Answer:
The answer is 156cm^2
Step-by-step explanation:
Solution:
The shape given is a trapezium.
The area of the green region = Area of the outer trapezium - Area of the inner trapezium.
[tex]Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h[/tex]
[tex]Where\: a,b\:are\:the\:bases,\:h=height[/tex]
[tex]For,\:outer\:trapezium,[/tex]
[tex]a=10cm,\:b=14cm,h=16cm[/tex]
[tex]Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16[/tex]
[tex]=\frac{1}{2}(24)(16)=192cm^{2}[/tex]
[tex]For\:inner\:trapezium,[/tex]
[tex]a=3cm,b=6cm,h=8cm[/tex]
[tex]Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8[/tex]
[tex]=\frac{1}{2}(9)(8)=36cm^{2}[/tex]
[tex]193cm^{2}-36cm^{2}[/tex]
[tex]=156cm^{2}[/tex]
The answer is 156cm^2
PLEASE HELP PLEASE HELP
Answer:
B
Step-by-step explanation:
Which expression is equivalent to z+z+z+z+3?
A. 7z
B. 4z + 3
C. 3z +4
D. z3
Answer:
4z+3
Step-by-step explanation:
multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it
Simplify the sym or difference 4√2 - 7√2
Answer: ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
-3√2
PLSS HELP.
Simplify the expression. Write the answer using scientific notation (7x10^5)^2
Answer:
[tex]\sf 4.9 \times 10^{11}[/tex]
Step-by-step explanation:
Given expression: [tex]\sf (7 \times 10^5)^2[/tex]
Apply exponent rule [tex]\sf (ab)^2=a^2 \cdot b^2[/tex] :
[tex]\sf \implies 7^2 \times (10^5)^2[/tex]
[tex]\sf \implies 49 \times (10^5)^2[/tex]
Apply exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :
[tex]\sf \implies 49 \times 10^{5 \cdot 2}[/tex]
[tex]\sf \implies 49 \times 10^{10}[/tex]
Scientific notation: [tex]\sf a \times 10^n[/tex]
where [tex]\sf 1\leq a < 10[/tex] and n is an integer
We can write 49 as [tex]\sf 4.9 \times 10=4.9 \times 10^1[/tex]
[tex]\sf \implies 4.9 \times 10^1\times 10^{10}[/tex]
Apply exponent rule [tex]\sf a^ba^c=a^{b+c}[/tex]
[tex]\sf \implies 4.9 \times 10^{11}[/tex]
Evaluate the expression r3 + 4r2 s for r = – 3 and s = 2.
Answer:
Sorry if I did wrong..I tried my best
Step-by-step explanation:
-3×3+4×-3×2
-9-12×2
-21×2
-42 ans
9×(x+7)+5=86.can you help me to solve this question.
Answer: x=2
Step-by-step explanation:
9(x+7)+5=86
Step 1: Simplify both sides of the equation.
9(x+7)+5=86
(9)(x)+(9)(7)+5 (Distribute)
9x+63+5=86
(9x)+(63+5)=86 (Combine Like Terms)
9x+68=86
Step 2: Subtract 68 from both sides.
9x+68−68=86−68
9x=18
Step 3: Divide both sides by 9.
[tex]\frac{9x}{9} =\frac{18}{9}[/tex]
x=2
i need help with this
2 tan x - Sin 2x ÷ 2 Sin^2 x = tan x
Looks like the claim is
(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
as well as the definition of tangent:
tan(x) = sin(x) / cos(x)
Then on the left side, we can cancel factors of 2 sin(x) to get
(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))
= (1/cos(x) - cos(x)) / sin(x)
Multiply this by cos(x)/cos(x) :
(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))
Recall that for all x,
sin²(x) + cos²(x) = 1
so that
(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))
= sin(x) / cos(x)
= tan(x)
as required.
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps.
I think the answer is 8 but I don't know how to make an inequality. Please help.
Answer:
8 packages
Step-by-step explanation:
First, let's subtract.
#1) Remove the cost of the notebook.
$18 - $4.25$13.75#2) Remove the amount that needs to be saved.
$13.75 - $9.75$4.00#3) Make the inequality.
Let n be the number of packages.0.50n ≤ 4.00n ≤ 4.00/0.50n ≤ 8Use the information below to complete the problem: and Perform the operation and show that it results in another rational expression. p(x) * q(x)
A small pizza costs $4.50, and a salad costs $3.75. You plan to buy two small pizzas and four salads. Write and solve an inequality to find the additional amounts x you can spend to get free delivery.
The inequality in the total amount of purchase is the greater than inequality
The inequality to find the additional amounts x you can spend to get free delivery is 24.00 + x > y
How to determine the inequality?The given parameters are:
Small pizza = $4.50
Salad = $3.75
The cost of two small pizzas and four salads is:
Total = 2 * 4.50 + 4* 3.75
Evaluate
Total = 24.00
Let the amount to get free delivery be y.
So, the inequality would be:
24.00 + x > y
Read more abput inequalities at:
https://brainly.com/question/11234618
PLEASE HELP
Type the correct answer in the box. Use numerals instead of words.
What is the value of this expression?
log, 8 + log; (3)
Answer:
[tex]\log(24)[/tex]
Step-by-step explanation:
[tex]\log(8)+\log(3)=\log(8*3)=\log(24)[/tex]
Please help! Can’t get it right
Answer:
B.
Step-by-step explanation:
After looking at the graph you see the coordinates in the table are equal to the coordinates on the graph
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
Step-by-step explanation:
rectangle l = 6 units
b = 3 units
area = 18 units ^ 2
parallelogram l = 6 units
b = 1 unit
area = 6 unit ^2
total area = 24 units ^2
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Answer:
See below ↓↓
Step-by-step explanation:
1. c║d
3. a║b
5. c║d
7. a║b
2. CACP
4. AICP
6. CACP
8. SSIASP
Answer:
a) c ║ d CACP
b) a ║ b AICP
c) c ║ d CACP
d) a ║ b SSIASP
Step-by-step explanation:
CACP - Corresponding Angles Congruent postulate
When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.
AICP - Alternate Angles Congruent postulate
When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .
SSIAS - Same Side Interior Angles Supplementary theorem
When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).
a) c ║ d CACP
The tranversal is line b
b) a ║ b AICP
The tranversal is line d
c) c ║ d CACP
The tranversal is line a
d) a ║ b SSIASP
The tranversal is line c
A washer and dryer cost a total of $1014. The cost of the washer is two times the cost of the dryer. Find the cost of each item.
Cost of washers
Cost of dryer:
Answer:
Washer is $676
Dryer is $338
Step-by-step explanation:
1014 divide by 3 gives you 338.
338 x 2 = $676
676 is twice 338.
676 + 338 = 1014
Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7
4(8-x)=8
8-x=8/4
8-x=2
-x= 2-8
-x= -6
x=6
-> c
MP Justify Conclusions Determine if the circumference of a circle with a
radius of 4 feet will be greater or less than 24 feet. Explain.
Answer:
less than cause 4 is before 24
PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION
The solution set 0 and 8 are the true values of the absolute value equation
The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {0, 6}
Calculate the mean of the solution set
Mean = 0.5 * (0 + 6)
Mean = 3
Calculate the difference of the solution set divided by 2
Difference = (6 - 0)/2
Difference = 3
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x - 3| = 3
Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
Read more about absolute value equation at:
brainly.com/question/2166748
Answer:
|x-3|=3
Step-by-step explanation:
ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How many lines can be drawn joining 2 of these nine points? [3 marks] (ii) Find the number of different triangles that can be formed using of 3 of these nine points as vertices. [3 marks]
The number of lines and triangles illustrates combination
36 lines can be drawn to join the nine points84 triangles can be drawn using the nine pointsThe number of lines that can be drawn
The given parameters are:
Total points, n = 9
Total points on each line, r = 2
The number of lines that can be drawn is then calculated using the following combination formula
Lines = nCr
This gives
Lines = 9C2
Evaluate the combination expression
Lines = 36
Hence, 36 lines can be drawn to join the nine points
The number of triangles that can be drawnThe given parameters are:
Total points, n = 9
Total points on each triangle, r = 3
The number of triangles that can be drawn is then calculated using the following combination formula
Triangles = nCr
This gives
Triangles = 9C3
Evaluate the combination expression
Triangles = 84
Hence, 84 triangles can be drawn using the nine points
Read more about combination at:
https://brainly.com/question/11732255
The difference between the supplement of an angle and twice its complement is 28°, find the measure of the supplement of the angle.
Answer:
152°
Step-by-step explanation:
Supplementary angles are two angles that sum to 180°
Complementary angles are two angles that sum to 90°
Let x° = the angle
⇒ Supplement of the angle = 180° - x°
⇒ Complement of the angle = 90° - x°
The difference between the supplement of an angle and twice its complement is 28°:
⇒ (180 - x)° - 2(90 - x)° = 28°
⇒ 180 °- x° - 180° + 2x° = 28°
⇒ x = 28°
Therefore, the measure of the supplement of 28° is:
180° - 28° = 152°
Find the median of the set of numbers below.
15, 16, 15, 7, 21, 18, 19, 20, 11
Answer :
16
Explanation :
You arrange the numbers from least to greatest. 7,11,15,15,16,18,19,20,21 After you do that you will find the numbers that are in the center and that will be your median.
What is the answer to the question 6/7 + 3/4
Answer:
45/28
Step-by-step explanation:
6/7+3/4
The least common multiple of 7 and 4 is 28.
Convert 6/7 and 3/4 to fractions with the denominator of 28
24/28+21/28
Since the denominators are now the same, add the numorators to get 45/28
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write [tex](8a^{-3})^{-2/3}[/tex] in simplest form.
Answer:
[tex] \frac{1}{64 {a}^{2} } [/tex]
Step-by-step explanation:
[tex](8 {a}^{ - 3} {)}^{ \frac{ - 2}{3} } [/tex]
[tex](8 a {)}^{ - 2} [/tex]
[tex] \frac{1}{ {8}^{2} {a}^{2} } [/tex]
[tex] \frac{1}{64 {a}^{2} } [/tex]
|-108| divided by |36|+|17|
In the translation T of the graph below, use the figure to describe the Following transformation.
Answer:
(a) (x -6, y -2)
Step-by-step explanation:
You seem to want to see the inverse of the translation T, applied twice. Your notation seems to mean ...
For T = (x, y) +(a, b)
T⁻¹ = (x, y) -(a, b) ⇒ T⁻² = (x, y) -2(a, b)
__
Your given transformation is ...
T = (x, y) +(3, 1)
which means ...
T⁻² = (x, y) -2(a, b) = (x, y) -2(3, 1)
T ⁻² = (x -6, y -2)
4. Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?
The best unit of measurement for Alex to use for the ropes he is going to use at camp would be centimeters because it is a measurement that fits the needs of his knot shop.
What is a unit of measure?A unit of measure is a unit that is used as a reference and international standard on length, weight, height, among others.
In the case of length, there are several units of measurement such as:
KilometresMetersMilesCentimetersMillimetersFor a knot-making workshop in a camp, the ideal would be to have a rope of at least 2 or 3 meters. However, the ideal unit of measurement for teaching about knots is centimeters because knots do not require a large amount of rope to tie.
Learn more about knots in: https://brainly.com/question/15458643
i need an answer in 5 minutes please!
Find a unit vector in the direction of the given vector, w = 6i - 3j
Step-by-step explanation:
hope this helps, you can ask any questions for clarification
A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 12 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 6 ft less than the length of the ladder? C The top of the ladder is ___ ft up the side of the building?
Answer:
The answer for this question is 2 ft
Step-by-step explanation:
12ft÷6ft=2
Is it possible that someone could help me with this?
(I tried to take the best picture a can)
Answer:
Below.
Step-by-step explanation:
There are 2 outliers:
234, 880.
All the other values range from 485 to 510.