Answer:
x = 7
Step-by-step explanation:
The dashes on the lines show they are equal in length.
Therefore, by inspection of the diagram, we can see that the measures of the sides of the smaller triangle (with base 5x) are half the measures of the sides of the larger triangle (with base 70).
Therefore, creating an equation with this information:
5x = 1/2 x 70
⇒ 5x = 35
⇒ x = 7
Solution:
Note that:
2(Perimeter of smaller triangle) = Perimeter of larger triangle.This means that...
2(5x) = 70Simplify the equation and solve for x.
2(5x) = 70=> 10x = 70=> 10x/10 = 70/10=> x = 7The value of x is 7.
What is the change in volume of a rectangular prism if you double the area of one of the
faces?
a. The volume would double.
b. The volume would quadruple.
c. The volume would be multiplied by 8.
d. The volume would be multiplied by 16.
Answer:
a
Step-by-step explanation:
Volume = l*b*h = (l*b)*h =Area of base * h
If we double the area of one face
then,New Volume = (2*area of base)*h
=2*(l*b)*h = 2lbh =2 * (volume)
Math Help please show work please due soon uwu :3
Answer: 416 in^2
Step-by-step explanation:
a. Area of the Triangle x 2 + Area of Rectangle x 3
b. 8 x 7 / 2 x 2 + 8 x 15 x 3 = 56 + 360 = 416 in^2
which of the following statements holds true about the number group on the home tab. a) The number group contains options for changing the appearance of the text.
b)The number group contains option for changing the Orientation and indentation of text.
c)The number group provides various format for specifying how do you want that values in a Cell to be displayed.
d)The number group provides options for applying border around the selected range of data.
Answer:
i don't know what you're question is about
What is the area of a triangle with vertices at (−4, −6), (1, −6), and (1, 2)?
Answer:
The answer is (1,2) I'm pretty sure that is the answer if it is not please tell me I'll check.
Help worth 100 points
Dilation scale factor:-
y/x=kk=2/9Hence he found the opposite scale factor which is for enlargement .
Option DAnswer:
D
Step-by-step explanation:
To find the scale factor of dilation, measure the distance between one of the points and the center of dilation for both the original shape and the dilated shape, then compare.
Distance from (0, 0) to point A = 9 units
Distance from (0, 0) to point A' = 2 units
Let x be the scale factor of dilation:
⇒ 9x = 2
⇒ x = 2/9
So the scale factor of dilation that reduces ΔABC to ΔA'B'C' is [tex]\sf \frac29[/tex].
Therefore, the mistake the friend made was finding the scale factor that enlarges ΔA'B'C' to ΔABC
A cylinder and its dimensions are shown in the diagram.
5 in.
in.
Which equation can be used to find V, the volume of the cylinder in cubic inches?
well, from the picture, we can see the cylinder has a diameter of 5 and thus it has a radius of half that, or 2.5, and a height of "h", so
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\pi (2.5)^2 h[/tex]
What is the unknown fraction? 100 POINTS
unknown fraction plus five-tenths equals fifty-eight hundredths
A five-hundredths
B eight-hundredths
C sixty three-hundredths
D one hundred eight hundredths
Answer:
B
Step-by-step explanation:
x + 0.5 = 0.58 ? i think thats decimal but anyways
x = 0.58 - 0.5
x = 0.08 ?
sooo um
Answer:
B
Step-by-step explanation:
We have [tex]\frac{x}{x}[/tex] + [tex]\frac{5}{10}[/tex] = [tex]\frac{58}{100}[/tex]We can multiply [tex]\frac{5}{10}[/tex] by 10 to get [tex]\frac{50}{100}[/tex].Now we have [tex]\frac{x}{x}[/tex] + [tex]\frac{50}{100}[/tex] = [tex]\frac{58}{100}[/tex].Now it's a simple case of subtracting [tex]\frac{50}{100}[/tex] from both sides to get us [tex]\frac{8}{100}[/tex]. This would be answer B.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
What is the perimeter of the triangle?
What´s the answer in radical form
Step-by-step explanation:
Pythagoras
c² = a² + b²
c being the Hypotenuse (the line opposite of the 90° angle) of the right-angled triangle.
9² = 5² + side²
81 = 25 + side²
56 = side²
side = sqrt(56) = sqrt(4×14) = 2×sqrt(14)
If 5 woodchucks could chuck 50 cords of
wood in 4 days, then how many cords of wood
could 7 woodchucks chuck in 6 days?
Answer:
14 Wood
Step-by-step explanation:
50/5 = 10 Wood = 4 days
70/5 = 14 Wood = 6 Days
I hope this is correct!
105 cords of wood could 7 woodchucks chuck in 6 days
What is Equation?Two or more expressions with an Equal sign is called as Equation.
If 5 woodchucks could chuck 50 cords of wood in 4 days, and since 1 woodchuck chucks 1/5 as much wood as 5 woodchucks, then we know that.
1 woodchuck could chuck 10 cords of wood in 4 days.
Then, since a woodchuck can chuck 1/4 as much wood in 1 day as she can chuck in 4 days, we conclude that
1 woodchuck could chuck 2.5 cords of wood in 1 day.
Now we use this to find the answer of our problem. If
In one day, If 1 woodchuck could chuck 2.5 cords of wood, then
In six days ,1 woodchuck could chuck cords of wood=6×0.25
7 woodchucks could chuck cords of wood in 6 days=6×0.25×7
=105
Hence 105 cords of wood could 7 woodchucks chuck in 6 days
To learn more on Equation:
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which transformation would take figure a to figure b
Answer:
C. A reflection over the line y = -x
Step-by-step explanation:
You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).
Put that information in slope-intercept form
y = -1x + 0
You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.
y = -x
If A=1/2bxh, find A when b=4.5 and h=5.2
Answer:
A = 11.7x
Step-by-step explanation:
We can take the equation we have and "plug in" the values of b and h.
A = [tex]\frac{1}{2}[/tex]bxh
A = [tex]\frac{1}{2}[/tex](4.5)x(5.2)
A = 11.7x
Without more context, this is as far as we can get.
Please help me!!!!
I need it ASAP
Where did Hip-Hop get its start?
A. Sunderland
B. New York
C. Atlanta
D. Hendersonville
Answer:
New York
Step-by-step explanation:
15 + 10x = 40 + 4x using the elimination method
Step-by-step explanation:
Subtract 15 from both sides:
[tex]10x = 25 + 4x[/tex]
Subtract 4x from both sides:
[tex]6x = 25[/tex]
Divide each side by 6:
[tex]x = 4 \frac{1}{6} [/tex]
Please help me ………,,,
(1) (7 total points)
Line segment AB has endpoints A(-2, 0) and B(4, 8).
Point C is on the line segment AB and is located at (2.5, 6).
What is the ratio of CB
AC
? DO NOT use the Section Formula to solve this problem.
Show me: (show all math work needed to calculate each part)
a) graph of segment AB with points A, B, C labeled and showing (x, y) coordinates (3 points)
b) length of segment AC (1 point)
c) length of segment CB (1 point)
d) ratio CB
AC
(1 point)
e) reduced fraction CB
AC
(1 point)
Answer:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
3AC=CB
CB
AC
=
3
1
Since, A(1,1) and B(2,3) & m:n=1:3
Therefore, we have
C(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(
1+3
(1)(2)+3(1)
,
1+3
(1)(3)+3(1)
)
C→(
4
5
,
2
3
).
Step-by-step explanation:
Can anyone help me with this dont answer if you dont no what it is and no deleting answers
NEED ANSWER ASAP AND MARKING BRANLIEST
The given quadratic equation forms a parabola when graphed, a U-shaped line.
To find the minimum value of y, we could find the y-coordinate of the vertex.
What is the vertex?The vertex represents the maximum or minimum point on a parabola. It tells us the optimal y-value of the function and the x-value at which it occurs.
For the given quadratic, [tex]y=x^2+6x+7[/tex] the optimal y-value, or the y-coordinate of the vertex, will be a minimum. The [tex]x^2[/tex] value is positive, meaning the parabola will open upwards. (Please see below for an image representation).
Different Ways to Approach the ProblemThere are multiple ways to approach this question.
One way is to rearrange the equation, which is currently in standard form, to vertex form.
Standard form for a quadratic: [tex]y=ax^2+bx+c[/tex]Vertex form for a quadratic: [tex]y=a(x-h)^2+k[/tex] where (h,k) is the vertexAnother way is to factor the equation to first find the x-intercepts of the graph, find the x-coordinate of the vertex, then at the end, plug the x-coordinate into the equation to find the minimum y-value.
The second strategy is a bit redundant for this type of question, so we can go about solving it by using the first method.
Finding the Vertex of this Parabola[tex]y=x^2+6x+7[/tex]
First, we can group [tex]x^2[/tex] and [tex]6x[/tex] by using a set of parentheses:
[tex]y=(x^2+6x)+7[/tex]
Then, we can complete the square:
[tex]y=(x^2+6x+(\dfrac{6}{2})^2)^2+7-(\dfrac{6}{2})^2[/tex]
[tex]y=(x^2+6x+9)^2+7-9\\\\y=(x^2+6x+9)^2-2[/tex]
Apply the rule [tex]a^2+2ab+b^2=(a+b)^2[/tex]:
[tex]y=(x+3)^2-2[/tex]
Therefore, the vertex of the quadratic is (-3,-2).
This makes the minimum y-value -2. The x-value at which this occurs is -3.
Answer:The minimum y-value -2. The x-value at which this occurs is -3.
Help worth 100 points
Answer:
It is a reduction because it is smaller than the original one.
The scale factor is 1/3 because the dimensions of the dilated figure is 3 by 3 units, which is 1/3 of the dimensions of the original figure; 9 by 9 units.
Answer:
Reduction
Step-by-step explanation:
As size is decreased it's reduction
Take two sides
Bigger=9unitsSmaller=3unitsscale factor :-
k=3/9k=1/3Fabios had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
Answer:
fabio=2(carlos)-7
31=2(x)-7
31-7=2x
24=2x
x=12
Step-by-step explanation:
please help me with this
Answer:
54
Step-by-step explanation:
length times width times height
Please help also I have to show work
5•3.14159
Pls help me……………. Pls
Answer:
its 53
Step-by-step explanation:
what is the gcf for 5 and 25?
Answer:
5
Step-by-step explanation:
Because the only number that can go into 25 besides 1 is 5 and for 5 1 so your answer for the GCF or greatest common factor is 5.
hope this helps have a great day:)
Answer:
5
Step-by-step explanation:
. We are given: 5, 25The methods to find the GCF of 5 and 25 are explained below.Using Euclid's AlgorithmPrime Factorization MethodLong Division MethodAs per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)
where X > Y and mod is the modulo operator.
Here X = 25 and Y = 5
GCF(25, 5) = GCF(5, 25 mod 5) = GCF(5, 0)
GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, where X ≠ 0)
Therefore, the value of GCF of 5 and 25 is 5.
Which inequality represents the sentence below? The difference of a number and one and four tenths is more than nine and seventy-eight hundredths. P minus 1. 4 greater-than 9. 78 p minus 1. 4 less-than 9. 78 1. 4 minus p greater-than 9. 78 1. 4 minus p less-than 9. 78.
The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
Before solving it, first let's discuss the tenth and hundredths,
Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1. Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
One and four tenths can be written as,
[tex]1\dfrac{4}{10}[/tex]
Nine and seventy-eight hundredths can be written as,
[tex]9\dfrac{78}{100}[/tex]
Let suppose the number is p. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,
[tex]p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\[/tex]
Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
Learn more about the inequality equation here:
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Look at the picture it has the question
Answer:
D
Step-by-step explanation:
3^5= 243
D) 3^8=6561
3^3=27
6561/27=243
In the figure below, m< 1=4x° and m < 2= (x-5)°. Find the angle measure
Answer:
m<1=76°
m<2=14°
Step-by-step explanation:
The angles are complementary since they make a right angle. That means they add up to 90 degrees.
[tex]4x+(x-5)=90\\5x-5=90\\5x=95\\x=19[/tex]
Then you input the variable into the original values to find each angle measure.
[tex]4x\\4(19)=76[/tex]
[tex](x-5)=\\(19-5)=14\\\\76+14=90[/tex]
Write an equation of a circle that is centered at (1,-4) with a radius of 10.
Answer:
[tex](x-1)^2 + (y+4)^2 = 100\\\\[/tex]
=====================================================
Work Shown:
[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\[/tex]
You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.
The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. The perimeter around the circle is known as the circumference.
here, we have,
we know that,
the standard form of a circle equation is
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle, and r is the radius.
to get r² we simply use the given radius,
here, r = 10
so, we get,
r² = 100
now, circle that is centered at (1,-4)
so, we have,
(x - 1)² + (y + 4)² = 10²
we get, equation in standard form is therefore
(x - 1)² + (y + 4)² = 100
Hence, The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.
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What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
According to the vertex and the directrix of the given parabola, the equation is:
[tex]y = \frac{3}{4}(x - 1)^2 + 4[/tex]
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:
[tex]h = 1, k = 4[/tex]
The directrix is at y = 7, hence:
[tex]4 + 4a = 7[/tex]
[tex]a = \frac{3}{4}[/tex]
Hence, the equation is:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = \frac{3}{4}(x - 1)^2 + 4[/tex]
More can be learned about the equation of a parabola at https://brainly.com/question/26144898