The shaded shape is made by joining a square and a rhombus.
Find the area of the shaded shape.
Answers
To find area of first figure:
[tex] \\ [/tex]
As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.
[tex] \\ [/tex]
So to find Area of a Square:-
We know :-
Area of square = side²
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
⇢ Area of square = side²
[tex] \\ [/tex]
⇢ Area of square = side × side
[tex] \\ [/tex]
⇢ Area of square = 5 × 5
[tex] \\ [/tex]
⇢ Area of square = 25 cm²
[tex] \\ [/tex]
Therefore Area of first figure is equal to 25 cm²
[tex] \\ [/tex]
To find area of second figure:
[tex] \\ [/tex]
So we have find area of square and now as in question given next shape is rhombus.
[tex] \\ [/tex]
There are two Formulas of rhombus :
Area of rhombus = (Digonal 1 × Diagonal 2)/2Area of rhombus = Base × Height[tex] \\ [/tex]
We have to use second formula as Digonals aren't given :
⇢ Area of rhombus = Base × Height
[tex] \\ [/tex]
⇢Area of rhombus = 4.5 × 5
[tex] \\ [/tex]
⇢Area of rhombus = (45 × 5)/10
[tex] \\ [/tex]
⇢Area of rhombus = (45 × 1)/2
[tex] \\ [/tex]
⇢ Area of rhombus = 45/2
[tex] \\ [/tex]
⇢ Area of rhombus = 22.5 cm²
[tex] \\ [/tex]
Therefore Area of first figure is equal to 22.5 cm²
[tex] \\ [/tex]
Area of whole shaded figure:
⇢A = Area of first figure + Area of second figure
[tex] \\ [/tex]
⇢ A = 25 + 22.5
[tex] \\ [/tex]
⇢ A = 47.5 cm²
[tex] \\ [/tex]
Therefore Area of whole shaded figure is equal to 47.5 cm².
Related Questions
what is the answer to 2x-4=24
Answers
Answer:
x=14
Step-by-step explanation:
[tex]2x-4=24[/tex]
[tex]2x-4+4=24+4[/tex] (Add 4 to both sides)
[tex]2x=28[/tex]
[tex]\frac{2x}{2}=\frac{28}{2}[/tex] (Divide both sides by 2)
[tex]x=14[/tex]
~
Hope this helps!
Answer:
x=14
Step-by-step explanation:
add 4 to each side then divide by 2
Show work please :)
2. 1/9 x 3/4
4. 5/7 divided by 2/3
5. 7.89 - 3.9
Answers
As per questions,
2.[tex] \frac{1}{9} \times \frac{3}{4} [/tex]
As 3 and 9 can be cancelled, we get,
[tex] \frac{1}{3} \times \frac{1}{4} [/tex]
Now multiplying denominators and numerators,
[tex] \frac{1}{12} [/tex]
Hence, the required answer is [tex] \frac{1}{12} [/tex]
4.[tex] \frac{ \frac{5}{7} }{ \frac{2}{3} } [/tex]
When the base denominator (2/3) is reciprocaled,
[tex] \frac{5}{7} \times \frac{3}{2} [/tex]
As we can't directly divide, so we can multiply them,
[tex] \frac{5 \times 3}{7 \times 2} [/tex]
[tex]→ \frac{15}{14} [/tex]
Hence, the required answer is [tex] \frac{15}{14} [/tex]
5)[tex]7.89 - 3.9[/tex]
Direct subtraction, (Check solution in attached image)
[tex]→3.99[/tex]
i know the frist when is 3/14 i just need help on the decimal and precent
Answers
Answer:
3/14 in decimal is 0.21428571428571
3/14 percent is 21.4
Workers in an office of 120 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away Frequency Angle
Pizza 18
a
Curry 5
b
Fish & chips 25
c
Kebab 3
d
Other 69
e
How many degrees represent 1 person?
Answers
Angles: 42°, 114°, 24°, 30°, 150°.
For each inequality, show it on the number line and write all one-digit integers that satisfy it. k>0
Answers
The one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
What is a number line?A number is a line that is made up of positive and negative numbers with the distance between the preceding and succeeding unit to be 1.
The negative values on the number line are -1, -2, -3...-9 while the value greater than zero are 1, 2, 3, 4,...9Hence the one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.Learn more on number line here: https://brainly.com/question/26480824
A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?
Answers
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
if they join together:
3x + 2 + x = 104x + 2 = 104x = 10 -24x = 8x = 2Longer piece:
3x + 23(2)+28 feetAnswer:
x+3x+2=10
4x=10-2
4x=8
x=8/4
x=2 ft. for the shorter piece./
3*2+2=6+2=8 ft. for the longer piece.
Proof:
8+2=10
10=10
Step-by-step explanation: hope it helps u
keep smile
Please help me fill in this chart! I can't figure out the formulas!!! 15 points to whoever solves this!!!
Answers
Answer:
72, 460, 14, 2468, 245, 17, 3485, 325, 20, 4368, 234.7, 23, 5631, 23 2/3
A regular hexagon is divided into four triangles. Which of the following is correct?
a) ΔABF≅ ΔEDF
b) ΔFDC≅ ΔFCB
c) ΔABF≅ ΔFBC
d) ΔFDC≅ ΔBCF
Pleasee answer fastt
Answers
Answer:
b)
...............
The six sides of the regular hexagon are each 4 (24 / 6)
The sides of the the triangle are 12 (they have been trisected with a 4 unit side one of sections.
Since the area of the triangle and the area of hexagon are readily determined,
what is the total area of the little triangles?
The area of an equilateral triangle of side x is x2√3 / 4, in this case 4√3
What is the area of all three?
the scatter plot shows how much a puppy weighs within a certain time period.
what is the correlation between days and weight?
About how much did the puppy gain during this time period? HELP PLEASE!!!!
Answers
Answer:
There is a positive correlation and the puppy gained about 1.5 kg
Step-by-step explanation:
→ Find initial weight
4.5
→ Find final weight
6.0
→ Subtract
1.5
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
This is the same dilation that you used in Question 3. What scale factor was used to create the dilated Triangle M'S'V'? In your answer, give the scale factor that was used and explain how you calculated it.
M'S'V': M' (-2, 2), S' (4, 2), V' (2, -2)
MSV: M (-3, 3), S (6, 3), V (3, -3)
Answers
The scale factor was used to create the dilated Triangle M'S'V' is 2/3
How to determine the scale factor of coordinatesGiven the following coordinate point M (-3, 3), S (6, 3), V (3, -3) which was dilated to get the coordinate point M' (-2, 2), S' (4, 2), V' (2, -2)
You can see that the scale factor is the ratio of the x coordinate of the image to that of the preimage as shown:
Determine the scale factorScale factor M'/M = -2/-3 =4/6 = 2/3
Hence the scale factor was used to create the dilated Triangle M'S'V' is 2/3
Learn more on scale factor here: https://brainly.com/question/25722260
Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.
r=8
Answers
wait hold on guys i am so freaking sorry im so bad at math um does anyone by any chance know what 4+8+8y–7 is? please im so sorry im bad at this
Answers
Answer:
8y + 5
Step-by-step explanation:
4 + 8 + 8y - 7
12 + 8y - 7
5 + 8y
8y + 5
5 × 2^4 ÷ (7 + 3)
Show all steps! Thanks!
Use the Order Of Operations!
Answers
Answer:
Step-by-step explanation:
First exponent: 2^4= 16
5 x 16/(7+3)
Next parenthesis: (7+3)= 10
5 x 16/10
Then multiply: 5 x 16= 80
80/10
Finally, Divide: 80/10= 8
So your answer is 8.
Hope this helps! :D
I need to find x, y and z. Can someone help me?
Answers
Answer:
look at the pictures
Step-by-step explanation:
The radius of a circle measures 13 yd. What is the circumference of the circle
Answers
Answer:
=81.64yd
Step-by-step explanation:
c=3.14d
c=(3.14)*(13+13)
=81.64yd
Hey i rlly want to be done with thiss lol don't delete;-;
Answers
Answer:
hello the correct answer is y=30x+20
Step-by-step explanation:
Mrs. Smith is ordering binders for her students. Each book costs $1.75 and there is a $5.50 flat fee for shipping. Which expression represents the total cost to ship b books?
A. (1.75 + 5.50)
B. 5.50 + 1.75
C. 1.75
D. 1.75 + 5.50
Answers
Answer:
1.75b +5.50
Step-by-step explanation:
1.75b= 1.75 a book
+ 5.50 = flat rate
There is a population of 5 bacteria in a colony. If the number of bacteria doubles every 31 minutes, what will the population be 62 minutes from now? Write your answer in the box
Answers
Answer:
10
Step-by-step explanation:
31 Plus 31 = 62
2 times so
5 X 2=10
In a classroom,
1
6
of the students are wearing blue shirts , and
2
3
are wearing white shirts. There are 18 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts?
Answers
Answer:
3 students in blue and 12 in white
Step-by-step explanation:
set 1/6 and 2/3 of it and you need to find that of 18
so you take 2/3*18 and get 12 students
and 1/6*18 and get 3 students
Question
Is it possible to construct a triangle with side lengths of 3, 6, and 9 units? If not, explain why not
Answers
Answer:
No
Step-by-step explanation:
No.
The triangle inequality theorem says that ANY two sides of a triangle MUST be greater than the third side.
In this case 3+6 is equivalent to 9 (it wouldn't be a triangle; just be a straight line), NOT greater, therefore is is not possible to construct a triangle with the given side lengths.
!!!20 POINTS!!!
Q1: A factory produces candy bars, with mean weight 5 grams. After the machines were updated with new tech, a worker worries the candy bars are now lighter on average. To test this theory, the worker collects a random sample of candy bars and measures their mean weight. Identify the null and alternative hypotheses in this situation.
Answers
The null hypothesis in this situation is the mean weight of the candy bars is not lighter.
The alternative hypothesis in this situation is the mean weight of the candy bars is lighter.
What is a hypothesis?
A hypothesis is an idea that gives a temporary explanation to a phenomena which would be proved or disapproved by carrying out an experiment .
The null hypothesis states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.
To learn more about null hypothesis, please check: https://brainly.com/question/18306091
Simplify Complex numbers 30 points
Answers
Answer:
o 1.
[tex] \frac{8 - 4i}{5i} \\ \\ \\ \frac{8 - 4i}{5i} \times \frac{ - 5i}{ - 5i} \\ \\ \frac{ - 40i + 20 {i}^{2} }{ - 25 {i}^{2} } = \frac{ - 40i - 20}{25} \\ \\ \frac{ - 20 - 40i}{25} = \frac{ - 20}{25} - \frac{40}{25} i \\ \\ = - \frac{4}{5} - \frac{8}{5} i \\ \\ = - 0.8 - 1.6i[/tex]
__o__o___
o 2.
[tex] \frac{2i}{ - 3 + 4i} \\ \\ \frac{2i}{ - 3 + 4i} \times \frac{ - 3 - 4i}{ - 3 - 4i} \\ \\ \frac{ - 6i - 8 {i}^{2} }{9 - 16 {i}^{2} } = \frac{ - 6i + 8}{9 + 16} \\ \\ \frac{8 - 6i}{25} = \frac{8}{25} - \frac{6}{25} i \\ \\ = 0.32 - 0.24i[/tex]
__o__o__
o 3.
[tex] \frac{2 - 3i}{1 - 2i} \\ \\ \frac{2 - 3i}{1 - 2i} \times \frac{1 + 2i}{1 + 2i} \\ \\ \frac{2 + i - 6 {i}^{2} }{1 - 4 {i}^{2} } = \frac{2 + i + 6}{1 + 4} \\ \\ \frac{8 + i}{5} = \frac{8}{5} + \frac{1}{5} i \\ \\ = 1.6 + 0.2i[/tex]
__o__o__
o 4.
[tex] \frac{3 + 2i}{4 + i} \\ \\ \frac{3 + 2i}{4 + i} \times \frac{4 - i}{4 - i} \\ \\ \frac{12 + 5i - 2 {i}^{2} }{16 - {i}^{2} } = \frac{12 + 5i + 2}{16 + 1} \\ \\ \frac{14 + 5i}{17} = \frac{14}{17} + \frac{5}{17} i[/tex]
pls help me do it its for my homework
Answers
Question:
Add 9 to y
Answer :
9 + y
A number cannot be added to variable so final product will be above expression formed!
Answer:
9+y
Step-by-step explanation:
+++++++++in the graph
an alphabet can't be added to a number
Please help me I need help
Answers
Answer:
huh
Step-by-step explanation:
The isosceles triangle has a perimeter of 7. 5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2. 1 m? 2 x minus 2. 1 equals 7. 5 4. 2 plus y equals 7. 5 y minus 4. 2 equals 7. 5 2. 1 plus 2 x equals 7. 5.
Answers
Using the perimeter formula of the Isosceles triangle the equation 2x + 2.1 = 7.5 is derived. The correct option is D.
What is the isosceles triangle?Triangle is a polygon that has three sides. The sum of the angle of the triangle is 180 degrees. The two sides of the triangle are equal.
Given
The isosceles triangle has a perimeter of 7.5 m.
We know the perimeter of the Isosceles triangle.
Perimeter = Sum of all sides of the triangle
Let the sides be x and y and
And let y be the shortest side.
For y = 2.1 m, the equation will be
[tex]\rm Perimeter = x + x +y\\[/tex]
On simplifying the equation, we get
2x + 2.1 = 7.5
The required equation is 2x + 2.1 = 7.5.
Thus, option D is correct.
More about the Isosceles triangle link is given below.
https://brainly.com/question/7915845
A quarter is tossed, then a letter from the word SNOWFLAKE is chosen. How many outcomes are possible?
Answers
Answer:
18 Outcomes
Step-by-step explanation:
When the quarter is tossed, there is a total of 2 outcomes:
Heads or Tails
When a letter from SNOWFLAKE is chosen, there is a total of 9 outcomes:
S,N,O,W,F,L,A,K,E
To find out how many outcomes are possible, we multiply the 2:
2×9=18
18 Outcomes
volume of cylinder is 240m find volume of the cone have same base and height
Answers
Answer:
80 cubic m
Step-by-step explanation:
If they have the same base and height, a cone always has 1/3 of the volume of a cylinder.
Please help! with explanation please
Answers
Answer:
a = 12
b = 6
Step-by-step explanation:
You have a 30°-60°-90° triangle which is a special right triangle. We memorize the ratios of the sides and can find the sides given just one side, by using the relationships between the sides, so we don't have to use trig ratios.
Generally, the LONGEST side (hypotenuse) is twice the shortest side. Or, the SHORTEST side is half the longest side (hypotenuse). The LONGER LEG is the short leg × sqrt(3).
Or the SHORT LEG is the
longer leg/sqroot(3)
You are given the long leg here. You have:
Long leg = 6sqroot(3)
So the short leg must be 6.
bc, longer leg IS Short leg×sqroot(3)
short leg =6
Then the LONGEST side (hypotenuse) has to be twice that.
LONGEST side = 12
Where it says "Prove side c" maybe that is like doing a check.
6^2 + (6sqrt3)^2 = 12^2
36 + 108 = 144
144=144
CHECK!
Cheyenne ran a 6.86-kilometer race in 49 minutes. What was her speed in kilometers per hour?
Answers
Answer:
i didnt mean to press answer
Step-by-step explanation:
It took Trinh 4 hours to ride her bicycle 48 miles. Assuming she rode at a constant speed, how many miles did she ride per hour?
Answers
Answer:
12 mph
Step-by-step explanation:
per means divided by so
48 miles / 4 hour
12 m/h
4/48=x/1
4(1)=48x
x=12