1. A rectangular picture 6cm by 8cm is enclosed by a frame 1/2cm wide. Calculate the area of the frame. A.15sq cm B. 20 sq cm C. 13 sq cm D. 16 sq cm E. 17​

Answers

Answer 1

Answer:

The area of 1/2 cm wide frame = 48 - 35 = 13 cm²

Step-by-step explanation:

Length of rectangular picture frame = 6 cm

Width of rectangular picture frame = 8 cm

Area of rectangular picture frame = 6×8 cm² = 48 cm²

Length, excluding 1/2 cm wide frame of rectangular picture = (6–1/2-1/2) = 5 cm

Width, excluding 1/2 cm wide frame of rectangular picture = (8–1/2-1/2) = 7 cm

Area, excluding 1/2 cm wide frame of rectangular picture = 5×7 cm² = 35 cm²

Area of 1/2 cm wide frame = 48 - 35 = 13 cm²

Therefore, the area of 1/2 cm wide frame = 48 - 35 = 13 cm²


Related Questions

Part D
Write an expression for the area of square 5 by combining the areas of the four
triangles and the one square.

IM CONFUSED PLEASE HELP

Answers

Answer:

the area would be 10 i

Step-by-step explanation:

reason being the base is 4 and the height is 5 the answer was right for me

what i has highlighted in the picture is the answer

Help me please will mark

Answers

Answer:

1. A = 64 cm²

2. A = 240 yd²

3. A = 220.5 cm²

4. A = 193.4 m²

Step-by-step explanation:

1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.

Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

2. We want to split this figure into a triangle and a rectangle.

Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.

For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.

Do this same thing to find the height of the triangle.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

3. We want to split this figure into a triangle and semicircle.

We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.

Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

4. We want to split this figure into a rectangle and semicircle.

For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.

Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.

Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

please help i need the answer asap :) !!

Answers

Answer:

6^(2/3)

Step-by-step explanation:

exponent fraction rule

Answer:

the first one, 6^2/3

Step-by-step explanation:

GIVING BRAINIEST

Which of the following is an example of DESCEND?

A. a car traveling through a tunnel
B. a hiker climbing a mountain
C. a plane landing at the airport
D. a submarine climbing to the surface of the ocean

Answers

Answer:

D because you going up to the surface

Answer:

its c

Step-by-step explanation:

add 4 1/7+5 3/7+2/7.

Answers

Answer:

9 6/7 is the answer

The answer is 9 6/7 hope this helps

Please help me will give Brain

Answers

Step-by-step explanation:

y=42

x=90

Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.

Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42

Hope this helps :)

Please Help!! Brainliest Answer! Thank you!

Answers

Answer:

x=4.5

Step-by-step explanation:

The sum of all the angles in a square=360°

20(4.5)=90

90×4=360

We have a square here. All angles are congruent (90 degrees) so 20x would equal 90 degrees
20x=90
x=4.5
Now let’s double check
20x
20(4.5)
90
Yep the answer is choice B) x=4.5

all expressions equivalent to 6x+1-(3x-1)​

Answers

6x + 1 - (3x-1)
6x +1 - 3x +1
3x +1+1
Answer = 3x + 2

Hellooo can someone help me :)

Answers

Step-by-step explanation:

You will need the hypotnuse. to find that use a squared plus b squared is c squared

.
Simplify the expression. (–5g5h6)2(g4h2)4




A. 25g26h20

B. –25g26h20

C. 25g15h14

Answers

Answer:

Step-by-step explanation:

(–5g^5 h^6)^2 × (g^4 h^2)^4        the ^ carot symbol means raised to power X

 (25 g^10 h^12) × (g^16 h^8)         exponents raised to powers MULTIPLY

  -5² = 25   g^5² = g^10  h^6² = h^12     do the same thing with   (g^4 h^2)^4

  25 g^(10+16) h^(12+8)                 collecting terms powers ADD

  25 g^26 h^20                         Which letter is the answer?  

                                                  Did you follow my explaination?

                                           

Answer:

B. –25g26h20

Step-by-step explanation:

1. Use the distributive property to write an expression that is equivalent to 12+4x.

Answers

Since 4 and 12 share a common factor of 4, you could write:

4x + 12 = 4 (x + 3)

Also, since 4 and 12 share a common factor of 2, you could write:
4x + 12 = 2 ( 2x + 6)

classify the following triangle as acute obtuse or right​

Answers

Acute - all the angles are less than 90 degrees

Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.

Answers

That would be 90% of the compound semi

The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.

Answers

Answer:

4,n=4

Step-by-step explanation:

D=(n,-2) and E=(n,2)

the distance from D to E ,

√{(n-n)^2+(-2-2)^2}=√16=4

the co-ordinate of point C=(0,-2)

given,DC=DE

→√{(n-0)^2+(-2+2)^2}=√16

→n^2=16

therefore,n=4

What is the solution to the equation 4 + 3sqrt 2y = 6

Answers

Answer:

the answer it's not correct because you have to put the 6x

Step-by-step explanation:

if you do not put an x after you put the number it would you would get it wrong

The number of students enrolled at a college is 14,000and grows 4%each year

Answers

Answer:

so what exactly is the question? it's not complete yet, I guess..what do you want me to find?

Bob earns $2900 per month. 15% of his salary is deducted for his car loan. Which operation do I use?

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Bob earns $2900 per month. 15% of his salary is deducted for his car loan.

First, we need to calculate the deduction for the car:

Deduction= 2,900*0.15

Deduction= $435

Now, the monthly salary that remains for Bob:

Montlhy salary= 2,900 - 435

Monthly salary= $2,465

The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter.​ pls help

Answers

Answer:

The perimeter of a rectangular field is 100 meters

Step-by-step explanation:

The given data of the rectangular field are;

The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²

The total cost of levelling the field, T[tex]_c[/tex] = 30,000

The length to breadth ratio of the field, L:B = 3:2

Where;

L = The length of the field

B= The breadth of the field

From the given data of the field, we have;

The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]

∴ A = 30,000/(50/m²) = 600 m²

The area of the field, A = 600 m²

The formula for the area of a rectangle, A = Length, L × Breadth, B

A = L × B

We are given that the length to breadth ratio of the field, L:B = 3:2

∴ L/B = 3/2

L = (3/2) × B

The area of the rectangular field, A = L × B

∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²

A = (3/2) × B²

From the calculation for the cost of levelling the field, we have, A = 600 m²

∴ A = (3/2) × B²

A = 600 m²

By transitive property, we have;

(3/2) × B² = 600 m²

B² = (2/3) × 600 m² = 400 m²

B = √(400 m²) = 20 m

The breadth of the field, B = 20 m

From L = (3/2) × B, we have;

L = (3/2) × B

∴ L = (3/2) × 20 m = 30 m

∴ The  length of the field, L = 30 m

The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;

The perimeter of a rectangle, P = 2·L + 2·B

Therefore, for the rectangular field, we have;

P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m

The perimeter of a rectangular field, P = 100 m.

Enter the equation of the circle described below.

Center (3, -2), radius = 5

Answers

Answer:

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

Step-by-step explanation:

The equation of the circle with center A=(a,b) and radius = r are:

[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]

When A=(3,-2) and radius=r=-5

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]


The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.

Answers

Answer:

74%

Step-by-step explanation:

What value from the set { 1/2, 1/4, 6/4, 10/3 } is a value of x that will make the equation 3/5 ÷ x = 12/5 true?

Answers

Answer:

1/4

Step-by-step explanation:

[tex] \frac{3}5 \div x = \frac{12}{5} \\ \\ \frac{3}{5 } \times \frac{1}{x} = \frac{12}{5} \\ \\ \frac{3}{5x} = \frac{12}{5} \\ \\ x = \frac{3 \times 5}{12 \times 5} \\ \\ x = \frac{1}{4} [/tex]

Evaluate the expression for
b = -6.
3b =

Answers

Answer:

-18

Step-by-step explanation:

Hope that helps

You do 3(-6) to get neg 18

Answer:

-18

Step-by-step explanation:

-6 x 3 = - 18.

PLEASE HELP Vance is buying a new car for $23,084. If he is
trading in his old car for $9,567 to go towards
his new car, how much will he need to pay
for his new car?

Answers

Answer:

23,084-9,567= 13,517 so he will have to pay $13,517

A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?

A) $60
B) $760
C) $1600
D) $2000​

Answers

Answer:
D) $2000

Step by step explanation:
1600 + 12(500) = 1600 + 6000 = 7600
7600 - 5600 = 2000
Hope this helps!

Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?

Reward:Brainliest


Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

15:00PM or 3:00PM they mean the same thing

Answer:

15:00 PM and 3:00 PM ,they mean the same exact thing

Step-by-step explanation:

For the rhombus below, find the measure of 1, 2, 3, and 4.

Answers

Answer:

Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51

Step-by-step explanation:

A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.

Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.

Alt. interior angles are congruent so Angle 3=39.

In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.

[tex]39 + 90 + x = 180[/tex]

[tex]129 + x = 180[/tex]

[tex]x = 51[/tex]

so angle 4=51.

Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.

Rhombus also has angle bisectors to angle 1=angle 2.

Angle 2=51.

Is these correct bro

Answers

Answer:

yes

Step-by-step explanation:

if my eyes are good then yes

Item 9 Find the surface area of the cone with diameter d and slant height l. Round to the nearest tenth. d=12 cm l=85mm

Answers

Answer: [tex]160.28\ cm^2[/tex]

Step-by-step explanation:

Given

diameter of cone [tex]d=12\ cm[/tex]

radius is [tex]r=\frac{d}{2}=6\ cm[/tex]

The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]

The surface area of a cone is

[tex]\Rightarrow A=\pi rl[/tex]

Substitute the value

[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

55 lbs of $0.40 and 45 lbs of $1.40  

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:

0.4 * x + 1.4 (100-x) = 0.85 * 100

Solve!

0.4x + 140 - 1.4x = 85

-x + 140 = 85

-x = -55

x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40

-3(n + 4)= 9 what solution is n

Answers

Answer:

-7

Step-by-step explanation:

[tex] - 3(n + 4) = 9 \\ \\ - 3n - 12 = 9 \\ \\ - 3n = 12 + 9 \\ \\ - 3n = 21 \\ \\ n = \frac{ - 21}{3} \\ \\ n = - 7[/tex]

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