Question 7(Multiple Choice Worth 5 points)

(05.01 LC)

Which equation can be used to calculate the area of the shaded triangle in the figure below?

[ image ]

A // 2(12 + 4) = 32
B // fraction 1 over 2(12 + 4) = 8
C // 2(12 × 4) = 96
D // fraction 1 over 2(12 × 4) = 24

Answer:

8 cm

Step-by-step explanation:

[tex] \large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S\: START}} : [/tex]

[tex] \boxed {\large{ \bf {\: ♕ \: {h}^{2} = {p}^{2} + {b}^{2} }}}[/tex]

- Plug the known values and then simplify !

[tex] \large{ \tt{ ↦ \: {10}^{2} = {6}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{↦100 = 36 + {b}^{2} }}[/tex]

[tex] \large{ \tt{↦36 + {b}^{2} = 100 }}[/tex]

[tex] \large{ \tt{ ↦{b}^{2} = 100 - 36}}[/tex]

[tex] \large{ \tt{↦ {b}^{2} = 64}}[/tex]

[tex] \large{ \tt{↦b = \sqrt{64}}} [/tex]

[tex] \boxed{ \large{ \tt{↦ \: b = 8 \: cm}}}[/tex]

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Answer:

The rectangle is being reduced by a scale factor of 3/4, which means each side is reduced by the scale factor of 3/4. Therefore, we have 8* (3/4) = 6, and 20* (3/4) = 15. So, the new side lengths are 6 and 15, and so the area is 90 (6x15).

Answer:

90 cm^2

Step-by-step explanation:

The side lengths are reduced by 3/4

8 * 3/4 = 6

20 * 3/4 = 15

The new side lengths are 6 cm by 15 cm

The area is

A = l * w

A = 6*15 = 90 cm^2

Answer:

(-2,3)

Step-by-step explanation:

:)

Answer:

7.09

Step-by-step explanation:

Answer:

Trapezoid i think

Answer:

175.93 feet

Step-by-step explanation:

First, you divide 18 by 2 to get the radius which is 9. Then you do nine squared. Lastly, you do 64 times 3.14 to get 254.47 (rounded)

Now, you do 5 squared which is 25. Then you multiply 25 by 3.14 to get 78.54 (rounded).

Now you subtract

254.47 - 78.54 = 175.93

Note: I rounded these in the example, the decimal places still go on so the rounded answers may not subtract to the correct answers because all the decimal points weren't shown, but the answer is correct.

Answer: I got this-...

Step-by-step explanation:

11. The fifty foot ladder was set up at almost horizontal angle, she could be halfway on her fall.

12. A secret

13. Envelope

14. Nowhere, because they are "survivors"

15. She sleeps at night

16. 20 hours

17.  They were all married, that's why there was no one "single"

18. 6 apples

19. Add a 'g' to 'one' and its 'gone'

20. Light the match first

Answer:

perimeter= p1+p2 +p3+p4=add all sides.

area =l×b=

(10m×14m)= 140m

Answer:

Perimeter = 33.4248cm

Area = 29.42478cm²

Step-by-step explanation:

Perimeter = half circle + rectangle length + radius + 90degree section + rectangle length + radius

radius of the circles = (14 - 10)/2 = 2

Perimeter = 2π + 10 + 2 + π + 10 + 2

Perimeter = 3π + 24 = 33.4248cm

Area = half circle + rectangle + quarter circle

Area = π(2)²/2 + 10×2 + π(2)²/4

Area = 29.42478cm²

Answer:

m/3=8.84

3(m/3)=3(8.84)

m= $26.52

Step-by-step explanation:

Answer:

The box which weights a ton.

Step-by-step explanation:

Ounces are smaller than pounds, and pounds are smaller than a ton.

Answer:

The third box weighed the most.

Step-by-step explanation:

Tons weigh a lot more than pounds and ounces.

Answer:

Her trip took 2hrs 30 minutes

Step-by-step explanation:

First part: She was going 80 miles an hour and only travels 40 miles so that's 30 minutes.

Second part: she traveled 100 miles at a speed of 50 miles per hour so that's two hours.

2hrs + 30 mins

2hrs 30 mins

Answer:

2/72, and 3/108.

Step-by-step explanation:

Just multiply the numerator and denominator by the same amount to get an answer.

Answer:______

12/72

24/144

Answer:

(s+16)(s-16)

Step-by-step explanation:

s^2-256

s^2-(16)^2

a^2-b^2= (a+b)(a-b)

(s+16)(s-16)

Answer:

1.      5 ( − 6 ) 2

2.     (−16)(+16)

3.     ( 7q-3r) ^2  

Step-by-step explanation:

5a^2 - 60a + 180   we factor 5 as multiple of a alone (outside of brackets)

Then we keep the common a with its number as 180 doesn't share a

Then we look solely for two numbers that add up to 60 and multiply to 180

We show in the first line what we found and then continue to factor the square of a in format of 5a^(2) and format of -6a-6a to find 5(a2−6a−6a+36) like below until its completed in factored form - 6 -6 would multiply to find +36 and -6-6 subtracts to find -12.

5a^2 - 60a + 180

5(  ^ 2 − 1 2 + 3 6)  

5 ( ^ 2 − 6 − 6 + 3 6 )

5(a^{2}-6a-6a+36)

5(a2−6a−6a+36)

5 ( ( − 6 ) − 6 ( − 6 ) )

5 ( − 6 ) ( − 6 )

5 ( − 6 ) 2

2.

s^2 - 256

2 + 1 6 − 1 6 − 2 5 6

(+16)−16(+16)

(−16)(+16)

3.  

49q^2 + 42qr + 9r^2

(7q )^2 + (7 x 6 + qr) + 3r^2  like by like = 7q and 3r as 3+3 = 6 when squared is our factor outside of brackets and we notice that 6 is not squared in rule.

( 7q-3r) ^2  

Answer:

Step-by-step explanation:

angle 2 is 43 degree because angle 2 and 43 are vertically opposite angle and vertically opposite angles are always equal.

angle 1 is 137 degree because the sum of two angles in a straight line is always 180 degree.so

43+angle 1=180 degree

angle 1=180-43 degree

angle 3 is 137 degree because the relation between between angle 3 and 137 degree is vertically opposite angles and vertically opposite angles are always equal.

vertically opposite angles=e and c

complementary angle=b and c

supplementary angle=e and d

[tex] \huge \green{\underbrace{ \red{\rm \: Answer}}}[/tex]

To find the area of this square, we have to figure out what to do with given radius

Radius makes half of the square's diagonal, therefore: d=2r=32d=2r=32 mm. Now we have to find the side aa to find the area.

To find aa, use the Pythagorean Theorem.

[tex] d^{2}&=a^{2}+a^{2} \\ 32^{2}&=2a^{2}\\ 1024&=2a^{2}\\ 512\text{ mm}^{2}&=a^{2}a^{2}[/tex]

Set the equation accordingly.

Substitute for d.

You can keep a2 as we will use it in the area.

[tex]\textbf{Finding the area} \\A=a^{2} \\A=512\text{ mm}^{2}[/tex]

[tex]\rule{1000pt}{1pt}[/tex]

Thankyou :D

Answer: Hey, the answer is 2 dogs

Step-by-step explanation:

"Mean" means Average and these problems are easy to solve I promise there are ten numbers listed add all of them together 2+1+3+2+2+1+4+0+1+4 That will add up to 20 you divide 20 by ten because there are ten numbers. There are good videos about this on Khan academy for median, mode, and mean which I assume is the unit you're on. :)

Answer:

y=10x

Step-by-step explanation:

The slope is 10/1 and it's positive.

Answer: on paper

Step-by-step explanation:

Answer:

See the picture I included :D

PLease give me brainliest if I helped!

Answer: 19 1/2

Step-by-step explanation:

Answer:

x = 37

Step-by-step explanation:

The angle with a measure of 74 degrees and the angle labeled "2x" are vertical angles

Vertical angles are congruent ( equal to each other )

Hence, 74 = 2x

             ^(note that we just created an equation that we can use to solve for x)

Now we solve for x

74 = 2x

step 1 divide each side by 2

74 / 2= 37

2x / 2 = x

we're left with x = 37

Answer:

L

Step-by-step explanation:

Pls mark me brainliest.

Answer:

Point L

Step-by-step explanation:

Point L is located at x, the horizontal coordinate, -3, 3 to the left, and is 0 units up/down, on the y coordinate.

x coordinate ALWAYS comes first, unless you're doing slope