Answer: B: the force on the car is greater than the force on the bug
Step-by-step explanation:
The force on the car is greater because it is travelling at a faster speed.
d(x) = (x - 6)(x - 2)
Answer:
x^2-8x+12
Step-by-step explanation:
This is the expanded form if this is what you wanted
triangle abc is similar to triangle def solve for both unknown sides
Given:
Triangles ABC and DEF are similar triangles.
AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y
To find:
The values of unknown sides, i.e., x and y.
Solution:
We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}[/tex]
[tex]\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}[/tex]
[tex]\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}[/tex]
Now,
[tex]\dfrac{6}{x}=\dfrac{1}{2}[/tex]
[tex]6\times 2=1\times x[/tex]
[tex]12=x[/tex]
Similarly,
[tex]\dfrac{1}{2}=\dfrac{15}{y}[/tex]
[tex]1\times y=15\times 2[/tex]
[tex]y=30[/tex]
Therefore, the measure of unknown sides are x = 12 m and y = 30 m.
Last Saturday 1,625 people visited the state fair. 52% of the visitors were adults, 12% were teenagers, and 36% were children ages 12 and under.
Find the number of adults, teenagers, and children that visited the state fair.
Show ALL your work/mathematical reasoning.
Answer:
(adults) 1625 x .52 = 845
(teenagers) 1625 x .12 = 195
(children) 1625 x .36 = 585
Express 0.361 as a fraction
where the 6 and 1 is recurring
Answer:
179/495
Step-by-step explanation:
x = 0.3616161.......... ---------------(I)
Multiply by 1000
1000x = 361.616161......
Multiply (I) by 10
10x = 3.616161........
1000x = 361.6161......
10x = 3.6161........ {Now subtract}
990x= 358
x = 358/990
x = 179/495
WILL MARK BRAINLIEST TO THE FIRST PERSON!!!!
Answer:
I think the answer is 105
(2x - 2)(3x + 1)(x - 1) = 0
find the solution and their multiplicities for the given equations
Suppose the sides of a pendant are 18 mm long. what is the height of the pendant to the nearest tenth of a millimeter?
I need the answer and explanation for this question.
Answer is 20.8 mm long check image for full explanation
besties help me rn
The Hawks basketball team scored (x + 5) points. The Bulls basketball team scored (2x - 3) points. Write an expression that represents how many more points The Hawks scored than The Bulls
Answer:
(x+5)-(2x-3)
or simplified
8-x or -x+8
what 2 numbers can be added to make -40 as well as added to make -6?
-20 x 2 or -10 x 4 both equal -40
-2 x 3 = 6
the segment joing C and D (-0.6, -0.8) is the tangent to the unit circle at D. what is the exact value of...
1. sin(t - 2pi)
2. tan(t + pi)
3. tan(t - 2pi)
Answer:
Tan(t+pi) = 3
Step-by-step explanation:
First let's find the slope of the line through the points and
Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.
Also, is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.
m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2
m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3
m=%283%29%2F%282%29 Subtract -2 from 0 to get 2
So the slope of the line that goes through the points and is m=3%2F2
Now let's use the point slope formula:
y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula
y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0
y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2
y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute
y-0=%283%2F2%29x%2B3 Multiply
y=%283%2F2%29x%2B3 Simplify
So the equation that goes through the points and is y=%283%2F2%29x%2B3
Notice how the graph of y=%283%2F2%29x%2B3 goes through the points and . So this visually verifies our answer.
Graph of y=%283%2F2%29x%2B3 through the points and
Fill in the box to rewrite the expression 5x + 10
using the GCF.
5x + 10 = (
x) + (5 •
Pair of pants
List Price $24.95
Rate of Discount 20%
DISCOUNT =
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.
Answer:
40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 [tex]\frac{1}{2}[/tex] cm
width = 2 [tex]\frac{1}{2}[/tex] cm
height = 2 [tex]\frac{1}{2}[/tex] cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
6 [tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]Volume = [tex]\frac{13}{2}[/tex] x [tex]\frac{5}{2}[/tex] x [tex]\frac{5}{2}[/tex]
When you multiply everything together you should get [tex]\frac{325}{8}[/tex].
As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].
Destiny made 80 cookies. She left 8 cookies at home for her family before taking the rest to school. What percent of the cookies did she leave at home?
Answer: She left 10% of the cookies at home
Step-by-step explanation: 80 cookies= 100%, 8 cookies = x%. 8 x 100%/ 80 = 10%
Line PQ is parallel to line RS
∠MOQ=65°
What is ∠RTN=
Answer:
65
Step-by-step explanation:
MOQ = RTN
does anyone know how to do this
Answer: 9x^2y^8/25z^4
Step-by-step explanation: Apply the exponent to all
A grocery store sells Swiss cheese for $5.90 per pound. What is the cost per ounce of Swiss cheese? Round your answer to the nearest cent.
Enter the correct answer in the box. You do not need to type the dollar sign, but your answer should be in the form of dollars and cents. For example, 0.50 means fifty cents.
$ _________
Blank 1: ____________________
Answer:
$2.71 per ounce
Step-by-step explanation:
Find how many ounces are in a pound, which is 16Divide 5.90 by 16, which equals 2.71186441 Then like the problem says "round to the nearest cent," which is just basically taking away the last 6 digits and you should get $2.71 per ounce.lewis buys all the cartoons he needs for the least possible amount of money. how much did he spend
HELP PLS! Worth 20 points!!
What is the hypotenuse and the shorter leg of a 30-60-90 triangle, if the longer leg is 12?
The first five terms of a sequence are shown.4, 12, 36, 108, 324, ….
What is the common ratio of the function?
A.14
B.13
C.3
D.4
Answer:
3
Step-by-step explanation:
Each number is multiplied by three to get the next one in the sequence
1 calcule o valor das expressões A) 2x+(3.4)²+(7.7) B) 3x+(2.6)+(8.8)² C)7.6+(28.3)+(4)² D)7x-(7.8)+(9:3)
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given:
[tex]A) \ \ 2x+(3.4)^2+(7.7) \\\\B) \ \ 3x+(2.6)+(8.8)^2\\\\C)\ \ 7.6+(28.3)+(4)^2 \\\\D)\ \ 7x-(7.8)+(9:3)[/tex]
For point A:
[tex]\to 2x+(3.4)^2+(7.7)\\\\\to 2x+(11.56)+(7.7)\\\\\to 2x+19.26\\\\[/tex]
For point B:
[tex]\to 3x+(2.6)+(8.8)^2\\\\\to 3x+(2.6)+77.44\\\\\to 3x+80.04[/tex]
For point C:
[tex]\to \ 7.6+(28.3)+(4)^2 \\\\\to \ 7.6+(28.3)+16 \\\\\to \ 7.6+44.3 \\\\\to 51.9[/tex]
For point D:
[tex]\to 7x-(7.8)+(9:3)\\\\\to 7x-(7.8)+ \frac{9}{3}\\\\\to 7x- \frac{23.4+9}{3}\\\\\to 7x- \frac{32.4}{3}\\\\\to 7x- 10.8[/tex]
How do I solve this?
Answer:
36°
Step-by-step explanation:
2x+3x=90
5x=90
x=18
plug in 18
2(18)=36
3(18)=54
Quadrilateral DEFG is a rectangle, FH = 5x, and GH = x + 80. What is the value of x?
HELPPPP
Line 1 is Perpendicular to Line 2. If Line 1 has a slope of - 2/3, what is the slope of Line 2?
Answer:
2/3
Step-by-step explanation:
Pls help asap 78 points
Hello.
The surface area of a rectangular prism can be found by adding up the areas of all the faces. Additionally, since this is a rectangle, opposite sides will be of the same area, meaning that the surface area of a rectangular prism can be represented with the following equation.
[tex]SA=2(hw)+2(lw)+2(hl)[/tex]
Now let's plug in the dimensions of the rectangular prism.
[tex]SA=2(2*6)+2(6*3)+2(2*3)[/tex]
[tex]SA=72[/tex]
As for the units, the dimensions of the rectangular prism are given in centimeters, so our area will be in centimeters squared, as we are working with area.
Hope this helps!
Answer:
surface area = 72 cm²
surface area units = cm²
Step-by-step explanation:
surface area = 2(6x3 + 2x3 + 6x2) = 72 cm²
In an obtuse scalene triangle, one angle is 70 degrees larger than another angle and the third angle is 60 degrees. What is the measure, in degrees, of each of the three angles of the triangle?
Step-by-step explanation:
one angle=70 degress+×
third=60 degrees
70+×+60=130
180_130=50 degrees
anyone know how to do this??
Answer:
I think it will be 30 ft
Step-by-step explanation:
fine the lowest common multiple of90 and 150
Answer: 450
Step-by-step explanation:
Find the prime factorization of the two numbers (using a factor tree)
90 = 2 * 3 * 3 * 5
150 = 2 * 3 * 5 * 5
(The common factors are bolded)
To find LCM, multiply all the factors from the two prime factorizations
However, only multiply the common ones once
2 * 3 * 3 * 5 * 5 = 450
When two fractions, refer to the same whole and have the same denominators, explain why you can compare only the numrators ?
Answer:
Ok, suppose that we have two fractions with the same denominator but different numerator, let's write them as:
a/b and c/b
We can write these two as:
a*(1/b) and c*(1/b)
Now if we want to add these, we get:
a*(1/b) + c*(1/b)
Now we can take the common factor (1/b), and write the sum as:
(a + c)*(1/b)
now we can rewrite this as:
(a + c)/b
then we got:
a/b + c/b = (a + c)/b
We can directly compare the numerators because we can think on the same denominator as a common factor.
Isaac filled up his 20 gallon gas tank he will that cost $3.54 per gallon the expression three and 5400 G represents the cost for a number of gallons of fuel what does the variable g represent
Answer:
The variable g represents the number of gallons
Step-by-step explanation:
Given that
Issac would filled up his 20 gallon gas tank that cost would be $3.54 per gallon
5400 G represent the cost of the number of gallons of fuel
Here the variable g represent the number of gallons
So the same would be considered