Answer:
A. 2
Step-by-step explanation:
Given:
DC = 1
CE = x + 4
AB = 11
BE = x + 1
Required:
Value of x
Solution:
(DC + CE) × CE = (AB + BE) × BE
(1 + x + 4) × (x + 4) = (11 + x + 1) × (x + 1)
(x + 5) × (x + 4) = (x + 12) × (x + 1)
x² + 4x + 5x + 20 = x² + x + 12x + 12 (distributive property)
x² + 9x + 20 = x² + 13x + 12
Collect like terms
x² - x² + 9x - 13x = - 20 + 12
-4x = -8
Divide both sides by -4
x = -8/-4
x = 2
Answer
A.2 edg 2021
Step-by-step explanation:
solve 2x = 1/32
1/5
5
-5
plz help find the area asap i really need help with the math problems
for the third picture Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CN = WN, ∠C ≅ ∠W Prove: RN ≅ ON
Answer:
uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.
Step-by-step explanation:
The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.
The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two
Answer:
45
Step-by-step explanation:
The prism below is made of cubes which measure of a centimeter on one side. What is the volume?
Please answer this question and I will give you brainliest and 15 points
Answer:
45/8 cubic cm
Step-by-step explanation:
The volume of a prism can be determined using the formula below.
Volume = length × width × height
Since each cube measures of a centimeter on one side, then the dimensions of the prism are shown below.
Length = 5 x 1/2 cm
Width = 3 x 1/2 cm
Height = 3 x 1/2 cm
Answer:
5/3
Step-by-step explanation:
X^(2)+8=5 exponent of variable in this equation is
Answer:
The exponent of the variable of this equation is 2.
And here's the solution to the equation:
[tex]x^{2} +8=5[/tex]
[tex]x^{2} = 5 - 8[/tex]
[tex]x^{2} = -3[/tex]
[tex]x[/tex] ∉ R
A consulting firm has bid on two projects, A and B. The probability of landing A is 0.70. The probability of landing B is 0.60. The probability of landing both is 0.50.
What is the probability of landing A given it lands B?
Given:
The probability of landing A is 0.70.
The probability of landing B is 0.60.
The probability of landing both is 0.50.
To find:
The probability of landing A given it lands B.
Solution:
We have,
[tex]P(A) = 0.70[/tex]
[tex]P(B) = 0.60[/tex]
[tex]P(A\cap B) = 0.50[/tex]
The probability of landing A given it lands B is
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{0.50}{0.60}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{5}{6}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=0.8333...[/tex]
[tex]P\left(\dfrac{A}{B}\right)\approx 0.83[/tex]
Therefore, the probability of landing A given it lands B is about 0.83.
A ramp rises 4 ft. and makes a 20 degree with the ground. How
long is the ramp?
Answer:
P = 1.36 feet
Step-by-step explanation:
Given that,
Height of ramp, H = 4 ft
The ramp makes an angle of 20 degree with the ground.
We need to find the length of the ramp.
The height of the ramp is the hypotenuse and the length of the ramp is perpendicular of the right angled triangle. Using trigonometry to find the length of the ramp i.e.
[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=4\times \sin(20)\\\\P=1.36\ ft[/tex]
So, the length of the ramp is equal to 1.36 feet.
Construct isosceles triangle ABC such that AB = AC = 10 cm and CB = 9 cm. Measure and write down the size of angle ABC.
Answer:
∠ABC = 63.26°
Step-by-step explanation:
cos ∠ABC = (9/2)/10
cos ∠ABC = 0.45
∠ABC = 63.26°
HELP MEEE 5(−4) = 15-4x
Answer:
8.75
Step-by-step explanation:
What is an
equation of the line that passes through the points (-4,3) and
(-8,0)?
Answer:
y = 3/4x + 6
Step-by-step explanation:
(-4,3) and (-8,0)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(0 - 3) / (-8 - (-4))
Simplify the parentheses.
= (0 - 3) / (-8 + 4)
= (-3) / (-4)
Simplify the fraction.
= -3/-4
= 3/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 3/4(-8) + b
To find b, multiply the slope and the input of x(#)
0 = -6 + b
Now, add 6 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = 3/4x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 3).
y = 3/4x + 6
3 = 3/4(-4) + 6
3 = -3 + 6
3 = 3
Your equation is correct.
Hope this helps!
PLS HELP!!! What is the total surface area of the square pyramid whose net is shown below?
400 in^3
1200 in^3
800 in^3
1600 in^3
Answer:
(20×20)+(2×20×30)
400+1200
1600inches^2
Answer:
1600 in^2
Step-by-step explanation:
We only have to add the areas of one square in the centre and 4 surrounding triangles.
area of the square=20×20=400 in^2
area of one triangle=1/2×20×30=300 in^2
area of four triangles=4×300=1200 in^2
So, total surface area of the square pyramid=400+1200=1600 in^2
*The units given should be in^2.
Can someone help me? I'll reward points + brainalist
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
10 points pls answer ASAP
Answer:
145
Step-by-step explanation:
Its the opposite angle of 145
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14
Question 4 of 10
In each family of functions, the
the family
function is the most basic function in
O A simple
O 8. parent
O c. quadratic
O D linear
Answer:
In each family functions, the parent function is the most basic function in the family.
In each family of functions, the parent function is the most basic function
How to complete the blank?A linear function is represented as:
y = mx + b
A quadratic function is represented as:
y = ax^2 + bx + c
The above and others of similar formats are the most basic of their families, and they are referred to as the parent function
Read more about parent function at:
https://brainly.com/question/17079244
#SPJ6
11 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
Find the slope and reduce.
P=(-8, 3) Q=(-6, 2)
Answer: -1/2
Step-by-step explanation:
Slope is change in y over change in x. Y shifts down -1, while X shifts to the right 2
Simplify lol (5) 9+ lo (5) 21-lo (5) 7
Given:
Consider the given expression is
[tex]\log_59+\log_521-\log_57[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_59+\log_521-\log_57[/tex]
It can be written as
[tex]=\log_5(9\times 21)-\log_57[/tex] [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]
[tex]=\log_5\dfrac{9\times 21}{7}[/tex] [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]
[tex]=\log_5(9\times 3)[/tex]
[tex]=\log_527[/tex]
Therefore, the simplified form of the given expression is [tex]\log_527[/tex].
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
(5,2) & (-3, 6)
questions said slope intercept form
write the equation of the line that passes through the two Points
Answer:
-1/2x + 4.5
Step-by-step explanation:
Find out the slope by substituting the values in the formulas.
y2 - y1 / x2 - x1 6 - 2 / -3 - 5
-1/2
Now find the y-intercept.
y = mx + b
6 = -1/2 (-3) + b
6 = 3/2 + b
9/2 = b
These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:15
Answer:
a
Step-by-step explanation:
Answer:a and b
Step-by-step explanation:
A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism
Answer:
[tex]Volume = x^3y^4[/tex]
Step-by-step explanation:
Given
[tex]Length = xy^2[/tex]
[tex]Height = y^2[/tex]
[tex]Width = x^2[/tex]
Required
Determine the volume
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = xy^2 * x^2 * y^2[/tex]
This gives:
[tex]Volume = x^3y^4[/tex]
Find the measure of 46.
70*110°
46
o
66 = [?]
Answer:
angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answer:
$4.98
Step-by-step explanation:
50*16%=8 (pennies), 50*40%=20 (dimes)
8+5=13 (nickels), 50-(8+20+13)=9 (quarters)
So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98
ANSWER: $4.98
Steps for pennies:
1.) 50 * .16 = 8
8 pennies out of 50 coins
2.) 1 cent * 8 = 8 cents
Steps for dimes:
1.) 50 * .40 = 20
20 dimes out of 50 coins
2.) 10 cents * 20 = 200 cents = $2
Steps for nickels:
1.) 8 + 5 = 13
13 nickels out of 50 coins
2.) 5 cents * 13 = 65 cents
Steps for quarters:
1. 8 + 20 + 13 = 41
2. 50 - 41 = 9
3. 9 * .25 = $2.25
FINAL STEP:
8 cents + $2 + 65 cents + $2.25 = $4.98
ANSWER: the bag contained $4.98
*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50
50% = .50
Gavin rented a truck for 5 days. The truck
rental company charged him $55.00 per day,
plus $0.15 per mile. The total charge was
$285.20. How many miles did Gavin drive?
need help badly geometry question :(
Answer:
D. 13.02
Step-by-step explanation:
Apply trigonometric function to find the height (h) of the wall.
Reference angle = 40°
Hypotenuse = 17 ft
Adjacent = h (height of the wall)
Apply CAH:
Cos 40 = Adj/Hyp
Cos 40 = h/17
17*Cos 40 = h
13.0227555 = h
h ≈ 13.02 ft
64 Books on 4 Shelves how maany books per Shelf?
Answer:
256
Step-by-step explanation:
Answer:
16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf
Step-by-step explanation:
hope this helped
What fractions will make the comparison true? 5/8>
Answer:
7/10
Step-by-step explanation:
i7/10 is greater than 5/8
Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above
Answer:
7. A
8. C
Step-by-step explanation:
7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)
8. 2(3a)^2 - 3(3a) + 4 = C