Answer:
The radius is 7 cm
Step-by-step explanation:
We know the area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 = r
The radius is 7 cm
Answer:
radius = 7 cm
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
given A = 49π , then
πr² = 49π ( divide both sides by π )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7
Below are the marks obtained by 7 students out of 40 questions on a maths test.
11, 27, 10, 27, 14, 33, 11
Find the mean absolute deviation.
(If the answer is a decimal, round it to the nearest tenth.)
Answer: according to my calculator, the answer is 8.5714285714286 i hope this is correct lol,
Step-by-step explanation: Hope this helps ^_^
Frank wants to find the area enclosed by the figure at the right. The figure has semicircular on each side of a 40-meter by 40 meter square. Find area enclosed by the figure. 3. 14
(DOUBLE POINTS) Find x.
Answer: 15 and 26
Step-by-step explanation:
Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work for full credit.
Answer:
[tex]y =\dfrac{12}{5}x + 22[/tex]
Step-by-step explanation:
Slope-intercept form of line:
First find the slope of the line AB. ie, m
Slope of the perpendicular line = -1/m
(2 , 3) ⇒ x₁ = 2 & y₁ = 3
(-10, 8) ⇒ x₂ = -10 & y₂ = 8
[tex]\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}[/tex]
[tex]\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}[/tex]
[tex]\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}[/tex]
Equation of the required line: y = mx + b
[tex]y =\dfrac{12}{5}x+b[/tex]
The line passes through (-5 , 10). Substitute in the above equaiton,
[tex]10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\[/tex]
10 + 12 = b
b = 22
Equation of the line:
[tex]y =\dfrac{12}{5}x + 22[/tex]
Which values are the solutions to the polynomial equation?
0 = x2 – 18x + 65
Answer:
If the question is [tex]2x^{2} -18x+65[/tex] then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65
Answer:
x = 13, 5
Step-by-step explanation:
x² - 18x + 65 = 0
step 1: multiply (1) and (65) together
step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.
step 3: since there isn't a number in front of x² you could:
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13 x = 5
or
(x² - 13x) (-5x + 65)
x(x - 13) -5 (x - 13)
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13, 5
I hope this helps!
Determine if the situation represents a proportional relationship. Explain your reasoning.
Aaron Rodgers can throw a football 44 yards in 2 seconds. Patrick Mahomes can throw
a football 84 yards in 3 seconds. Show your work.
Answer:
Step-by-step explanation:
44/2 is 22
84/3 is 28
Patrick Mahomes can throw more yards/sec
The area of the triangle 5yd 16yd 12yd
The formula for the area of the triangle is A = 1/2bh (1/2•base•height).
Identify your base and height and substitute them into the formula. Since you did not include an image or info in which states the base and height, this is what I can say.
If the base and height are 5 and 12, the area would be 30 yds. (1/2 x 5 x 12)
If the base and height are 5 and 16, the area would be 40 yds. (1/2 x 5 x 16)
If the base and height are 12 and 16, the area would be 96 yds. (1/2 x 12 x 16)
(Pls help ASAP) (Willing to give 15 points for 2 answers) (Pls don't answer if you don't know)
The second one you have to choose GREATER THAN, LESS THAN, OR EQUAL TO
Answer:
1. y=3x
2. equal to
Step-by-step explanation:
1. The equation of the line is y=3x because the line has a y-intercept of zero and a slope of 3.
2. The y-intercept of the line on the graph is -2. The y-intercept of y=2x-2 is also -2. So, the two y-intercepts are equal to each other.
What is the slope of the line that passes through the points (-10,9) and (-10,18)?
Write your answer in simplest form.
Answer:
slope = (y₂ - y₁) / (x₂ - x₁)
18-9/-10-10
=9/0
The slope is undefined and it is a vertical line.
Step-by-step explanation:
OR
since x₂ , x₁ are the same value -10 the slope is undefined.
Round your answers to 2 decimal places
use 3. 14 for
Answer:
3
Step-by-step explanation:
0.1 rounds to 0 and 0.04 also rounds to zero. Therefore, the answer is 3.
Triangle ABC is similar to triangle XYZ
Which series of transformations correctly maps △ABC to △XYZ?
Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.
Dilate △ABC by a scale factor of 1/2 centered at the origin, then rotate the result 180∘ about the origin.
Dilate △ABC by a scale factor of 1/2 centered at the origin, then reflect the result across the x-axis.
Dilate △ABC by a scale factor of 2 centered at the origin, then reflect the result across the x-axis.
Answer: Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.
Step-by-step explanation:
Twice a number is 500 more than six times the number. What is the number?
Answer:
-125
Step-by-step explanation:
Twice a number is x*2
x*2 = 500 + x*6
=> x = -125
Some of Mr. Edward's students want to buy him a gift. If each of
them pays $2, they will be short of $4 for the gift. If each of them
pays $3, there will be an extra $3. How much does the gift cost?
Answer:
It depends on how many students there are in Mr. Edwards class
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
x is 3 values that sum to at least 23
Step-by-step explanation:
[tex]\frac{8+7+5+9+10+7+6+x}{10}=\frac{52+x}{10}[/tex][tex]\frac{52+x}{10}=7.5[/tex][tex]52+x=7.5\times 10=75[/tex][tex]x=75-52=23[/tex]The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the ________.
The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance
You are trying to help Rhonda understand the concept of a 5% slack in the line. You explain that having a 5% slack means that the length is 5% longer than it would be if it were completely straight. You compare ️ABC to Figure DEF, where curve DE is 5% longer than line segment AB.
Enter curve DE, given the curve is 5% longer than line segment АВ.
The length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC. The measure of the curve DE is 10.5 units
Pythagoras theoremThe theorem states that the length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC.
According to the theorem;
AB^2 = AC^2 + BC^2
AB^2 = 6^2 + 8^2
AB^2 = 36 + 64
AB = 10
If the curve DE is 5% longer than line segment АВ, the measure of curve DE is given as;
DE = 1.05 * 10
DE = 10.5
Hence the measure of the curve DE is 10.5 units
Learn more on Pythagorean theorem here: https://brainly.com/question/343682
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Which idea is most directly related to Lamarck’s beliefs about evolution?
Answer:
make me brinliest
Step-by-step explanation:
he sai that evolution occurs because of changes during lifetime passed onto offspring
Record: 0/2 Score: 0 Penalty: 1 off
Complete: 79
Emily Trelow
Transforming Formulas
The formula to calculate the gravitational force between two objects is F₁ = GM₁M₂,
where M₁ and M₂ are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M₁ in terms of F, G, M₂ and r.
Answer: M₁ =
Submit Answer
Newton's Law of Gravitation:
Statement: According to this law, when two mass bodies are separated at finite distance then there must be an attractive force experience by them which is directly proportional to the product of their masses and inversely proportional to the square of their separation.
Consider two mass bodies m1 & m2 be kept at distance d. Then the force of attraction F is given as
[tex]Fam_{1}.m_{2}[/tex]
[tex]Fa1/d^2[/tex]
Now, from above equations, we have
[tex]Fa\frac{m_{1}m_{2}}{d^2}[/tex]
or, [tex]F=G\frac{m_{1}m_{2}}{d^2}[/tex]
Here [tex]G=6.67*10^{-11}Mm^2kg^{-2}[/tex] is the universal gravitational constant.
How do I answer this question?
Answer:
320
Step-by-step explanation:
38-14=24:2=12
12x 16:2=128x2= 256
14 x 16 =224+256= answer 320
Answer:
(c) 416 cm²
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
__
Using the given dimensions, the area is found to be ...
A = 1/2(14 cm +38 cm)(16 cm) = (1/2)(52 cm)(16 cm) = 416 cm²
The area of the figure is 416 cm².
Please help! It’s to early for my brain to function :/
Answer:
The answer is B
Step-by-step explanation:
Distance formula- √(x2-x1)² + (y2-y1)²
Step 1: Plug in your values.
√(4a-a)² + (0-(-2b)²
Step 2: Substitute
√(3a)² + (2b)²
It cannot be simplified anymore, so your answer is:
B (√(3a)² + (2b)²)
(Please give brainliest if it helps!)
Which inequality represents the graph?
z≤-10 z≥-10
z-10 z<-10
K
+
-25-20 -15-10 -5
0
0
5
O
Answer: [tex]z \ge -10[/tex]
Reason: The graph shows all values that are z = -10 or larger.
The closed endpoint at -10 indicates we include it with an "or equal to".
If it was an open hole endpoint, then we'd say z > -10 instead.
The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?
Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
If the equation x²−8x−5=0 can be transformed into the equation (x−p)²=q, then value of q is 21
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To transform the equation x² - 8x - 5 = 0 into the equation (x - p)² = q, we need to complete the square by adding and subtracting a constant term.
First, let's add 5 to both sides to get:
x² - 8x = 5
Applying complete square method
we need to add and subtract 16 inside the parentheses on the left-hand side:
x² - 8x + 16 - 16 = 5
Simplifying the left-hand side gives us:
(x - 4)² - 16 = 5
Adding 16 to both sides gives us:
(x - 4)² = 21
Therefore, the value of q is 21.
To learn more on Equation:
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omg pls help and include work if you can. please simplify
rad 128 can be broke into 64*2
square root of 64 is 8, times -5,
which leaves -40rad2
18t
What is the value of t?
12t
15t
does anyone know the answers to these blank questions?
if so pls type it in! thank you!!
( pic question uploaded )
Answer:
h = 21
n = 60
p = 7
Holly opened a savings account at a local bank. She deposited $3,100.00 into the account 9 years ago. If the account earns an
annual simple interest rate of 7.1%, how much interest has she earned?
Answer:
She has earned $1980.90 in interest.
Step-by-step explanation:
Since we know that she deposited $3100 9 years ago, we know we have to find the amount of interest she gets per year times 9. So $3100*0.071 = $220.10 and then $220.1*9 = $1980.90. Therefore, she has earned $1980.90 in interest.
Answer:
The answer is 1980.9
Step-by-step explanation:
Formula is PxRxT
P=Princlple(Amount of money desposited)
R=Rate the rate in deciaml form. Example: 7.1=0.071
T=Time
SI=3100x0.071x9=1980.9
P R T
PLS HALP!
Bisect line segment AB.
Steps.
1. Center your compass at A so that it measures more than half way to B. Draw arcs above and below segment AB.
2. Using the same compass measurement as step 1, center your compass at B. Draw two arcs above and below segment AB so that they intersect the arcs from step 1. Name these intersection points C and D.
3. Draw line CD.
4. Name the intersection of line segment AB and line segment CD, point M.
5. CD is a segment bisector of segment AB.
Answer:
Shown in the photo
Step-by-step explanation:
I just followed the steps. If you need more help let me know :)
How many 1/2 are in 1 whole
1/2 is equal to 0.5. If we multiply this amount by 2, then we get 1. There are 2 halves in a whole.
Answer:
There are 2 halves in a whole. If you split 1 in 2 you get 0.5, or 1/2.
What is the following product? startroot 30 endroot times startroot 10 endroot
Answer:
Hello there! 10 square of 3
help plsssssssssssssss
Explanation:
The arc markings for each angle show that we have two pairs of congruent angles (angle O = angle Q, angle M = angle R). This takes care of the two "A"s in "ASA". The tickmarks show us that the sides MO and RQ are the same length, so this takes care of the "S" of "ASA". Note the congruent sides are between the angles mentioned. The order is important.