Answer:
(3, -1)
Step-by-step explanation:
12×1/4=3
-4×1/4=-1
The coordinates of C' after dilation with a scale factor of 1/4 are (7, -3).
To find the coordinates of C' after dilation, we need to apply the scale factor to the original coordinates of C (12, -4). Since the triangle is dilated with respect to the origin, we can calculate the new coordinates by simply multiplying the original coordinates by the scale factor, which is 1/4.
C' coordinates: (12 * 1/4, -4 * 1/4) = (3, -1)
However, since the triangle is not dilated with respect to the origin, we need to adjust the coordinates according to the translation of the dilation center. In this case, the dilation center is at vertex A (4, -2).
Translation vector: (4 - 0, -2 - 0) = (4, -2)
Final coordinates of C': (3 + 4, -1 - 2) = (7, -3)
So, the coordinates of C' after the dilation are (7, -3).
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A circle has a diameter with endpoints at (12, 6) and (7, –6). What is the circumference of this circle?
25 POINTS!
Select the correct answer from each drop-down menu. Round your answers to the nearest hundredth.
This table shows information from a survey about the type of coffee people prefer and whether they like it hot or cold.
of the people who prefer mocha, the relative frequency of them preferring it cold is 0.32
of the people who prefer hot coffee, the relative frequency of them preferring a latte is 0.22
The type of coffee that has the highest percentage of people who prefer it cold is a. regular b. mocha c. latte
the answer is not cappuccino!
Answer:
0.32
.22
regular (capuccino is incorrect)
Step-by-step explanation:
in the mocha column 25 people prefer hot and 12 people prefer cold are equal to 37 people. 25+12=37
relative frequency of preferring cold is 12. 12÷37 = .32
In the hot column 11, 25, 19, 30 people are combined for total of 85 people who prefer hot coffee. 11+25+19+30=85
relative frequency of preferring a latte is 19: 19÷85 = .22
combine regular column for 17 ÷ 28 = .61
combine mocha column for 12÷40 = .30
combine latte column for 20÷39 = .51
combine cappucino column for 27÷57 = .47
The type of coffee that has the highest percentage of people who prefer it cold is regular. (if you combine only the cold column you will end up with cappuccino which is wrong.)
please help
find the value of x in the isosceles triangle shown below.
V80
V80
Answer:
Option A. x = 8
Step-by-step explanation:
Please see attached photo.
From the attached photo,
we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:
(√80)² = 8² + y²
80 = 64 + y²
Collect like terms
80 – 64 = y²
16 = y²
Take the square root of both side
y = √16
y = 4
Finally, we shall determine the value of x. This can be obtained as follow:
From the attached photo,
x = 2y
but:
y = 4
Therefore,
x = 2y
x = 2 × 4
x = 8
Elsa spent a total of $60 at the grocery store of this amount, she spent $27 on fruit. what percentage of the total did she spend on fruit?
Answer:
She spent 45 percent on fruit.
To what degree is this polynomial function?
A) second
B) third
C) fourth
D) fifth
help please i’ll mark brainliest & give extra points
Answer:
1400 miStep-by-step explanation:
The triangle CHE is right, angle CHE is marked as right angle.
We have:
CD= CH = 3960 miDE = 240 miEH = ?Use Pythagorean theorem to find the value of EH:
CE² = CH² + EH²CE = CD + DE = 3960 + 240 = 4200Substitute known values and solve for EH
4200² = 3960² + EH²EH² = 4200² - 3960²EH² = 1958400EH = √1958400EH = 1399.42 ≈ 1400 mi (rounded)whats the solution to the given system of equations?
-5x+8y=-36
5x+7y=6
Answer:
x=4, y=-2
Step-by-step explanation:
-5x+8y=-36
5x+7y=6
eqn 1+ eqn 2 gives
15y=-30
divide both sides by 15
y=-2, put in eqn 2
5x+7(-2)=6
5x=20 divide both sides by 5
x=4
y/3 + 2 = 14 I need help
Answer:
y = 36
Step-by-step explanation:
[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]
Help plssssss!!!!!!!!!!
Answer:
-4
Step-by-step explanation:
5x+ 1/4= 61/4
I’m trying to figure out what x is
I READ IT WRONG AHH
Answer:
3
Step-by-step explanation:
5x + 1/4 = 61/4
-1/4 -1/4
5x = 15
/5 /5
x = 3
Answer:
x=3
Step-by-step explanation:
5x+1/4=61/4
5x=61/4-1/4(61/4-1/4, they have the same denominator so can subtract them with each other)
5x=60/4 (60/4=15)
5x=15
x=15/5
x=3
Tip :to check your answer simply plug in the value and then solve the equation. If both the sides are equal to each other, the answer is most likely correct.
What percent of the time will the point be in the shaded region
Answer:
29.4%
Step-by-step explanation:
the whole cirlce is 360 degrees which means 100%
to find the percentage of the shaded area, multiply the degrees by 100
⇒ 10.6 x 100 = 10600
then take the product and divide by 360
⇒ 1060 ÷ 360
⇒ 29.44
round to the nearet tenth of a percent
⇒ 29.4
Pl S help pls np helps helpss
Answer:
2 dollars each I think........
Which expression is equivalent to 4/144a12p3 ? Assume a>0 and >0
Help fast
Can someone explain to me how to do this please.
A line in the standard (x,y) coordinate plane passes through the points (-2,-6) and (5,3). The slope of the line.
A.) is positive
B.) is zero
C.) is negative
D.) is undefined
E.) cannot be determined from the given information
An average speed of a moving car is 65 km per hour with a standard deviation of 4. What is the probability that the speed is less than 60?
A. -0.1056
B. -1.25
C. 1.25
D. 0.1056
Help please
[tex] \frac{2p + 1}{5p + 6 } = \frac{1}{7} [/tex]
Please and thanks
Answer:
[tex]p=-\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{2p+1}{5p+6}=\frac{1}{7}[/tex]
Use cross products,
[tex]7(2p+1)=1(5p+6)[/tex]
Distribute,
[tex]14p + 7 = 5p + 6[/tex]
Inverse operations,
[tex]14p+7=5p+6\\-5p\\\\9p + 7 = 6\\-7\\\\9p = -1\\/9\\\\p = -\frac{1}{9}[/tex]
Someone ease help need work for evidence also
I'm clueless if u guys know how to do this pls help
Answer:
It is between A and D, all the problem is about predictions and how this predictions are tricked.
Step-by-step explanation: Just make some draws of the number and colors of the marbles, and add the white marbles to the red ones, there is 6 of them, they take out of the bag two, so there are still being four, a hundred is all a number (?) so divided 100 % in 4/ there is 25, is D just take D. Sorry man im tired.
Kim borrows $3000 for two years. Interest is charged at a rate of 10%. How much interest is paid
Please help!!
Find the value of x to the nearest tenth.
Answer:is it 1
Step-by-step explanation:
Does 1, 2, 5, make a right triangle
a^2 + b^2 =c^2
1^2 + 2^2 = 1+4 = 5
so no it doesn't make a right triangle
Are the ratios 1:2 and 9:18 equivalent?
yes
no
Answer:
Yes
Step-by-step explanation:
A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. How much did the bake sale raise?
Answer:
$159.75
Step-by-step explanation:
137.45/252.60 + x = 1/3
252.60 + x = 412.35
x = 412.35 - 252.60
x = 159.75
Answer:
297.2
Step-by-step explanation:
549.8 ÷ 4 = 137.45
549.8 - 252.60 = 297.2
11:59
Question 1
2 pts
In isosceles triangle JKL, JK KL. If the measure of
angle J is 47°, find the measure of angle K.
*Note: Do NOT include the degree in your answer.
Answer:
86
Step-by-step explanation:
Since ∆JKL is an isosceles triangle, it's base angles (<L and <J) would be equal to each other.
<L is opposite to side JK, <J is opposite to side KL.
m<J is given as 47°. Therefore,
m<L = m<J = 47°
m<L = 47°
m<J + m<L + m<K = 180° (sum of triangle)
47° + 47° + m<K = 180° (substitution)
94° + m<K = 180°
m<K = 180° - 94°
m<K = 86°
Which equation represents the partial sum of the geometric series?
A. 125 + 25 + 5 + 1
B. 25 + 5 + 1 + one-fifth
C. 1 + one-fifth + StartFraction 1 Over 25 EndFraction + StartFraction 1 Over 125 EndFraction
D. StartFraction 1 Over 125 EndFraction + one-fifth + 5 + 125
Answer:
d
Step-by-step explanation:
The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
What is Geometric series?
Geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.
Given that;
The geometric series.
∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.
Now, Calculate the partial sum of the geometric series as;
The geometric series = ∑ 125 (1/5)ⁿ⁻¹
Substitute n = 1, 2, 3, 4, we get;
= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹
= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³
= 125 + 25 + 125/25 + 125/125
= 125 + 25 + 5 + 1
Thus, The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
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Can someone please help me I’m giving brainliest
Answer:
i know its 17 just had the test
Step-by-step explanation:
Maria is making a map of Europe. The continent is 1,339 miles by 2,076 miles. If her scale is 1 inch - 50 miles, how large will her map be?
26.78 x 41.52 inches
133.9 x 207.6 inches
669.5 x 1,038 inches
1,339 x 2,076 inches
Answer: Did you find the answer?
Step-by-step explanation:
A camera has a listed price of $876.99 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cerit, as necessary
Answer:
$936.18
Byehave fun k bye
question 9: find the radius of the cylinder with a volume of 45m cubed and a height of 9m round your anwser to the nearest tenth.
Answer:
1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer
Step-by-step explanation:
I’m having trouble. Help me please!!!
Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
The altitudes of triangle DEF intersect at point
Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
[tex]m_1=\frac{7-0}{3-0}=\frac{7}{3}[/tex]
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
[tex]y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)[/tex]
The slope of the line joining E(7,0), and F(3,7). is:
[tex]m_1=\frac{7-0}{3-7}=-\frac{7}{4}[/tex]
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)[/tex]
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7