Answer:
The measure of each angle of the parallelogram.
37∘ , 143∘ , 37∘ , 143∘.
Step-by-step explanation:
Since opposite angles of a parallelogram are equal. Therefore,
3x − 2=50 − x⇒x = 13
(3x−2)∘ = 3(13)−2 = 37∘
The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.
Another angle = 180−37=143∘
The measure of each angle of the parallelogram.
37∘ , 143∘ , 37∘ , 143∘
The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.
Answer: Dear friend my answer for this question is 86.
Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.
x + y = 14
x = 14 - y…..Eq..1
The nuber formed is 10x + y
If the number formed by reversing the digits is 18 less than the original number, what is the original number
On reversing the digit the number will be 10y + x
10y + x + 18 = (10x + y)
10y + x = 10x + y - 18
10y - y + x - 10x = - 18
9y - 9x = -18…Eq..2
Now substituting the value of x from Eq..1 to Eq..2
9y - 9 (14 - y) = - 18
9y - 126 + 9y = - 18
18y = 126 - 18
18y = 108
y = 108/18
y = 6
Thus 1s digit if the number is 6
Substituting the derived value of y in Eq..1 to derive value of x.
x = 14 - y
x = 14 - 6
x = 8
The 10s digit if two digit number is 8.
The original number formed is 86.
On reversing the digits, the number transform to 68, which is 18 less than original number
Answer the original number is 86.
At the corner store near Billy’s
house, loose mixed nuts cost
$1.75 per 100 g. Write an
equation to represent the amount
of mixed nuts, n, he can buy if he
has d dollars. Then, use your
equation to determine how many
grams of mixed nuts Billy can buy
if he has $5.
Answer:
d = 0.0175n ---> required equation
Billy can buy 285.714 gram nut with $5
Step-by-step explanation:
cost of 100g loose nut = $1.75
dividing LHS and RHS by 100
cost of 100/100g loose nut = $1.75
Thus, cost of 1 gm loose nut = $0.0175
let the weight of loose nut be n gm
Multiplying LHS and RHS by n
cost of x g loose nut = $0.0175*n = $0.0175n
It is given that Billy spent d dollars to buy n gm nuts
thus,
d = 0.0175n ---> required equation
________________________________________________
He spent $5 to buy nuts
substituting value of d as 5 we have
0.0175n = 5
=>n = 5/0.0175 = 285.714
Thus, Billy can buy 285.714 gram nut with $5.
How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?
A wheel is a circle.
Given diameter of wheel = 2.8 m
Then radius of the wheel = 2.8/2 = 1.4 m
Now we know that , circumference of circle =[tex]2\pi r[/tex]
Then,Circumference of wheel = 2 × 22/7 × 1.4
Circumference of wheel = 8.8 m
From the above we can conclude that ;
1 revolution = 8.8 m
x revolution = 484 km = 484000 m
Thus,[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]
Therefore, total of 55,000 revolutions are made by the wheel.1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
13
Step-by-step explanation:
1/3 of 6 1/2 multiply by 3/4 (56 divided by 7)
1/3* 13/2 * 3/4 * 56/7= 1*13*3*56/3*2*4*7= 13*3*56/3*56= 13
Simplify the expression
12x^-6 y^10 •3x^7y
What is the final amount if 1442 is increased by 9% followed by a 6% decrease?
Answer:
1,485.26
Step-by-step explanation:
100% is 1442
1% is 14.42
10% is 144.2
9% is 10 - 1 so its 129.78
1442 add 129.78 is 1 571.78
5% is 72.1
so add 72.1 and 14.42 86.52 and take it from 1571.78
answer is 1,485.26
Which of the following is this?
-A balanced budget
-A budget deficit
-A budget surplus
Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
879.2ft^3
Step-by-step explanation:
Find the 11th term from the end of the A.P 10,7,4.... -62.
Term 11=a+10d
Here
a=10
d= 7-10= -3
Term 11;
=10+(10×-3)
=10+(-30)
= -20 is the answer
Thank you Hope it helps dear
Answer: -32
Step-by-step explanation:
a=10, d = 7-10 = -3
First find which term is -62
an = -62
a = (n-1) d= -62
Putting values
10 + (n-1)(-3) = -62
10 + (n(-3) -1 (-3) = -62
10 - 3n + 3 = -62
13 - 3n = -62
-3n = -62-13
n = 75/3 = 25
We need to find out 11th term from the last term ie., 25 - 10 = 15th term
So we need to find a14
an = a +(n-1) d
a15 = 10+ (15-1) (-3)
= 10 + 14 (-3)
= 10 -42
= -32
So the 11th term from the 15th term from the first = -32
Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the curves y=cos(πx/2), y=0, x=0, and x=1 about the y-axis
Answer:
1,45 cubic units
Step-by-step explanation:
The method of cylindrical shells demands that the volume of the solid is given by:
[tex]V=2\pi\int_a^b xf(x)dx[/tex] (1)
In this case you have that f(x) is:
[tex]f(x)=cos(\frac{\pi}{2}x)[/tex]
a = 0
b = 1
First, you solve the integral, by parts:
[tex]\int xf(x)dx=\int xcos(\frac{\pi}{2}x)dx=x(\frac{2}{\pi})sin(\frac{\pi}{2}x)-\int (\frac{2}{\pi})sin(\frac{\pi}{2}x)dx\\\\=(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)+C[/tex]
Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):
[tex]V=2\pi[(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)]_0^1\\\\V=2\pi[(\frac{2}{\pi})-(\frac{2}{\pi})^2]=1,45u^3[/tex]
hence, the volume of the solid generated is 1,45 cubic units
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
Solve 2 - x= -7.
O A. x=-9
O B. x= 5
O C. x= -5
O D. x= 9
Answer:
x = 9
Step-by-step explanation:
2 - x= -7
Subtract 2 from each side
2- 2 - x= -7-2
-x = -9
Multiply by -1 on each side
x = 9
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
2t + 9 + 7
Idk what this isss
Answer:
2t+16
Step-by-step explanation:
this should 2t+16
because 2t contains a variable and there are no available numbers/figits that match up
and 9 +7 is 16
hope i could help
Answer:
2t +16
Step-by-step explanation:
2t + 9 + 7
Combine like terms
2t +16
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
f(n) = 9+ 5n; 64
determine which term produces the given answer?
Answer:
the 11th term
Step-by-step explanation:
f(n) = 9+ 5n;
Let f(n) =64
64 = 9+5n
Subtract 9 from each side
64-9 = 9+5n-9
55 = 5n
Divide each side by 5
55/5 = 5n/5
11= n
Expand and simplify . 5(3m+6n)-4(11m-8n) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
Answer:
-29m+62n
Step-by-step explanation:
5 (3m+6n)-4 (11m-8m)
15m+30n-44m+30n
15m-44m +32n+30n
-29m +62n
Picture attachment is below
Answer:
0.04
Step-by-step explanation:
Answer:0.04
Step-by-step explanation:4/100
What’s the cosine of U?
Step-by-step explanation:
The cosine of U is equal to the adjacent side divided by the hypotenuse.
cos(U) = 28/53
You can simplify it from there.
Jim decides to decorate a wall of his house by randomly tossing paint onto the wall. The wall is rectangular and measures 8 feet by 8 feet. The wall has a light switch panel that measures 12 inches by 6 inches. If it is equally likely that tossed paint will land anywhere on the wall, what is the probability that Jim will hit the light switch with one random toss of paint?
Round your answer to the nearest whole percent.
A. 89%
B. 64%
C. 9%
D. 1%
Answer:
i belive it is D 1%
Step-by-step explanation:
I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong
12) The sum of two natural numbers is 30. If one of the numbers is one-
fifth of the other, then what is the product of both the numbers?
a) 5
b) 25
c) 30
d) 125
Answer:
D.) 5 x 25 = 125
Step-by-step explanation:
The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.
Answer:
A) X + Y = 30
B) X = .2Y OR X - .2Y = 0
We subtract B) from A)
1.2Y = 30
Y = 25 X = 5
X * Y = 125
Answer is d.) 125
Step-by-step explanation:
Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?
Answer:
When Jeff travels more than 20 miles
Step-by-step explanation:
Let 'x' be the number of miles traveled by Jeff.
In order for the national car company to be less expensive, then the following condition must be met:
[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]
This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.
Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.
Answer:
Q1: n*m
Q2: A = 3x+6
Step-by-step explanation:
Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):
[tex]T = n*m=nm[/tex]
Q2: The area of a rectangle is given by the product of its height by its length:
[tex]A = (x+2)*3\\A=3x+6[/tex]
The area of this rectangle is given by the expression A = 3x+6.
What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? (1 point) Select one: a. 0 b. 5 c. 10 d. 15
Answer: C. / 10
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given a polynomial divided by a factor (x + h) then the remainder is f(- h)
Given
f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 19 divided by (x + 2)
To find remainder evaluate f(- 2)
f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 19
= 3(16) + 2(- 8) - 4 - 4 - 19
= 48 - 16 - 4 - 4 - 19
= 5 → B
Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line
it would be a Line
The line would be vertical right through the middle
can i get brainliest?
2.5(2z + 5) = 5(z + 2.5)
Answer:
z is any real number
Step-by-step explanation:
2.5(2z + 5) = 5(z + 2.5)
Distribute
5z + 12.5 = 5z +12.5
Subtract 5z from each side
5z -5z + 12.5 = 5z-5z +12.5
12.5 = 12.5
This is always true so z can be any real number
Answer:
All Real Numbers
Step-by-step explanation:
We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),
[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]
Solution; All Real Numbers
What is the equation in slope-intercept form of the line?
Answer:
y = 1x - 500
Step-by-step explanation:
b is were the line crosses the y axis so its -500
and to find slope you do -200-(-400) over 300-100 and it equals 1
hope this helps:)
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.
[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]
Therefore, the correct answer is choice B. Hope this helps!
Answer:
I believe it is b
How do I find the arc of a circle?\
Answer:
Step-by-step explanation:
Step-by-steP
LA FÓRMULA ES:
arc = πrΘ/180
write as an algebraic expression
Answer:
13) x=n-11
15) x=3*10
Step-by-step explanation:
I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!
Product of 3 and 10 and12