Gerard is calculating the area of a composite figure. The figure is made up of a square with side lengths of 6 centimeters (cm) and a triangle with a base of 6 cm and a height of 3.5 cm.
Gerard multiplies 6 by 3.5 to get that the area of the figure is 21 cm2, which is not the correct area.
Which statement correctly describes how Gerard could have found the correct answer?
-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 27 cm2, to get 63 sq. cm.
-He should have added 6 to 3.5 to get 9.5 sq. cm.
-He should have multiplied 21 by 12 to get 10.5 sq. cm.
-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 10.5 cm2, to get 46.5 sq. cm.
HELP PLEASE
The correct statement is Gerard should have found the area of the square, 36 cm², and added it to the area of the triangle, 10.5 cm², to get 46.5 sq. cm.
What is Area?Area of a geometrical shape or figure in two dimension is the space which lies within the boundary of the shape.
The given composite figure composed of a triangle and a square.
So, we should find the area of both the triangle and the square and add it to get the area of the composite figure.
Let A₁ and A₂ be the area of the square and area of the triangle respectively.
Area of a square with side lengths 'a' = a²
Here, length of the side of the square = 6 cm
A₁ = 6² = 36 cm²
Area of a triangle with base 'b' and height 'h' = [tex]\frac{1}{2}[/tex] × b × h
Here, b = 6 cm and h = 3.5 cm
A₂ = [tex]\frac{1}{2}[/tex] × 6 × 3.5 = 10.5 cm²
Area of the composite figure = A₁ + A₂
= 36 cm² + 10.5 cm²
= 46.5 cm²
Hence Gerard could have found the correct answer by finding the area of the square as 36 cm², and adding it to the area of the triangle, 10.5 cm², to get the area of the figure as 46.5 cm².
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click the screenshot everything is there pls help i only have 5 mins left
Answer:
3/2 and 3/4
Step-by-step explanation:
First, we need to know: what is a decimal that terminates?
A decimal that terminates is a decimal that has an end
For ex: 1/4 = 0.25
The decimal won't go on and on, it ends with only a few digits
Here's an example of one that doesn't terminate:
1/3 = 0.3333333333333333333333333333333333 . . . . . and so on
With this knowledge, we can look at the fractions in your problem: 3/2, 2/3, 3/4, and 5/7
To find the decimals, divide the numerator by the denominator, you get:
1.5, 0.66666666 . . ., 0.75, and 0.71428571428 . .,
We can see that the first and third don't run on, while the second and last do.
Therefore, your answer would be 3/2 and 3/4
write down the inequality shown on the number line.
Answer:
The inequality on the number line shown is {x:x<2}
The inequality shown on the number line is represented by the relation x<2.
As, the inequality on a number line, the notation includes the open circle at 2.
This means that the value of 2 itself is not included in the set of solutions.
In the notation "x < 2," the symbol "<" indicates "less than," and the number 2 is the upper bound of the inequality.
Since the inequality is strict, use an open circle to show that the point 2 is not part of the solution set.
Therefore, the inequality is "x < 2".
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Find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.
y = ?
Answer:
y = -1/5 x -2
Step-by-step explanation:
Given line y = 5x - 1
as in slope intercept form m = 5
point (5, -3)
for two lines to be perpendicular product of slopes must be -1\
so for new line slope is
m1 * m2 = -1
5 * m2 = -1
m2 = -1/5
line equation is y - (-3) = -1/5 (x - 5)
y + 3 = -1/5 x + 1
y = -1/5 x + 1 - 3
y = -1/5 x -2
Answer:
Step-by-step explanation:
Slope of the ⊥ line is ( - [tex]\frac{1}{5}[/tex] )
y - ( - 3 ) = - [tex]\frac{1}{5}[/tex] ( x - 5 )
y + 3 = - [tex]\frac{1}{5}[/tex] x + 1
y = - [tex]\frac{1}{5}[/tex] x - 2
1 HELLPPP MEEEEEEE PLEASEEEEE
Angle B and angle C are supplementary. If the measure of angle B is 14 times the measure of angle C, what is the difference between the angles' measures?
Enter your answer as the correct number of degrees, like this: 42
HELP PLEASEEEEEE
Answer:
156°Step 1: Create an Equation Using the idea (Angle B + Angle C = 180°)
=> 14x + x = 180°
Step 2: Solve.
=> 14x + x = 180°
=> 15x = 180°
=> x = 12°
Step 3: Multiply 12 by 14.
=> 12 x 14 = 168°
Step 4: Subtract 168 by 12.
=> 168 - 12
=> 156°
Final Answer:
After working on this problem, we can conclude that the difference between Angle B and Angle C is 156°
Hoped this helped.
the serving size for a toddlers daily vitamin c is 3/4 cup of orange juice. if there are 2 1/4
cups of orange juice how many servings of vitamin c are there for a toddler
Answer:
Three servings
To find the number of servings we need to determine how many sets of 3/4 there are in 2 1/4 .
2 1/4 divided by 2 (4) + 1 = 1/4= 4/1 = 4 which will equal 9/4
9/4 divided by 3/4= 9/4 x 4/3 =9/3= 3 servings
Step-by-step explanation:
What is 4 – (-6)?
What is the sum of -2/3 and -4/6?
Answer:
4-(-6)=10
-2/3-4/6=-1 2/6
Solve each problem using strategies you have learned about multiplication.
1. Select True or False for each comparison statement.
A. 6 times as many as 6 is 30. ☐ True ☐ False
B. 8 times as many as 3 is 24. ☐ True ☐ False
C. 36 is 9 times as many as 3. ☐ True ☐ False
D. 40 is 4 times as many as 10. ☐ True ☐ False
E. 45 is 5 times as many as 9. ☐ True ☐ False
2. Hilary has 48 building blocks in the red bucket. That is 6 times as many blocks in the
green bucket. How many building blocks are in the green bucket?
4. Ethan ate 7 jellybeans. Maddison ate 21 jellybeans. How many times more jellybeans
did Maddison eat?
Answer:
A - false
B - true
C - false
D - true
E - true
2. 8
4. 3
Step-by-step explanation:
i did the math
Answer:
a.f
b.t
c.f
d.t
e.t
Step-by-step explanation:
solve the equation 60= 3/4 h
Answer:
H=80
Step-by-step explanation:
Part of a Whole Write a fraction to name the shaded part. (3.NF.A.1)
Please help!
Answer:
1.
5 shaded parts
6 total parts
fraction = 5/6
2.
1 shaded part
4 total parts
fraction = 1/4
Step-by-step explanation:
This is urgent please help I give brainliest if right
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
every time x changes y goes up by 5
How many fossilized snail shells does Elmer have?
Answer:
279
Step-by-step explanation:
Gaetano spent $ 11.34 on Pens. If each Pen costs $1.89, how many pens did he buy?
Answer:
6 pens
Step-by-step explanation:
11.34÷1.89=6
so that means 6 pens
(2x+1)(x+5)
6x-4xy
16x^2-25
Step-by-step explanation:
i believe what you need help on is simplifying the equations. so let's start with the first one.
====================================================================
(2x+1)(x+5) original problem
(2x)(x)+(2x)(5)+(1)(x)+(1)(5) we can break this down into smaller pieces so we know what we're dealing with in this equation.
2x2+10x+x+5 if we break this down a little more and add some bracket numbers, this is what we get.
2x2+11x+5 this is the most simplified equation.
====================================================================
6x−4xy original problem.
unlike the last problem, we can easily just... 6x + (−4xy).
−4xy+6x this is the most simplified equation.
====================================================================
ok, the last one. phew!
unfortunately, 16x^2-25 is actually the simplest it can get. so, let's try factoring.
if we factored, we would get...
(4x+5)(4x−5)
===================================================================
hope this helps! :>
The length and width of a square is 9.5 inches (for both) what is the area and perimeter?
Answer:
90.25, 38
Step-by-step explanation:
The area is the two sides multiplied against each other, so 9.5*9.5
Since it's a square all of the sides are 9.5 inches, so just multiply 9.5 times 4 for the perimeter
If r = 30 and t = 6, what is the value of the following expression?
r + 48 ÷ t · 4
A.
68
B.
73
C.
52
D.
62
Answer:
Its c
Step-by-step explanation:
52
Answer:
D. 62
Step-by-step explanation:
48/6 = 8
8 • 4 = 32
30 + 32 = 62
At a lightbulb factory, the production average for the first shift is 956 bulbs, 1695 bulbs for the second shift, and 735 bulbs for the third shift. What is a reasonable number of boxes for the company to have for one day's production if each box holds 24 lightbulbs?
A 120
B 140
C 160
D 200
Answer:
the answer is c i did it and i got it correct
A rectangular farm has an area of 15 square miles. If its length is 23 miles, what is its width?
Answer:
0.65217mi (or 0.65mi)
Explanation:
1. Use the formula...
Area = width × length
2. Solve for W
w = [tex]\frac{a}{l}[/tex] = [tex]\frac{15}{23}[/tex] ≈ 0.65217mi
Answer:
0.65217mi (or 0.65mi)
Step-by-step explanation:
A bag with 10 marbles has 2 yellow marbles, 4 red marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is not yellow?
Write your answer as a fraction in simplest form.
Answer:
1/5!
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
4 + 4 = 8
8/10 = 4/5
Hope this helps!
(Can you give me brainliest?)
Solve for x.
x - 6.3 = 4.7
Answer:
x equals 11
Step-by-step explanation:
Can someone please help me? I’m not sure of the answers.
Answer:
I think it is y scale: 1250
x scale: 10
slope: 125
please correct me if I have made a mistake in the comments
A local car rental business charges an upfront fee of $25 plus an additional charge per mile. When Steven drove 200 miles, his bill came to $45. Which equation represents this relationship?
A) y = 10x + 25
B) y = 0.10x + 25
C) y = 45x + 25
D) y = 25x + 45
Answer:
y = 25x + 45
Step-by-step explanation:
Sorry if I am wrong but I think this is correct.
Brainliest PLEASE!!!!
pls help... 30 pts.. i'm so tired rn-
On the following scale drawing, the scale is 2 centimeters = 1 meter
Make a new scale drawing of this rectangular figure using the scale 3 centimeters = 1 meter. Make sure to label the new dimensions.
What are the actual dimensions of the figure?
12 POINTS: Last night, the two dinner specials at Jamie's favorite restaurant were salmon filet and steak. The restaurant served 70 specials in all, 49 of which were the salmon filet. What percentage of the specials were salmon filets?
12 points if solve, will give brainliest to the correct answer
PLEASE! i need help please and thank you!
Congrats for helping me! helpful
Answer:
Rounding, 30% of the specials steaks were served. 70% was most likely salmon fillets served.
Step-by-step explanation:
In a package of 60 markers, the number of black markers is 3/7 of the other colour. Find the number of black markers in the package,
Step-by-step explanation:
Im so sorry i took so long to answer i had to do a lot of typing and in the middle my laptop ran out of charge so it took me a while to turn it on.I think it took about 1 hour to write this im so sorry here is the answer :
What is the answer its forcing me to write more so how is your day if its not good i hope it gets better
Answer:
good
Step-by-step explanation:
Elijah has 4 new dogs and wants to build a square fence in his backyard for them. He wants the sides to each measure (x + 6) feet. Which expression below would he use to find the perimeter of the fence?
Find the equation of a line containing the given points. Write the equation in slope-intercept form.
Brainliest to first answer and 50 pts ;) no links or will report
Info:
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.
- She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
- The labor costs are $23 per hour, per person.
- A two-person carpet crew can lay 50 square feet of carpet each hour.
- The crew that will complete the job at Charlotte's house will be a four-person crew.
- There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
Question:
What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
Length: _____feet
Width: ______feet
[I would rlly appreciate the help, and again pls no links ty in advance]
Answer:
50 and 10
Step-by-step explanation: