Answer:
72
Step-by-step explanation:
180/2.5
= 72
A locker combination has three nonzero digits, with no repeated digits. If the first digit is a 2, what is the probability the second digit is also even?
A. 1/2
B. 1/3
C. 3/7
D. 3/8
two similar triangular prisms have surface areas of 64cm2 and 144cm2(the 2 means square) respectively. a.find the ratio of their heights. b. The height of the smaller prism is 49cm,find the height of the larger prism.
Answer:
a.The ratio of the heights is the square roots of the both of them √64 and √144
which is 8 and 12
b.To find the height of the larger prism you use the ratio of the heights,in a ratio and proportion
8 - 49
12-x
8x/8=588/8
x=73.5
I hope this helps
If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?
Answer:
Your answer would be 32/49.
Step-by-step explanation:
4/7 tons = 7/8 x
4/7 / 7/8
32/49
The tons of concrete are required to cover the entire bridge is 32/49 tons.
What are fractions?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.
How many tons is needed to cover the whole bridge?To determine this value, divide 4/7 by 7/8
4/7 ÷ 7/8
4/7 x 8/7 = 32/49 tons
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7
Given:
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
To verify:
[tex]a(b-c)=ab-ac[/tex] for the given values.
Solution:
We have,
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
We need to verify [tex]a(b-c)=ab-ac[/tex].
Taking left hand side, we get
[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]
[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]
Taking LCM, we get
[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]
Taking right hand side, we get
[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]
[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]
[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]
Taking LCM, we get
[tex]ab-ac=\dfrac{-28-40}{35}[/tex]
[tex]ab-ac=\dfrac{-68}{35}[/tex]
Now,
[tex]LHS=RHS[/tex]
Hence proved.
(Question is in the image)
please I really need help
Answer:
c
Step-by-step explanation:
The period is 1 complete cycle of the wave, before repeating.
1 cycle is from - 6 to - 2 , then
period = 4 → c
Changing some of the values in a data set is called transforming the data.
A. True
B. False
Answer:
The answers is False
Step-by-step explanation:
If the product of two numbers is 1800 and its H.C.F. Is 30, find the L.C.M.
Answer:
LCM = 60
Step-by-step explanation:
Product = HCF × LCM
1800 = 30 × LCM
LCM = 1800/30
∴ LCM = 60
12X12= ___+144-88=___
What is the surface area of a sphere with a diameter of 14 cm?
Question 6 options:
175.84 cm^2
351.68 cm^2
615.44 cm^2
2461.76 cm^2
Show your work:
9514 1404 393
Answer:
(c) 615.44 cm^2
Step-by-step explanation:
The surface area of a sphere is given by ...
A = 4πr² . . . . where r is the radius, half the diameter
A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²
A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee blend that normally sells for $13.50 per pound to create 40 pounds of a coffee that can sell for $10.37 per pound. How many pounds of each kind of coffee should they mix
Answer:
Rift =37.92 pounds
Terraza=2.08 pounds
9514 1404 393
Answer:
Rift Valley: 37 31/33 ≈ 37.94 lbTerraza: 2 2/33 ≈ 2.06 lbStep-by-step explanation:
Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...
13.50t +10.20(40 -t) = 10.37(40)
3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408
t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza
Then the quantity of Rift Valley blend required is ...
40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley
Help please!! Plots of land between two roads are laid out according to the boundaries shown. The boundaries between the two roads are parallel. What is the length of Plot 3 along Cheshire Road?
Answer: Choice D
53 and 1/3 yards
=======================================================
Work Shown:
40/48 = x/64
5/6 = x/64
5*64 = 6*x
320 = 6x
6x = 320
x = 320/6
x = 53.33333...
x = 53 + 0.3333...
x = 53 + 1/3
x = 53 and 1/3, answer is choice D
------------
Explanation:
Basically because the quadrilaterals are similar, this means the sides are proportional to one another. This allows us to set up the equation at the very top. In step 3, I cross multiplied. Then later on, I divided both sides by 6.
Keep in mind that the similar figures are because of the parallel lines. If the lines weren't parallel, then the figures may not be similar.
Answer:
46 [tex]\frac{2}{3}[/tex] (For those with the Shelby Road Plot 3 Measurement that says 56 yards.)
Step-by-step explanation:
[tex]\frac{40}{48} = \frac{x}{56} \\\\48x = 2240\\\\x = 46.6667 \\or 46\frac{2}{3}[/tex]
What is the surface area of the cylinder? Express the answer in terms of pi
d = 8 cm
h = 18 cm
Find the measure of FG.
Answer:
Choice D, x = 9
Answer:
Step-by-step explanation:
EG = EF + FG = 9 + x - 3 = 6 + x
AG = AH + HG = 6 +x - 2 = 4 + x
Intersecting secant theorem,
FG * EG = HG * AG
(x - 3)*(6 +x) = (x -2)(x + 4)
Use Foil method
6x + x² - 18 - 3x = x² + 4x - 2x - 8
x² + 3x - 18 = x² + 2x - 8
x² - x² + 3x - 2x = -8 + 18
x = 10
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.
[ x + y = 90 ; x = 14 + 3y ]
Answer:
fourteen times six equals eighty-four, eighty-four plus six equals 90
What is the value of x in the triangle below?
A. 18
B. 15
C. 6
D. 45
Answer:
it is b I already took it I just checked again
When do we use the AC Test?
Instructions: Find the measure of the indicated angle to the nearest degree.
?
Answer:
? = 14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 8/33
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 ( 8/33)
? =13.62699
To the nearest degree
? = 14
Answer:
14
Step-by-step explanation:
We can solve for either x or y first, but we will choose to solve for x first. The side with length of 8 is opposite the angle x and the side with length of 33 is adjacent. Since we have opposite and adjacent sides, we will use the tangent ratio.
tan(x)= opposite/adjacent
tan(x)= 8/33
To find the measure of angle x, we will use the inverse tan function.
x=tan⁻¹(8/33)= 14
PLEASE HELP WILL GIVE BRAINSLIST
Answer: 3. 55° 2. 225° 1. 125°
Step-by-step explanation: don't want brainliest
write a inequality phrase: you have to be at least 21 years of age
Answer:
[tex]a\geq 21[/tex]
Step-by-step explanation:
"At least" is inclusive, so you can be 21 years old.
Answer:
a≥ 21
Step-by-step explanation:
Let a = age
At least means greater than or equal to
a≥ 21
Select all that apply.
The slope of the graph of a direct variation function is -3. Which of the following is true?
The equation is y = -3x.
The function is linear.
The equation of the function is y = -x .
The point (2, -6) is on the graph of the function.
a and b are correct
c is wrong
d can't be decided, because it can be true for one case, but not for others.
so only go for a and b
Answer:
B. The function is linear. (A and D COULD work)
Step-by-step explanation:
If the graph of a direct variation function has a slope of -3, then we know that the function is linear, and that m in the equation y = mx + b is -3. However, option A could be incorrect since we don't know if there is a y-intercept or not. C is wrong because of -3 being the slope, and D would only be true if A was also correct. So that leaves B. (If you know that there is more than one option, then A, B, and D are correct.)
A library has 160 books. 3/8 are story books, 1/4 are poetry books and the remainder are books. What fraction is comic books?
Answer:
1/8
Step-by-step explanation:
1/4*2/2=4/8
4/8+3/8=7/8
1-7/8=1/8
solve
[tex]100 {5}^{2} - 500 {5}^{6} [/tex]
Please help before 9:00 pm
On a piece of paper, graph y< - 1/2 x + 1
Answer:
Image below
Step-by-step explanation:
Make sure you draw it with a dotted line.
my jee main total marks is 70 so how much percentile will i get
Total marks in JEE = 400
Your marks = 70
Let your percent be x.
Then,
(x/100) × 400 = 70
=> x/100 = (70/400)
=> x/100 = 0.175
=> x = 0.175 × 100
=> x = 17.5
So, you got 17.5% marks.
can someone help me pls
Answer: No solution
Step-by-step explanation:
First, rearrange the second function:
[tex]3x - y = 2 \\-y=-3x+2\\y=3x-2[/tex]
Because the two equations share the same slope of 3, they're parallel lines, that means they don't ever intercept. Therefore, there are no solutions.
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4,8)
(0,0)
. 10
10
The answer is y= -2x.
The equation of the line passing through points (0, 0) and (-4, 8) is y = -2x
What is an equation of line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given is a graph of a line passing through points (0, 0) and (-4, 8), we need to find the equation of the line,
We know that, the equation of a line passing through two points is given by,
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (-4, 8)
So, the equation of the line =
y-0 = 8/(-4) (x-0)
y = -2x
Hence, the equation of the line passing through points (0, 0) and (-4, 8) is y = -2x
Learn more about equation of line, click;
https://brainly.com/question/21511618
#SPJ7
Given the recursive formula shown, what are the first 4 terms of the sequence? image Question 19 options: A) 5, 20, 80, 320 B) 5, 25, 100, 400 C) 5, 25, 125, 625 D) 5, 14, 60, 236
Answer:
B) 5, 20, 80, 320
Step-by-step explanation:
Complete question
Given the recursive formula shown, what are the first 4 terms of the sequence?
f(1) = 5 if n=1
f(n) = 4f(n-1) if n> 1
A) 5. 25, 100, 400
B) 5, 20, 80, 320
C) 5, 25, 125, 625
D) 5. 14, 60, 236
Get f(2)
f(2) = 4f(2-1)
f(2) = 4f(1)
f(2) = 4(5)
f(2) = 20
Get f(3)
f(3) = 4f(3-1)
f(3) = 4f(2)
f(3) = 4(20)
f(3) = 80
Get f(4)
f(4) = 4f(4-1)
f(4) = 4f(3)
f(4) = 4(80)
f(4) = 320
Hence the first 4 terms of the sequence are 5, 20, 80 and 320
Answer:
B) 5, 20, 80, 320
Step-by-step explanation:
Urgent i need help!!…….
Answer:
Step-by-step explanation:
These are similar triangles. We know that because we know that all right triangles are similar. The height of the red one is 8 and the height of the blue one is 4; that means that the red one is twice the size of the blue one; likewise, the blue one is half the size of the red one. That means that ALL the measurements of these triangles exist in that ratio...even the base of the blue one. If the base of the red one is 3, and the red one is twice the size of the blue one, then the base of the blue one is 3/2 or 1.5. I can't see your choices because they are too small.
what is the quotient
Answer:
The quotient is 4x+5 and the remainder is -13
Step-by-step explanation:
Using synthetic division
-5 4 25 12
Bringing down the 4 and multiplying
-5 4 25 12
↓ -20 -25
----------------------
4 5 -13
The quotient is 4x+5 and the remainder is -13
Answer:
4x +5 [tex]\frac{-13}{x+5}[/tex]
Step-by-step explanation:
. 4x +5 [tex]\frac{-13}{x+5}[/tex]
x + 5 | 4x^2 + 25x + 12
- 4x^2 + 20x
5x + 12
5x + 25
-13
Let A = {2,3) and B = {2,3,4}. If a relation from A to B is defined by R = {(x, y) :x + y = 5), find R.
a) R = {(x, y) : x + y = 5}
b) R = {(x, y) = x + y = 6)
c)R= {(x, y) : y = x^2}
d) R = {(x, y) : x=y}
Step-by-step explanation:
Finding cartesian product :
A×B
= {2,3} × {2,3,4}
= {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}
so
R = {(x,y):x+y=5}
so, R1 ={(2,3),(3,2)}
b) - R2 = {(2,4),(3,3)}
c) - R3 = {(2,4)}
d) - R4 = {(2,2),(3,3)}
