Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
Need help with finding the mean (MATH 7th GRADE)
Answer:
mean = 49.25
Step-by-step explanation:
mean = sum of all the number ÷ amount of number
mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8
mean = 49.25
mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8
mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8
mad = 0/8
mad= 0
brainliest is appreciated
Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)
Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Use the shell method to compute the volume (CALCULUS HELP!!!)
Use the shell method. The volume is
V = 2π ∫₅⁸ (x - 5) x ² dx
V = 2π ∫₅⁸ (x ³ - 5x ²) dx
V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸
V = π/6 (3x ⁴ - 20x ³) |₅⁸
V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
V = 891π/2
The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answer:the width is 3 feet
Step-by-step explanation:
Given tan theta = -2 and pi/2 < theta < pi; find cos2theta.
a. - 4/3
b.- 4/5
c. 3/4
d. - 3/5
PLEASE HELP ASAP
Answer:
Cos 2theta = -3/5
Step-by-step explanation:
Given that;
tan theta = -2
tan theta = -2/1 = opp/adj
hyp^2 = (-2)^2+1^2
hyp = √4+1
hyp = √5
sin theta = opp/hyp
sin theta = -2/√5
Cos theta = adj/hyp
Cos theta = -2/√5
Cos 2theta = 1-2sin^2 theta
Cos 2theta = 1- 2(-2/√5)^2
Cos 2theta = 1- 2(4/5)
Cos 2theta = 1- 8/5
Cos 2theta = (5-8)/5
Cos 2theta = -3/5
Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (Forbes website, April 10, 2012). But, does trust in Pinterest differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on Pinterest. Women Men Sample 150 170 Trust Recommendations Made on Pinterest 117 102 a. What is the point estimate of the proportion of women who trust recommendations made on Pinterest (to 2 decimals)?
Answer:
The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.
Step-by-step explanation:
To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.
In this question:
150 women
117 trust recommendations made on Pinterest.
Point estimate:
[tex]p = \frac{117}{150} = 0.78[/tex]
The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.
Estimate the area of the circle. Use 7/22 for π
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
Which could be the function graphed below?
9514 1404 393
Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
[tex]f(x)=\sqrt{x}-2[/tex]
Answer:
the answer is A.
Step-by-step explanation:
:))))))
PLEASE HELP ME ANYONE :(
Answer
B
Step-by-step explanation:
5*5*6=150
Answer:
150
Step-by-step explanation:
Please help me this is due in 20 minutes!!!!!!!
Answer:
The two triangles are very similar by them both having the same kind of angles even though they are different in size, like, an acute angle.
I'm not sure if this helped or not hopefully it did good luck.
Algebra 2
L.3 Multiply polynomials BGN
Answer:
x² + 4x
Step-by-step explanation:
Area of the rectangle = length × width
length = x + 4
width = x
Therefore,
Area = x(x + 4)
Area = x*x + x*4
x² + 4x
Hi I have a question pls DON’T give a link
Answer:
5. x=11
6.x=9
Step-by-step explanation:
5. 8 x 3=24
264/24=11
6. 4.5 x 4= 18
162/18=9
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm
Please help me thanks! :)
Answer:
eyjdnfbhs
Step-by-step explanation:
HELP PLEASE QUICK!!!!!
Answer:in what can I help
Step-by-step explanation:
Find the volume of the prism
Can anyone please help me with this question?
Answer:
d
Step-by-step explanation:
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Please help me ASAP please
Answer:
217=31m; m=7, 7 miles per day
Step-by-step explanation:
217/31=m 217=31m, just divide the total number of miles by the number of days
May you solve this for me?
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
Which point is located in Quadrant ll? (-4,5) (-4,-5) (4,-5) (4,5)
Answer:
(-4,5)
Step-by-step explanation:
that is the top left quadrant which means the x value has to be negative but the y value has to be positive
The Wells family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number
Answer:
4 gallons/1 day
Step-by-step explanation:
What is a rate? A rate is writing a ratio in fraction form. A ratio is the proportion of two things. (ex: for every 1 dog, there are two cats.)
Creating the ratio: For the ratio, there is no given amount of which one needs to come first, but because it is about the milk, I put that first. In the problem it says 12 gallons for 3 days so: 12/3
Simplifying: To simplify, think of the largest factor between the two numbers. If you can't immediately, think of one factor in common and keep simplifying. In this case, 4 is the greatest common factor between these. To simplify, divide both sides by four, and that is your answer: 4: 1
Determine the Geometric mean of 18 and 27
Answer:
The geometric mean of 18 and 27 is 22.045407685
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
22.045407685
Step-by-step explanation:
[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix
Answer:
4 by 3
Explanation:
Rows by columns
Let X and Y be independent Bernoulli random variables with parameters 0.2 and 0.3, respectively. Find the distribution of X Y. List all possible values that X Y can take. Write your answer as a comma-separated list ordered from smallest to largest value. possible values: List the probabilities that X Y takes each of the values. Write your answer as a comma-separated list giving the probabilities in the same order as in (a)
Answer:
a) 0 , 1
b) 0.56 , 0.06
Step-by-step explanation:
X = 0.2
Y = 0.3
Find the distribution of X + Y
a) All the possible values of X + Y
The possible values of X + Y are ; 0,1
b) The probabilities that X + Y takes each of the values
P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56
P( X +Y = 1) = 0.2*0.3 = 0.06
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
Find lateral surface
area of the play tent.
h = 4 in
14 in
5 in
5 in
W
6 in
Answer:
224 in.²
Step-by-step explanation:
The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.
Lateral surface area of a triangular prism = Perimeter of base × height of prism
Perimeter of base = 5 + 6 + 5 = 16 in.
Height of prism = 14 in.
Plug in the values
Lateral Surface Area = 16 × 14 = 224 in.²
may someone please help? thank you!
Answer:
[tex]6\sqrt2\\OR\\8.48528137[/tex]
Step-by-step explanation:
The area of a sector of a circle is found by:
[tex]A = \frac{\theta*r^2}{2}[/tex]
The question asks for the radius so the equation above can be repurposed
[tex]r = \sqrt\frac{2A}{\theta}[/tex]
A = 3pi
angle = pi/12
[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]
[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
What is the area of the triangle?