Answer:
multiply the probability by amount of times
1/6 chance x 30 times
1/6 x 30/1 = 30/6 = 5 2's rolled
5 times
Hope this helps
Step-by-step explanation:
What is the area of the right triangle below?
12
15
Answer:
90 units^2
Step-by-step explanation:
Area of a triangle = 1/2 x b x h
assuming that 12 and 15 are its measurements,
I am going ahead with:
1/2 x 12 x 15 = 1/2 x 180 = 90units^2
since cm or m is not given I have written units. Please change accordingly.
Hope this helps
2x³ - 1 = 53 Please include explanation if possible.
Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.
Answer:
280 ft2
Step-by-step explanation:
The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.
The area of one of these rectangles is:
[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]
Then, the area of the seven rectangles is:
[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]
So the lateral area of this prism is 280 ft2.
What is the length of CD? in this diagram ABC ~ EDC
Answer & Step-by-step explanation:
These triangles are similar. This means that they are going to have the same ratios within their different sides.
AC and CE already have measurements so we are going to find the ratio between them. We can do this by dividing 21 by 7.
21 / 7 = 3
So, since the ratio between AC and CE is 3, then the rest of the triangle has a ratio of 3 with the other triangle.
So, let's set up an equation so we can find the value of x.
21/7 = (20 - x)/x
Cross multiply.
21x = 140 - 7x
Add 7x to both sides of the equation.
28x = 140
Divide 28 from 140.
x = 5
Now that we have the value of x, then we can find the measurement of CD.
The measurement of CD is 5.
Answer:
5
Step-by-step explanation:
a-p-e-x
Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.
Answer:
Inequality for donuts and brownies is;
d ≥ 1 ≤ b
Step-by-step explanation:
We are told that aria will buy donuts and brownies.
We are also told that, number of donuts is d while number of brownies is b.
We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.
So the inequality will be;
d + b ≥ 6
Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b
Answer: d+b≥6 is the correct answer trust me
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]
.
[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]
What is the vertex form of the quadratic function that has a vertex at (2, 1)
and goes through the point (3,-2)?
Answer:
The function is y=-2(x-2)²+3
Step-by-step explanation:
All work is attached :)
please mark me brainliest :)
Solve for a. 1/4(20−4a)=6−a 0 all real numbers −1 no solution
Answer:
No solution
Step-by-step explanation:
=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]
=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]
=> [tex]5-a=6-a[/tex]
Adding a to both sides
=> [tex]5-a+a=6-a+a[/tex]
=> 5 ≠ 6
So, this equation has no solution.
. A solid metallic cylinder of diameter 12 cm and height 15 cm is melted and recast into toys in the shape of a right circular cone mounted on a hemisphere as shown in the figure. If radii of the cone and hemisphere are each equal to 3 cm and the height of the toy is 7 cm, calculate the number of such toys that can be formed.
Answer: 18
Step-by-step explanation:
Diameter of cylinder = 12 cm
Radius = 6 cm
Height = 15 cm
Volume of a cylinder = πr^2h
= π x 36 x 15 cm^3
Volume of toy = volume of cone + volume of hemisphere
1/3πr^2h + 2/3πr^3
1/3πr^2 (h + 2r)
1/3π x 3 x 3 (4 + 2 x 3)
= 30π cm^3
Therefore, no of toys =
Volume of cylinder / volume of toy
36 x 15 x π / 30 x π
= 18
Find the area of a triangle that has a base of 6 foot in the height of 5 foot
Answer:
15 ft²
Step-by-step explanation:
Area of a Triangle Formula: 1/2bh
We are given b and h. Simply plug them in and calculate:
1/2(5)(6)
3(5)
15
somebody help me please
Answer:
Y-x=0
i got it right on the lesson
Answer:
the last option is the answer
Step-by-step explanation:
test with point (1,1)
-x-y = 0
-1-1 ≠ 0
-2 ≠ 0
test with point (5,5)
-x-y = 0
-5-5 ≠ 0
-10 ≠ 0
a work out the value of 1^2+2^3+3^4 b work out the value of 4^2 x 2^4
Answer:
Below in bold.
Step-by-step explanation:
Use order of operations: the exponents are calculated first, then multiplication, then addition.
a. 1^2+2^3+3^4
= 1 + 8 + 81
= 90.
b. 4^2 * 2^4
= 16 * 16
= 256.
Answer:
90 and 256.
Step-by-step explanation:
1^2 + 2^3 + 3^4
Solve for the powers or exponents first.
1 + 8 + 81
Add the numbers.
= 90
4^2 × 2^4
Solve for the powers or exponents first.
16 × 16
Multiply the numbers.
16^2
= 256
Find the value of x.
Answer:
Step-by-step explanation:
We have both a secant and a tangent to that circle. The formula is, using the numbers we were given:
[tex]60^2=48(48+x)[/tex] and
3600 = 2304 + 48x and
1296 = 48x so
x = 27
solve for q.
5q + 2p + 4 = 3q – 8
Answer:
q = -p-6
Step-by-step explanation:
=> 5q+2p+4 = 3q-8
(Combining like terms)
=>5q-3q = -2p-8-4
=> 2q = -2p -12
=> 2q = 2(-p-6)
Dividing both sides by 2
=> q = -p-6
[tex]q = - p - 6[/tex]
[tex]5q + 2p + 4 - 3q = - 8 \\ 2q + 2p + 4 = - 8 \\ 2q + 4 = - 8 - 2p \\ 2q = - 8 - 2p - 4 \\ 2q = - 12 - 2p \\ \frac{2q}{2} = \frac{ - 2p - 12}{2} \\ q = \frac{ - 2p - 12}{2} \\ q = - p - 6[/tex]
Here is a list of numbers.
13 27 81 21 43 48 23 39 45
From this list, write down
a) The even number.
48
b) The square number.
81
c) All the prime numbers.
Answer:
13,27,43,23,39.
i think these r the prime numbers
The prime numbers are:
13, 43, 23
2/7 · x = 1/11 please help!!!!
Answer:
x=[tex]\frac{7}{22}[/tex]
Step-by-step explanation:
To solve for x, you need to isolate it. The first step is dividing by [tex]\frac{2}{7}[/tex] on both sides. Dividing by a fraction is just like multiplying by the reciprocal, so really you are multiplying both sides by [tex]\frac{7}{2}[/tex]. [tex]\frac{1}{11}[/tex] × [tex]\frac{7}{2}[/tex] =[tex]\frac{7}{22}[/tex]
(2, infinity)
What is the answer to this question?
Please help
Answer:
TO INFINITY AND BEYOND! No, i'm jk. It's the last one
Step-by-step explanation:
(It's the last one)
Unicode ∞) represents something that is boundless or endless, or else something that is larger than any real or natural number.
Tin of biscuits come in three sizes. There are 28 biscuits in a small size and four times as many in the medium size. In the large size there are seven times as many as in small size how many biscuits are in the small and large size
Answer:
There are 28 biscuits in a small size.
There are 112 biscuits in a medium size.
There are 196 biscuits in a large size.
Step-by-step explanation:
Tin of biscuits come in three sizes:
SmallMediumLargeLet S denote biscuits in small size.
Let M denote biscuits in medium size.
Let L denote biscuits in large size.
There are 28 biscuits in a small size and four times as many in the medium size.
Mathematically,
S = 28
M = 4S
Substitute S = 28
M = 4(28)
M = 112
In the large size there are seven times as many as in small size.
L = 7S
Substitute S = 28
L = 7(28)
L = 196
Therefore,
There are 28 biscuits in a small size.
There are 112 biscuits in a medium size.
There are 196 biscuits in a large size.
Simplify (3^-2)^4
Arrows mean it’s a exponent .
A.) 1/3^2
B.) 3^8
C.) 3^2
D.) 1/3^8
Answer:
D
Step-by-step explanation:
Answer:
D)1/3^8
Step-by-step explanation:
(3^-2)^4
3^-8
1/3^8
3 raised to the power of 8
1/6561 or 1/3^8
Write as an expression: Twice the square of the product of x and y
Answer:
2* (xy)^2
Step-by-step explanation:
First find the product of x and y
xy
The square it
(xy)^2
The twice it ( multiply by 2
2* (xy)^2
The graph of the function is shown below: f(x) = 4 * 3^x
Select the best answer from the choices provided:
-T
-F
Answer:
-T
Step-by-step explanation:
Im not the greatest at math but thats what i got.
Answer: true.
Step-by-step explanation:
just took the test
The ratio of girls to boys in Liza’s classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students?
Answer:
Number of girls = 15
Step-by-step explanation:
girls : boys = 5 : 4
Number of girls = 5x
Number of boys = 4x
Total students = 27
5x +4x = 27
9x = 27
x = 27/9
x = 3
Number of girls = 5x = 5*3 = 15
The product of 3 and a number is 33. What is the number?
Answer:
11
Step-by-step explanation:
3x = 33
x = 33/3
x = 11
Answer:
The number is 11
Step-by-step explanation:
Product means multiply, is means equals
3 * n = 33
Divide each side by 3
3n/3 = 33/3
n = 11
Elizabeth is going to flip a fair coin 100 times what is the best prediction for tube number of times that the coin will land tails up?
Answer:
About 50 times
Step-by-step explanation:
can I have a thx, 5 star, brainliest and will you let me know if right?
Find the value of X
Answer:
x = 28
Step-by-step explanation:
12/8 = (x-7)/14
Cross multiply.
8(x-7) = 12 × 14
Expand and multiply.
8x - 56 = 168
Add 56 on both sides.
8x = 168 + 56
8x = 224
Divide 8 into both sides.
x = 224/8
x = 28
A company employs 12 gardeners at $26 per day,
and 8 clerks at $17 per day. What is the mean
daily wage, in dollars, of the 20 employees?
(A) $20.00
(B) $21.50
(C) $22.40
(D) $31.50
Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.
Answer:
5.0 [tex]m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]
please help me for the brainliest answer
Answer:
aₙ= -2n²
Step-by-step explanation:
Solution 1:The sequence:
-2, -8, -18, -32, -50The difference between the terms:
-6, -10, -14, -18a₁= -2a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)...aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²As per above, the nth term is: aₙ= -2n²
Solution 2The sequence:
-2, -8, -18, -32, -50-2*1, -2*4, - 2*9, -2*25-2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²aₙ= -2n²If x/y + y/x = -1 , find the value of x^3 - y^3
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
ditermine the maximum value of y=2x^2-36x+130
Answer:
dsffoppo
Step-by-step explanation:
sg785 suuwooo