Answer:
Area = 36 sq units
Step-by-step explanation:
An isosceles trapezoid have two triangles and probably a rectangle or a square.
To find the area, let's determine the height of the trapezoid.
The base length of one of the triangle
= (15-9))2
= 6/2 = 3
The height will be x
X /sin 45= 3 / sin 45
X= 3
The area of the trapezoid
= 1/2(a+b)h
Where a = 15
b = 9
h = 3
Area= 1/2(15+9)3
Area= 1/2 *24*3
Area= 12*3
Area = 36 sq units
PLZ HELP ME!!! I WILL NAME BRAINLIEST! (:
Answer:
Options 2, 4, and 5 are correct (from top to bottom)
Step-by-step explanation:
g(0)=0
g(1)=1
g(-1)=1
g(4)≠-2
g(4)=2
g(1)≠-1
g(1)=1
Options 2, 4, and 5 are correct (from top to bottom)
plz help me 6.5(a - 4)
Answer:
6.5a-26
Step-by-step explanation:
You have to use the distributive property and multiply each term inside the parentheses by 6.5. By doing this you turn 6.5(a-4) into (6.5)(a)-(6.5)(4). You can then simplify this into 6.5a - 26
Answer:
6.5a-26
Step-by-step explanation:
We are given the expression:
6.5(a-4)
If we want to simplify this expression, then we must use the distributive property.
To distribute, multiply each term inside the parentheses by the number outside the parentheses.
(6.5*a) + (6.5*-4)
Multiply
6.5a+ (6.5*-4)
6.5a+ -26
A +- can be written as just -
6.5a-26
What is the equivalent expression of 8x3 - 8?
Step-by-step explanation:
[tex]8x^3-8=2^3x^3-2^3=(2x)^3-2^3\\\\\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(2x-2)\bigg((2x)^2+(2x)(2)+2^2\bigg)\\\\=(2x-2)(4x^2+4x+4)\\=2(x-1)(4x^2+4x+4)\\=4(2x-2)(x^2+x+1)\\=8(x-1)(x^2+x+1)[/tex]
The equivalent expression of 8x³ - 8 is 8(x-1) (x² + x +1)
How to arrive at the above expression
8x³ - 8 = 2³ x³ -2³
= (2x)³ - 2³
Using a³ -b³ = (a - b) (a² + ab + b²)
= (2x -2) ((2x)² + (2x) (2) + 2²))
= (2x -2) (4x² + 4x + 4)
= 2(x-1)(4x² + 4x + 4)
= 4(2x -2) (x² + x +1)
= 8 (x-1) (x² + x +1)
Learn more about expression at:
https://brainly.com/question/1859113
#SPJ2
Solve each equation for the specified variable dx + t =10 solve for x
Answer:
dx + t = 10
dx = 10 - t
x = (10 - t) / d
Answer:
[tex]x=\frac{10-t}{d}[/tex]
Step-by-step explanation:
[tex]dx + t =10[/tex]
Add [tex]-t[/tex] on both sides.
[tex]dx + t -t=10-t[/tex]
[tex]dx=10-t[/tex]
Divide both sides by [tex]d[/tex].
[tex]\frac{dx}{d} =\frac{10-t}{d}[/tex]
[tex]x=\frac{10-t}{d}[/tex]
Differentiate between:
1.
Crest and trough.
2. Infrasound and ultrasound.
Answer:
A crest is the highest point of a wave.
A trough is the lowest point of a wave.
Infrasound is sound below the limit that humans can hear, below 20 Hz.
Ultrasound is sound above the limit that humans can hear, above 20,000 Hz.
the square root of 169
Answer:
The answer is 13
Step-by-step explanation:
You'll say what will you multiply by itself to give you 169.
It will be 13 times itself and it will be =169.
find the length asap
Answer:
[tex]\boxed{BC = 11.62}[/tex]
Step-by-step explanation:
Tan 54 = [tex]\frac{opposite}{adjacent}[/tex]
Where opposite = 16, Adjacent = BC
1.376 = [tex]\frac{16}{BC}[/tex]
BC = 16/1.376
BC = 11.62
Answer:
11.62468045 or 11.6 to 1 decimal place
Step-by-step explanation:
→ We need to utilise trigonometry. The first step would be to list out the formula triangles
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.
Opposite = AC = 16
Adjacent = BC = We need to find this out
Hypotenuse = AB = No given value
→ Now we look for a formula with hypotenuse
Tan = Opposite ÷ Adjacent
→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject
Adjacent = Opposite ÷ Tan
→ Now we identify the Opposite and the Tan
Opposite = 16
Tan = 54°
Side note ⇒ Sin, cos and tan will always be the angles
→ Substitute in the values in the formula
Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6
→ The adjacent is 11.6 to 1 decimal place
Find the measure of angle b.
your answer_____
Answer:
b = 131
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
b+49 = 180
Subtract 49 from each side
b = 180-49
b =131
Answer:
Angle b is 131°
Step-by-step explanation:
Angles on a straight line add up to 180°
To find b add 49 and b and equate it to 180°
That's
b + 49 = 180
b= 180 - 49
b = 131°
Hope this helps you
Which of these sets of side lengths are pythagorean triples!
Hey there! :)
Answer:
Choices 1, 4 and 5.
Step-by-step explanation:
To solve, we can go through each answer choice and check if they are Pythagorean Triples using the Pythagorean Theorem:
1) 26² = 10² + 24²
676 = 100 + 576
676 = 676. This is correct.
2) 49² = 14² + 48²
2401 = 196 + 2304
2401 ≠ 2500. This is incorrect.
3)
16² = 12² + 9²
256 = 144 + 81²
256 ≠ 225. This is incorrect.
4)
41² = 40² + 9²
1681 = 1600 + 81
1681 = 1681. This is correct.
5)
25² = 15² + 20²
625 = 225 + 400
625 = 625. This is correct.
Therefore, choices 1, 4 and 5 are correct.
Answer:
A, D, and E.
Step-by-step explanation:
The triangular prism has a volume of 27 cubic units. A triangular prism. What will be the volume of the prism if each side is dilated by a factor One-third? 1 cubic unit 3 cubic units 8 cubic units 9 cubic units
Answer:
Option (2)
Step-by-step explanation:
Volume of a prism A (preimage) = 27 cubic units
Factor of dilation of the sides of this prism (image) = [tex]\frac{1}{3}[/tex]
Volume scale factor of these prisms = [tex]\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]
Since, Volume scale factor = (Scale factor of dilation of the sides)³
= [tex](\frac{1}{3})^3[/tex]
= [tex]\frac{1}{9}[/tex]
Now from the formula of volume scale factor,
[tex]\frac{1}{9}=\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]
[tex]\frac{1}{9}=\frac{\text{Volume of image}}{27}[/tex]
Volume of the image prism = [tex]\frac{27}{9}[/tex] = 3 cubic units
Therefore, Option (2) will be the answer.
Answer:
1 cubic unit
Step-by-step explanation:
is 0.14 rational and irrational
Answer:
Rational.
Step-by-step explanation:
Irrational numbers are real numbers that can't be written as fractions.
One clue is that the decimal goes on forever (doesn't terminate) without repeating. (pi)
.14 can be written as a fraction: 14/100
Answer:
It's rational
Step-by-step explanation:
Because irrational numbers cannot be written s a fraction and rational numbers can
HELP!!! What is the MAD for these numbers? 5 22 14 13 18 7 9 12
Answer:
4.25
Step-by-step explanation:
Answer:15 I think
Step-by-step explanation:
if C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
==========================================================
Work Shown:
Let x be the location of E on the number line.
Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2
midpoint = (endpoint1 + endpoint2)/2
C = (E+F)/2
Plug in E = x, C = -8 and F = 4. Then solve for x
C = (E+F)/2
-8 = (x+4)/2
(x+4)/2 = -8
x+4 = 2(-8) .... multiplying both sides by 2
x+4 = -16
x = -16-4 .... subtract 4 from both sides
x = -20
The location of point E on the number line is -20
-------------
As a check, lets add E and F to get E+F = -20+4 = -16
Then cut this in half to get -16/2 = -8, which is the proper location of point C
This confirms our answer.
Can someone help me out with this please
Answer:
143.81
Step-by-step explanation:
Trapezoid Area
A = 2b/2 * h
A = 9 + 23/2 * 7
A = 32/2 * 7
A = 16 * 7
A = 112
Semi-circle Area
A = πr²/2
A = π4.5²/2
A = π20.25/2
A = 63.62/2
A = 38.81
Total Area
112 + 38.81
143.81
Find x and y. Give reasons to justify your solution. AB is a straight line.
Answer:
x=8 degrees y=21 degrees
Step-by-step explanation:
Morgan set up a Web site and kept track of how many people clicked on it. By the end of the second day, the Web site had received 4 clicks and by the end of the fourth day, it had received 16 clicks.
She wrote two functions f(d) to model the number of clicks, where d is the number of days since she set up the Web site. One of the functions is exponential, and the other is linear.
Drag equations and statements to the table to show the functions she wrote and to show which function has the greater initial value and the lesser initial value
Answer:
Exponential function:
[tex]f(d) =2^d[/tex]
Linear function:
[tex]f(d) = 2\times f(d-1)[/tex]
Step-by-step explanation:
Given that:
Number of clicks by the end of 2nd day = 4
Number of clicks by the end of 4th day = 16
To find:
The function f(d) to model number of clicks in exponential and linear form.
Solution:
Given that with a value d = 2, f(d) = 4 and
d = 4, f(d) = 16
4 is [tex]2^{2}[/tex]
and 16 is [tex]2^{4}[/tex]
We can see that 2 has a power 'Number of days'.
So, exponential function can be written as:
[tex]f(d) = 2^d[/tex]
As per the pattern given, at the end of 2nd day, there are 4 clicks
by the end of 3rd day there will be 8 clicks and
by the end 4th day it has 16 clicks.
It means that by the end of present day the number of clicks have doubled than that of clicks by end of previous day.
So, we can write the function
[tex]f(d) = 2\times f(d-1)[/tex]
So, the answer is:
Exponential function:
[tex]f(d) =2^d[/tex]
Linear function:
[tex]f(d) = 2\times f(d-1)[/tex]
Answer:
look at the image below
Step-by-step explanation:
imagine math
Which binomial is a factor of 9x2 - 64?
COM
3x - 8
9x - 32
3x + 32
9x + 8
Answer:
3x - 8
Step-by-step explanation:
9x² - 64 is a perfect square binomial
3x - 8 and 3x + 8 are the factors
First factor the 2nd degree polynomial.
[tex]9x^2-64=(3x-8)(3x+8)[/tex]
We find that polynomial is factored to two binomials:
[tex]3x-8[/tex][tex]3x+8[/tex]Hope this helps.
help me answer this question please with full working
Answer:
A y=1/2x(powerof)2+5
B 17.5
C x=√42 or x=−√42
Step-by-step explanation:
Answer:
a. y = x^2 + 10
b. when x=5, y = 35
c. when y = 26, x = +4 or -4
Step-by-step explanation:
Given
y = k (x^2/2 + 5), and
(2,14) is on the curve.
Solution:
Substitute x=2 and y=14 in the above equation
14 = k (2^2/2 + 5)
14 = k (2+5)
14 = 7k
k = 14/7 = 2
a. equation connecting x and y is
y = 2 (x^2/2 + 5), or
y = x^2 + 10
b. when x=5
y = 5^2 + 10 = 25 + 10 = 35
c. when y = 26
26 = x^2 + 10
x^2 = 26-10 = 16
x= sqrt(16) = +4 or -4
(1) 10x’y' + 15xy? :
Answer:
factor: 5(2x'y'+3xy)
Step-by-step explanation:
thats for factoring, i didnt know what you needed
Answer:
25xy
Step-by-step explanation:
collect like terms
BRAINLIEST!!!! PLEASE HELP ASAP! The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248 in²
Step-by-step explanation:
Given the net of the rectangular prism above, to find its surface area, find the length and width of each part of the net, calculate the area of each and add all the areas together.
==>Measurement and areas of each part of the net (note: each small box = 2 in):
There are 6 parts of the net
=>Area of 2 parts:
2 of the parts of the net have the same measurement, L = 6 in, W = 4 in
Area of 2 parts = 2(6*4) = 2(24) = 48 in²
=>Area of 2 parts:
Measurement: L = 10 in, W = 4 in
Area = 2(10*4) = 2(40) = 80 in²
=>Area of 2 parts:
Measurement: L = 10, W = 6
Area = 2(10*6) = 2(60) = 120 in²
Surface area of the prism = 48+80+120 = 248 in²
Given that (-1,9) is on the graph of f(x), find the
corresponding point for the function
f(x) + 5
Answer:
I think -1,14
Step-by-step explanation:
Because you add 5
Hi Plato/Edmentum Users!
The other person is correct!
1)How many pinches of salt would be in 24 servings?
2) How many eggs would be needed to serve 18 people?
3) If you only had 33g of flour, how much of the other
ingredients would you need?
4) If 2 eggs were used, how many grams of flour would be
needed?
5) How much flour would be needed if 900ml milk is used?
HELP!!
Answer:
1. 2 pinch of salt
2. 3/2 egg =1.5 eggs
3. 33g of flour=1/3 pinch of salt
33g of flour=1/3 tbsp of oil
33g of flour=1/3 egg
33g of flour=100ml of milk
4. 24 servings
5. 300g of flour
Step-by-step explanation:
12 servings
Plain flour=100g
Salt=a pinch
Oil= 1 tbsp
Egg=1
Milk=300 ml
1. Pinches of salt in 24 servings
24
12 servings=1 pinch of salt
24 servings=24/12*1 pinch of salt
=2*1 pinch of salt
=2 pinch of salt
2. Egg needed for 18 servings
12 servings=1 egg
18 servings=18/12 * 1 egg
=3/2* 1 egg
=3/2 egg
3. If there are 33 grams of flour,
The other ingredients will be
33g/100g=1/3
The other ingredients will be 1/3 of the original measurement
Salt=a pinch
33g of flour=1/3 pinch of salt
Oil= 1 tbsp
33g of flour=1/3 tbsp of oil
Egg=1
33g of flour=1/3 egg
Milk=300 ml
33g of flour=1/3 of 300ml
=1/3*300
=300/3
=100ml of milk
4. If two eggs were used, grams of flour needed is
1 egg =12 servings
2 eggs=2* 12 servings
=24 servings
5. Flour needed if 900ml milk is used
100g flour=300ml of milk
900ml of milk=300ml * 3
Therefore,
900ml of milk=100g of flour *3
900ml of milk=300g of flour
PLEASE PLEASE PLEASE HELP!!!!! And show your work!!!!! *Grade 9 work*
Answer:
180
Step-by-step explanation:
5(2)^2 (3)^3
5(4) (27)
4(27) = 108
5(108) = 540*
Destiny draws the lagrest circle she can inside of a square. The circle has a diamater of 12 in. The square is 12 in. By 12in. What is the area of the square Not covered by the circle
Answer:
30.96 [tex]in^2[/tex]
Step-by-step explanation:
Given that
Side of square = 12 in
Diameter of circle = 12 in
We know that, radius is half of diameter,
So, r = 6 cm
We have to find the area of square which is not covered by the circle.
i.e. Required Area = Area of Square - Area of Circle
Please refer to the attached to have a better understanding of the given situation.
Formula:
Area of square = [tex](side)^2[/tex]
Area of circle = [tex]\pi r^2[/tex]
Required Area = [tex]12^2[/tex] - [tex]\pi \times 6^{2}[/tex]
[tex]\Rightarrow 144 - 3.14 \times 36\\\Rightarrow 144 - 113.04\\\Rightarrow 30.96\ in^2[/tex]
So, the answer is 30.96 [tex]in^2[/tex].
please is there anyone who can solve it
Answer:
1/20
Step-by-step explanation:
So, he eats 5/8 of 1/3 of the pizza. That would be 5/8*1/3=5/24
Then, he eats 2/5 of what is left. What is left is 3/8*1/3=1/8.
So, 1/8*2/5=1/20
Therefore, Teddy ate 1/20 of the original pizza
*I thought of a number, added 18, then multiplied the result by 8. I got 16. What was my number?
Answer:
-16
Step-by-step explanation:
Represent the number by n.
Then:
8(n + 18) = 16
Performing the indicated multiplication, we get:
8n + 144 = 16
Subtracting 144 from both sides results in 8n = -128.
Dividing both sides by 8: n = -128/8 = -16
The number was -16.
True or False? When Samantha includes more batteries in her project, the current in her project increases. Current is the independent variable in this situation. True False
Answer:
FALSE
Step-by-step explanation:
Since what Samantha is doing (varying) by including more batteries in her project, the number of batteries is the variable that she manipulates at her wish. So this is the independent variable.
The current increasing is the result to the changes she had made modifying the independent variable (number of batteries), therefore the current is the DEPENDENT variable (dependent on the number of batteries used).
So the statement is FALSE
Answer:
False
Step-by-step explanation:
PLEASE HELP ASAP!:
Solve for a and b
6a-b=-5
4a-3b = -8
Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in a to find b
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2
Which of the following equations is not linear?
A. 13x - 12y = 82
B. -6x = y
C. 7 = y
D. y = x² - 2
Answer:
I think its A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The graph would be a curve because of the exponent.
which term nest describes a figure formed by three segments connecting three noncollinear points?
Answer:
the triangle, its interior , and its exterior best describes it.
Answer:
Hello!
__________________
Your answer would be Triangle.
the term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
___________________
Hope this helped you!
:D