Answer:
The measure of the sides is 20 cm.
Step-by-step explanation:
Opposite side of a parallelogram:
Opposite sides of a parallelogram are congruent, that is, they have the same measure.
Measures (2x+10) cm and (x+15) cm:
This means that:
[tex]2x + 10 = x + 15[/tex]
[tex]2x - x = 15 - 10[/tex]
[tex]x = 5[/tex]
2x + 10 = 2*5 + 10 = 10 + 10 = 20
The measure of the sides is 20 cm.
Solve for Y= 1680 + 0.72
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:
:))))))
Lacey and Rita are adding books to their class libraries. Lacey’s classroom started out with 14 books and she plans to but 2 more books per week. Rita started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?
Answer:
in 8 weeks they will each have 30 books
Step-by-step explanation:
Lacey: y = 2x + 14
Rita: y = x + 22
y = # weeks
x = # books
set equations equal to each other:
2x + 14 = x + 22
x + 14 = 22
x = 8
solve for 'y':
y = 8 + 22
y = 30
PLSSS HELP ME ASAPPPPPPP
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Related questions
Circle the like terms in each expression. Then identify the coefficients of the like terms. -x^2y + (-xy) + 2xy + (-2xy^2 ) 7 + 7c + 3 + 7c^3 + (-4)
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
Part A: How can I write algebraic expression for 4 more than 3 times a number. (5 points) Part B: How can I write verbal expression for 2(n + 9). (5
ATTENTION - IN ALL THE QUESTIONS N=18 PLEASE MAKE SURE TO USE N=18 IN EVERY QUESTION In the problems #1a,b simplify the expressions and prese
Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
help please! need asap
Answer:
2
Step-by-step explanation:
6×3÷4=2
Hope this helps you
13 inches = _/ _ ft (in fraction)
Answer:
1 1/12 ft
Step-by-step explanation:
12 inch per foot
13in - 12in = 1 in
1 in left over
1 1/12
Answer:
1ft. 1in.
6/1 is the answer
What is the area of the triangle?
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:
PLEASE HELP ME ANYONE :(
Answer
B
Step-by-step explanation:
5*5*6=150
Answer:
150
Step-by-step explanation:
Please help me thanks! :)
Answer:
eyjdnfbhs
Step-by-step explanation:
Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.
C=s(3h+5)
C
= total cost
s
= number of pairs of ice skates
h
= number of hours
How much will it cost to hire 4 pairs of ice skates?
s = 4
h = 3
C = ?
C = s(3h + 5)
C = 4(3·3 + 5)
C = 4(9 + 5)
C = 4(14)
C = ?
ANSWER: It costs 56 dollars
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:
square root of 27 lies between which two natural numbers?
Answer:
5,6
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
5² = 25
6² = 36
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
Can someone PLEASE HELP FOR 15 POINTS!
(Classify each pair of angles listed below as adjacent or vertical)
Mr. Farris drives 7 1/2 miles directly west of his home to a restaunt.he then drives 8 2/3 miles directly east of the restauant to his office. how far , and in what direction is his office from his home ?
Answer:
2 1/6
Step-by-step explanation:
8 2/3 - 7 1/2 = 2 1/6
9514 1404 393
Answer:
1 1/6 miles east of home
Step-by-step explanation:
If we consider east to be positive, then the distance from home to office is ...
(-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6
Farris's office is 1 1/6 miles east of his home.
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
Shenelle has 100 meters of fencing to build a retangular Garden. The garden's area as a función of the garden's widrh X is modeled By A(x)= -(x-25)+625
Answer:
625 metres
Step-by-step explanation:
Given the area function expressed as a(w)=-(w-25)^2+625.
The maximum area occurs at when da/dw = 0
da/dw = -2(w-25)
0 = -2(w-25)
-2(w-25) = 0
w - 25 = 0
w = 25
Substitute w = 25 into the modeled equation;
Recall a(w)=-(w-25)^2+625.
a(25)=-(25-25)^2+625
a(25) = 0+625
a(25) = 625
Hence the maximum area possible is 625 metres
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
Find the volume of the prism
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]
PLEASE HELP ME!!!
No links ,answers only!!!
Answer:
[tex]f(-4) = 64[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,1)[/tex]
Required
Find f(-4)
We have that:
[tex]y = ab^x[/tex]
For [tex](x_1,y_1) = (1,2)[/tex]
[tex]2 = ab^1[/tex]
[tex]2 = ab[/tex]
For [tex](x_2,y_2) = (2,1)[/tex]
[tex]1 = ab^2[/tex]
Rewrite as:
[tex]1 = ab * b[/tex]
Make b the subject
[tex]b = \frac{1}{ab}[/tex]
Substitute: [tex]2 = ab[/tex]
[tex]b = \frac{1}{2}[/tex]
Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]
[tex]2 = a * \frac{1}{2}[/tex]
[tex]a = 2 * 2[/tex]
[tex]a = 4[/tex]
To calculate f(-4), we have:
[tex]f(x) = ab^x[/tex]
[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]
[tex]f(-4) = 4 * 16[/tex]
[tex]f(-4) = 64[/tex]
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
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%
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
9/10 divided by 3/4
3/4 divided by 9
6/9 divided by 6/7
5/6 divided by 3/10
Answer:
9/10 divided by 3/4 is 6/5
3/4 divided by 9 is 1/12
6/9 divided by 6/7 is 7/6
5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9
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.
[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