Answer:
120 square cm
Step-by-step explanation:
Area of the given figure
= Area of rectangle + Area of trapezoid
[tex] = 12 \times 8 + \frac{1}{2} \times ( 8 + 4) \times 4 \\ \\ = 96 + 12 \times 2 \\ \\ = 96 + 24 \\ \\ = 120 \: {cm}^{2} [/tex]
Answer:
Answer:
120 square cm
Area of the given figure
= Area of rectangle + Area of trapezoid
Step-by-step explanation:
How many times larger
is 8 x 10^4 than 8 x 10^1
Answer:
8x10^4=80,000
8x10^1=80
79,920 times larger!
Step-by-step explanation:
Hope that helps! :)
The values 8 * 10^4 is 1000 times larger than 8 * 10^1
Scientific notations are expressions written in the form A * 10^n
Given the following scientifc notations:
A = 8 x 10^4
B = 8 x 10^1
In order to know how many times larger is 8 x 10^4 than 8 x 10^1, we will take the ratio of both values as shown;
Ratio =
[tex]\frac{A}{B} = \frac{8 \times 10^4}{8 \times 10^1}\\ \frac{A}{B} = 1 \times 10^{4-1} \\ \frac{A}{B} = 10^3\\ \frac{A}{B} = 1000[/tex]
This shows that the values 8 * 10^4 are 1000 times larger than 8 * 10^1
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The measurts of the angles of a triangle are shown in the figure below. Solve for x.
33°
A
Answer:
Step-by-step explanation:
Step-by-step explanation:
sum of all Δ angles = 180°
33° + 90° + x = 180°
123° + x = 180°
x = 180° - 123°
x = 57°
_________________FOLLOW MERita has 10 centimeters of
ribbon. She cuts the
ribbon into 8 equal pieces.
What is the length, in
centimeters, of each
piece of ribbon?
Answer: 1.25
Step-by-step explanation:
because it is
Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad?
Fractions.
Answer:
Improper fraction: 8/3 Mixed Number: 2 2/3
Step-by-step explanation:
In this problem , you have to divide the 8 pounds of fruit into three different salads.
So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3
Evaluate the function w=-5x-1 when x=-3,0, and 8.
When x = -3;
w = -5(-3) - 1
w = 15 - 1
w = 14
When x = 0;
w = -5(0) - 1
w = 0 - 1
w = -1
When x = 8;
w = -5(8) - 1
w = -40 - 1
w = -41
Best of Luck!
which expression results from using the distributive property?
number 1: 7(x+3) a.7x+3 b. 7 x + 3. c.21x d. X + 21
number 2: 3(6+r) a.6+r b.6+3r c.18r d.18+3r
number 3:12(n+2) a.12n b.n+24 c.12n+24 d.24n
Answer:
Number 1: 7x+21
Number 2: 18+3r
Number 3: 12n+24
Step-by-step explanation:
Factor
Which quadratic equation?
Answer:
step 1. plug in (-3, 0).
step 2. y = x^2 + x - 6 works and the others dont.
step 3. plug in (-2, -4), (-1, -6), (0, -6), (1, -4), (2, 0)
step 4. All points work in the equation x^2 + x - 6.
Translate this sentence into an equation. 99 is the product of Chrissy's age and 9 Use the variable c to represent Chrissy's age.
Answer:
[tex]9c=99\\[/tex]
Step-by-step explanation:
Product means multipulcation
So it must be 9c = 99
Answer:
99=c×9
Step-by-step explanation:
Chrissy =c
99=c×9
that will be your answer because you have been told to write an equation not to solve.
PLEASE HELP!
James ran 28 miles in `2\frac{1}{3}`hours. What was his rate in miles per hour?
Write the expression, then solve. Must show all work.
Answer:
15 mph
Step-by-step explanation:
28mi=2 1/3
2 1/3 = 2 hrs 20min
110min
28/110=.254 mi per min
.25*60=15 mi per hrs
Find the quotient.
12a3p4 ÷ -2a2p
-6a3p5
-24ap3
-6ap3
6a5p3
Step-by-step explanation:
Given
12a³p^4 / - 2a²p
= - 6* a^3 - 2 * p^4- 1
= - 6ap³
Hope it will help :)
John had 30 sneakers, with 18 of the black. What is the ratio of the sneakers that are not black
Answer:
18:12
Step-by-step explanation:
30-18=12
18:12
How can you write and
solve equations involving rational numbers?
Convert the rational number to decimals, then solve it as a decimal instead, (with the optional choice of re-converting it back to rational).
George has a sum of money.
He divides the money between Siobhan and Iwan.
Iwan receives 11 of the money.
Write the ratio of the money that Siobhan receives to the money that Iwan receives.
Input note: give your ratio in its simplest form where each part is a whole number.
Which 2 equations would you use to solve this system?
—
The difference of two numbers is 4. Their sum is 32. What are the numbers?
• x + y = 4
• x - y = 4
• x + y = 32
• x - y = 32
Answer:
x-y=4
and
x+y=32 is your equation
difference of two number =x-y is equal to 4
sum of two number=x+y is equal to 32
x-y=4.......(1)
x+y=32.......(2)
adding equation 1 and 2
x-y +x+y=4+32
2x=36
x=36/2=16answer
substituting value of y in equation 1
16-y=4
16-4=y
y=12 answer
Can I get some help with this question
If a⁵ = 3⁵, simplify (2a)⁷ ?
3⁷3⁸6⁶6⁷Answer :D option 6⁷ is the right answer.Explanation :Given :a⁵ = 3⁵To Find :(2a)⁷Solution :As, we have a⁵ = 3⁵
We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.
∴ a = 3
Now, we have to find (2a)⁷, so by substituting a = 3, we have :
⟹ (2a)⁷ = (2 × 3)⁷
⟹ (2a)⁷ = (6)⁷
⟹ (2a)⁷ = 6⁷
Therefore, correct answer is 6⁷.
Hence, correct option is D.
Hari can do a piece of work in 8 days. In how many days would he do one-fourth of the same work ? Can anyone show the process as well ? Will matk brainlieast
Answer:
2 days
Step-by-step explanation:
I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.
Find exact value. tan (sin-1 5/8)
Answer:
The chicken closed the road.
And then he crawled up the spot
and come over the duck
WILL MARK YOU BRAINLIEST
Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please
Answer:
Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!
Write as a product (5c-3d)^2-9d^2
Answer:
25c^2-30cd
Step-by-step explanation:
The product of expression is,
⇒ 5c (5c - 6d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (5c - 3d)² - 9d²
Now, We can write the expression in form of product as;
⇒ (5c - 3d)² - 9d²
⇒ (5c - 3d)² - (3d)²
⇒ (5c - 3d - 3d) (5c - 3d + 3d)
⇒ (5c - 6d) (5c)
⇒ 5c (5c - 6d)
Thus, The product of expression is,
⇒ 5c (5c - 6d)
Learn more about the mathematical expression visit:
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Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a single algebraic expression that can be used to find the cost of Christian’s ticket after the discount.
Answer:
83/100 x 180
Step-by-step explanation:
We have to find the cost of the ticket after the discount.
100% - 17%= 83%
83% of the total percentage of the original price that he needs to pay.
So we do:
83/100 x 180
So, this would be the expression.
Hope this helps!:)
Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°.
Lines A E and G H are parallel. Angles F and C are congruent.
Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
Angles F and H are congruent.
Angles C and E are congruent.
Angles A and G are congruent.
Angles F and C are congruent.
Answer:
he corect f and c
Step-by-step explanation:
The answer would be F and C
Explanation: I got it right on the test I took.
Find the area of equilateral triangle with side a. Please answer with completely simplified exact values. Answer: A = sq. Units
Solution :
It is given that the length of a side of a triangle is given by 'a'.
It is an equilateral triangle.
So the three sides will be of equal length and is a, a, a units.
Now the semi perimeter of the equilateral triangle is given by :
[tex]$S=\frac{a+a+a}{2}$[/tex]
[tex]$=\frac{3}{2}a$[/tex]
Therefore, using the Heron's formula, we can find the area of the equilateral triangle.
Area of the equilateral triangle is given by :
[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]
[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]
[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.
ERRE
What is the difference?
4y+6
y-5
2y+ 1
y-5
6y+7
y-5
2y+5
y-5
6y+ 7
-2y-10
2y+5
-2y-10
y-5
2y+ 1
y-5
6y+7
y-5
2y+5
y-5
6y+ 7
-2y-10
2y+5
-2y-10
PLEASE HELP ME!!! I HAVE 15 MINS
the right answer for that question is c
please, PLEASE answer this fast! I have 1 hour left before I pass it. Please help :( answer it properly! Thank you in advance.
-This is grade 8 math-
1.What elements belong to Set A and Set B?
2. Is there a repetition of the first elements in the ordered pairs? How about in second elements of the ordered pairs?
3. Does the set of ordered pairs represent a relation?
4. How is a relation represented?
Answer:
The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)
Step-by-step explanation:
In the figure, [tex] \angle[/tex] AOB = [tex] \frac{1}{2} [/tex][tex] \angle[/tex] BOC and [tex] \angle[/tex] BOC = [tex] \frac{2}{3} [/tex][tex] \angle[/tex] COD . Show that [tex] \angle[/tex] COD = [tex] \frac{1}{2} \angle[/tex] AOD mentioning necessary axioms.
~Thanks in advance !
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ }\angle AOD=180[/tex] Straight Angle Theorem
[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex] Angle Addition
[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex] Substitution
[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex] Given
[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex] Given
[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex] Multiplication
[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex] Addition
[tex]10)\text{ } \angle COD=90[/tex] Division Property of Equality
[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex] Division Property of Equality
[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex] Substitution
Answer:
this is your answer. good luck.
PLZ HELP ME PLZ I NEED IT
Answer:
1, 3, 2, 4, 5
Step-by-step explanation:
what is the value ofny when -5 y-7/9
What is the MAD of these numbers 1,1,4,5,5,5,6,7,7,10,10?
Please give an explanation
Answer:
2.2314
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
1+1+4+5+5+5+6+7+7+10+10= 61
61÷11= 5.5-2.5= 2.2
Example:
Find the MAD of 2,4,6,8
Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2