-by-step explanation:
There are several ways in which to express this ratio. First and according to the size the model is to the real car:
m = .03c or [tex]m=\frac{3}{100}c[/tex] or conversely, you could state the expression according to the size of the real car as compared to the model:
c = 33 1/3m (the car is 33 and a third times the size of the model).
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
Which of the
x
xx-values are solutions to the following inequality?
x
>
111
x>111x, \gt, 111
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
x
=
97
x=97x, equals, 97
(Choice B)
B
x
=
101
x=101x, equals, 101
(Choice C)
C
x
=
119
x=119x, equals, 119
Given:
The inequality is:
[tex]x>111[/tex]
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
[tex]x>111[/tex]
It means all the real numbers greater than 111 are the solutions to the given inequality.
[tex]97<111[/tex], so 97 is not a solution.
[tex]101<111[/tex], so 101 is not a solution.
[tex]119>111[/tex], so 119 is a solution.
Therefore, the correct option is C.
Given:
The inequality is:
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
When you look at the two cylinders with these values of r and h, what do you notice about the proportions of the cylinders?
Answer and Explanation:
Volume of a cylinder is given by
V= Pi*r²*h
where v= volume of the cylinder
Pi is constant = 22/7 or 3.14159
r= radius of the circle of the cylinder
h= height of the cylinder
If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2
Answer: One of the cylinders is short and wide, while the other is tall and thin.
Can anyone help me please
Answer:
1
Step-by-step explanation:
Basically you just need to find the square root of all of them
36=6 -1=1 9=3 . -1=1
6-1-3-1=1
What is the slope of the line whose equation is y=4+x?
Answer:
The slope is 1 and the y intercept is 4
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
Rewriting
y = x+4
The slope is 1 and the y intercept is 4
Answer:
M = 1
Step-by-step explanation:
1. Convert to standard form: x - y = - 4
2. Slope using standard form: m = 1
Finding an angle measure
Answer:
C. 50 degrees
Step-by-step explanation:
Angle EDG is 90 degrees
x = 10
5 multiplied by 10 is 50
4 multiplied by 10 is 40
40+50=90
Answer:
50 = EDH
Step-by-step explanation:
We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;
EDH + HDG = EDG
5x + 4x = 90
9x = 90
x = 90/9
x = 10
Now that we know that value of x, we can say that;
EDH = 5x
since x = 10
EDH = 5(10)
EDH = 50
Hope this helps!
Find 0. Round to the nearest degree
A. 26
B. 66
C. 64
D. 24
Answer:
C. 64°
Step-by-step explanation:
[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{7}{16} }} \\ \\ { \tt{ \theta = { \cos }^{ - 1} ( \frac{7}{16} )}} \\ \\ { \tt{ \theta = 64 \degree}}[/tex]
Answer: Choice C) 64 degrees
Work Shown:
[tex]\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{7}{16}\\\\\cos(\theta) = 0.4375\\\\\theta = \cos^{-1}(0.4375)\\\\\theta \approx 64.0555^{\circ} \\\\\theta \approx 64^{\circ} \\\\[/tex]
Note: some calculators will use the notation arccos in place of the [tex]\cos^{-1}[/tex]
Can someone help me with this math homework please!
Answer:
Post them individually
Step-by-step explanation:
1. B
2. 4th option ,----> Megan's at 2.5 per week
Megan's plant:
slope = 7-4.5/2-1 = 2.5= growth rate
Suzanne's plant:
slope = 7-5/2-1= 2 = growth rage
3.D
4 2nd option , $2 for each song
Rate of change = 6-4/3-2 = 2
Which of the following functions is graphed below?
Answer:
non of the above thanks
don't ask me again please
Answer:
where are the functions ???
Step-by-step explanation:
Which of the following is not a solution to the system of inequalities?
A) (0,4)
B) (0,3)
C) (2,3)
D) (1,3)
Answer:
C
Step-by-step explanation:
In fact the point doesn’t lies on the graph or between the lines
At a farmers market, oranges sell for $5 per bag and apples sell for $3 per
bag. Marc buys 7 bags of fruit for $29. How many bags of each type of fruit
did he buy?
Answer: 4 bags of oranges and 3 bags of apple
Step-by-step explanation:
Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29
A basketball player average to 12.5 points per game there are 24 games in a season at the rate how many points with the players scored in an entire game
Answer:
Wait did you mean how many points will it be after an entire SEASON?
PLEASE HELP A boat travels downstream 10 miles and returns to the starting point in 2
hours. If the speed of the stream is 15 mph, find the speed of the boat in still
water. A. 20.81mph B. 30.24mph C.25.67 D.15mph
Answer:
A. 20.81 mph
Step-by-step explanation:
x = speed of the boat in still water.
one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.
and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :
10/(x + 15) + 10/(x - 15) = 2
10 + 10×(x+15)/(x-15) = 2×(x+15)
10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)
20x = 2×(x² - 225)
10x = x² - 225
0 = x² - 10x - 225
solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac)) / (2a)
a = 1
b = -10
c = - 225
(10 ± sqrt(100 - 4×1×-225)) / 2 =
= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =
= (10 ± 31.62) / 2
x1 = 41.62 / 2 = 20.81 mph
x2 is negative and did not make any sense.
Anybody help me with this question please? ;D
9514 1404 393
Answer:
35 cm²
Step-by-step explanation:
You can count the squares, or ...
you can multiply the number in each row by the number of rows, or ...you can multiply the number in each column by the number of columns.Any way you do this, there are 35 square, so the area is 35 square centimeters.
Which expression is equivalent to 5(w+4) when w= 9?
519)
9(5)
5(9)+4
O 5(9)+20
Answer:
D
Step-by-step explanation:
[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]
Express the following as ONE fraction:
(( b - c )/ b ) + (b / ( b + c ))
Answer:
Step-by-step explanation:
(b - c)/b * (b+c)/b Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example
[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]
What you get with your problem is
(b^2 - c^2)/b^2
What is the justification for step 2 in the solution process? 10x − 25 − 3x = 4x − 1 Step 1: 7x − 25 = 4x − 1 Step 2: 7x = 4x + 24
Answer:
Add 25 to each side using the addition property of equality
Step-by-step explanation:
10x − 25 − 3x = 4x − 1
Step 1: 7x − 25 = 4x − 1 Combine like terms
Step 2: 7x = 4x + 24 Add 25 to each side using the addition property of equality
Find the value of x in the equation below.
Answer:
Here is your answer....
Hope it helps.....
Answer:
-3
Step-by-step explanation:
expand the bracket by multiplying everything
inside by 3
after that collect like terms
then solve to come up with -3 as ur answer
The original price of a mountain bike was reduced by $125.
If p = the mountain bike's original price in dollars, which algebraic expression represents the reduced price?
Answer:
p-$125= reduced price
Step-by-step explanation:
reduced implies that the $125 was SUBTRACTED from the original price.
A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
f(1) = 6; f(n) = 6 + d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n + 1), n > 0
f(1) = 6; f(n) = 6 + d(n + 1), n > 0
Answer:
a.
f(1)=6; f(n)=6+d(n-1), n>0
Step-by-step explanation:
We are given that
First layer has squares, a=6
Second layer has squares, a2=12
We have to find an arithmetic explicit formula to determine the number of squares in each layer.
[tex]d=a_2-a_1=12-6[/tex]
nth term of an A.P
[tex]a_n=a+(n-1)d[/tex]
Substitute the value of a
Now, we get
[tex]a_n=6+(n-1)d[/tex]
f(1)=a=6
[tex]a_n=f(n)=6+d(n-1)[/tex]
Hence, option a is correct.
a.
f(1)=6; f(n)=6+d(n-1), n>0
Answer:
f(1) = 6; f(n) = 6 + d(n − 1), n > 0
Step-by-step explanation:
I took the test on flvs and got it right.
100% Guaranteed Correct :)
, Hope this helps
Have a great day!!
In a GEOMETRIC sequence, the first term is 21 and
the common ratio is 2. Find the 15th term.
Answer:
344064
Step-by-step explanation:
hope it is well understood
Find four fractions between 1/10 and 1/8
9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
__
Check
1/8 = 0.1255/42 ≈ 0.1195/44 ≈ 0.1145/46 ≈ 0.1095/48 ≈ 0.1041/10 = 0.100_____
Additional comment
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
__
Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
What is the length of bc
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answer:
mean = 85, standard deviation = 3.5
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.
From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.
σ = standard deviation, μ = mean
Hence; μ ± 2σ = (78, 92)
μ - 2σ = 78 (1);
μ + 2σ = 92 (2)
Adding equation 1 and 2, gives 2μ = 170
μ = 85
μ - 2σ = 78
85- 2σ = 78
2σ = 7
σ = 3.5
i need help in this plz!!!!
Step-by-step explanation:
1) = {5(x+y)} - 2x
= 5x + 5y - 2x
= 3x + 5y
2)= {2(p×q)} + (p×q)
= (2p×2q)+ p×q
= 4pq + pq
= 5pq
3)= 6a + (8b + 2a)
= 8a + 8b
= 8(a+b)
4)= 3x² + ( x²+7x)
= 4x² + 7x
= x(4x+7)
Answer:
Step-by-step explanation:
72) 5*(x +y) - 2x
= 5x + 5y - 2x {Distributive property}
= (5x - 2x) + 5y {Combine like terms}
= 3x + 5y
73) 2*(pq) + pq
= 2pq + pq {Combine like terms}
= 3pq
74) 6a + (8b + 2a)
= 6a + 2a + 8b {Combine like terms}
= 8a + 8b
75) 3*x² + (x² + 7x)
= 3x² + x² + 7x {Combine like terms}
= 4x² + 7x
Look at the figure. Which surface of the figure is represented by plane EFHG?
the right side
the back
the top
the bottom
Anyone know the answer ?? Please, appreciate it
Answer:
D
Step-by-step explanation:
Given m|n, find the value of x.
t
(x-1)
(8x-14)
Answer:
Submit Answer
attempt 1 out of 2
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Plssssss help
Answer:
x=13
Step-by-step explanation:
These are corresponding angle and corresponding angles are equal
7x-1 = 8x-14
Subtract 7x from each side
7x-1-7x = 8x-14-7x
-1 = x-14
Add 14 to each side
-1+14 = x-14+14
13 =x
247 divided by 7
[tex]247 \div 7[/tex]
Answer:
247/7 = 35 2/7
247/7 = 35 reminder 2
247/7 = 35.2857142857...
Step-by-step explanation:
35
----------------------------------
7 | 247
21
-----------
37
35
---------
2
247/7 = 35 2/7
247/7 = 35 reminder 2
247/7 = 35.2857142857...
A local store sells oranges at a price for 6 fo $9.00. If Alley wants to buy 10 oranges what would the total price be?
Answer:
15$
Step-by-step explanation:
you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps
