Answer:
(x-2)(3x)+(x-2)(4)
When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.
Here is a triangular pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is an equilateral triangle.
(All lengths are in millimeters.)
Answer:
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]
[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base
[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]
Hence,
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Answer:
Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and
three congruent isosceles triangular faces
Step-by-step explanation:
Hank and Lynn are both paying off car loans. • Hank paid $2,000 up front when he bought his car, and he pays $200 each month. • Lynn did not pay any money up front when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop down menu to explain your answer
Answer:
Proportional for Lynn but not HankStep-by-step explanation:
Proportional relationship formula: y = kxHankHank paid $2,000 upfront when he bought his car, and he pays $200 each month.
This relationship is:
H(x) = 2000 + 200xThis is not proportional.
LynnLynn did not pay any money upfront when she bought her car, and she pays $275 each month.
This relationship is:
L(x) = 275xThis is proportional.
So the answer is:
The relationship between the number of months and the total amount paid is proportional for Lynn's loan.f(x)=25x^2−10x+1f, left parenthesis, x, right parenthesis, equals, 25, x, squared, minus, 10, x, plus, 1
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
PLEASE HELP
Answer:
What is the value of the discriminant of f?
0
How many x-intercepts does the graph of f?
1
Step-by-step explanation:
I promise you i just got this question and this is the answer
The discriminant of f is 0.
The function f has one intercept.
In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:
a = 25
b = -10
c = 1
Now, let's calculate the discriminant:
Discriminant = b² - 4ac
= (-10)² - 4 x 25 x 1
= 100 - 100
= 0
The value of the discriminant of f is 0.
If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.
If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).
If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.
In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).
Learn more about Discriminant here:
https://brainly.com/question/33365847
#SPJ2
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
Which interval for the graphed function has a local
minimum of 0?
[-3,-2]
[-2,0]
[1,2]
[2,4]
Answer:
Interval for the function has local minimum of 0 is [2,4].
Step-by-step explanation:
You need to find the local minimum of 0 in the given function's graph.
In mathematics, local minimum is a point on a graph whose value is less than all other points near it.
See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4
So, final answer is :
Interval for the function has local minimum of 0 is [2,4].That's the final answer.
hope it helps
Answer: D
Step-by-step explanation:
2,4
Can 0.8 be the probability of an outcome in a sample space
Yes or no
Answer:Yes
Step-by-step explanation:
Look at the pic in the corner it’s math
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
Help please:( idk this
Answer:
48 degrees
Step-by-step explanation:
A triangles degrees all add up to 180
so
180-90= 90 (90 is a square corner)
90-42= 48 (42 is the other known degree)
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
A
Step-by-step explanation:
the area of square is 10²=100
Area of a circle is πr²=π(10/2)²=25π
100-25π=100-25*3.14=100-78.5=21.5
Step-by-step explanation:
Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared
Find the quotient.
1. 48÷3=
.
2. In the expression, 96 divided by 8 = a , the quotient a =
.
3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.
Answer:
48÷3=16
Step-by-step explanation:
In the expression, 96 divided by 8 = a , the quotient a =12
. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are2
lizards in each group.
Answer:
1. 16
2. 6
3. 2
Step-by-step explanation:
Your grandmother has given you $200 for your birthday! You decide to
use that money and start saving to buy a used car. The car costs $6500,
and you know that you can save $350 each month. How many months will
you need to save so that you can buy this car? (Don't forget you already
have $200 from your grandma) *
Answer:
18
Step-by-step explanation:
6500= 200+ 350x
x=18
Answer:
id say eighteen
Step-by-step explanation:
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
pls help , need this done by tomorrow.
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
If cos omega =
3
5
find tan omega
Answer:
mmm 30
Step-by-step explanation:
Find the least common denominator (LCD) of
3
7
and
5
8
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
math question below!!
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
some one can help me please
Answer:
C
Step-by-step explanation:
Let's say Abudal's score = x.
We can do,
3x + x + x + 5 = 45
5x = 45
x = 8.
That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
Answer:
[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
Step-by-step explanation:
Given the information:
A'B'C' reflection over x = −1dilation by a scale factor of 4 from the origin<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
We choose C.
Hope it will find you well.
Percentages less than 100% definition
Answer:
fractions
Step-by-step explanation:
Answer:
A number or ratio expressed as a fraction of 100
Step-by-step explanation:
Use outside of percentages but reused under 100 when explained.
Steepness of a hill or gradient of a line = rise/run x 100
On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.
Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line. Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.
will mark brainliest
jeffs water bill includes a base charge of 12$ plus a charge of 1.50$ for each 1000 gallons of water used. jeffs water bill is 28.50$
how many gallons of water did jeff use?
Answer:
11,000 gallons
Step-by-step explanation:
Jeffs water bill = 28.50
Charge for water used = 28.50 - 12 = 16.50
Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Which is the answer?
Answer:
c
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Answer:
ASA
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Hope this is helpful!
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
Help me with this please
Answer: 1/8
Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8
Give me brainly pls trust me 100% correct I’ve learned this already
Answer:
1/8
Step-by-step explanation:
If 50% of an item is 22.00 what is the original price ?
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
Find "G". Round to two
decimal places.
G= R+ab/at
R=257
a=4.88
b=37.4
t=61.5
Answer:
G ≈ 1.46
Step-by-step explanation:
Given
G = [tex]\frac{R+ab}{at}[/tex] , substitute values
G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]
= [tex]\frac{257+182.512}{300.12}[/tex]
= [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )
