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Nutka1998 [239]
3 years ago
5

The area of the shape below is

Mathematics
2 answers:
hram777 [196]3 years ago
6 0

Answer:

Its D. 3cm

____________

vazorg [7]3 years ago
4 0

Answer:

D=3

Step-by-step explanation:

Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.

Area of one rectangle is 12 × 6 = 72

Area of 2nd rectangle is 4 × a = 4a.

Since we know the total area of figure is 84

that means

72 + 4a = 84

4a = 84 - 72

4a = 12

a = 12 ÷ 4 = 3

a=3

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Michael uses a uniform probability model for an experiment using a deck of 45 cards. There are 15 blue card, 15 red cards, and 1
vampirchik [111]

Answer:

<em>P</em> = 2/3

Step-by-step explanation:

45 cards in all

15 blue

15 red

15 green

To figure out the probability of red and blue together, add red and blue.

15 + 15 = 30

Since the total is 45, this is how many 30 will be out of.

30 out of 45 = 30/45

Simplify 30/45 by dividing each side by 15

30 ÷ 15 = 2

45 ÷ 15 = 3

30/45 = 2/3

6 0
2 years ago
What is the sum of the arithmetic sequence 3, 9, 15…, If there are 34 terms?
snow_tiger [21]

Answer:

first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)

an = a1 + (n-1) * d

n = the term we want to find = 34

a1 = first term = 3

d = common difference = 6

now we sub

a34 = 3 + (34-1) * 6

a34 = 3 + (33 * 6)

a34 = 3 + 198

a34 = 201

now we use the sum formula

Sn = (n (a1 + an)) / 2

S34 = (34(3 + 201))/2

s34 = (34(204)) / 2

s34 = 6936/2

s34 = 3468 <=== the sum of the first 34 terms:

6 0
3 years ago
Find the volume of the prism.<br><br><br><br> The volume is <br> cubic inches.
Liono4ka [1.6K]

<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3</em><em>/</em><em>1</em><em>0</em><em> </em><em>cubic</em><em> </em><em>inches</em><em>.</em>

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3 years ago
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Which expression represents a factorization of 16a - 24ab
Marizza181 [45]

I would choose A

You can simply try every answer and see which one gives you 16a-24ab

4 0
2 years ago
Using the provided measures determine the measure of angle K.
forsale [732]

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

Multiply both sides by 3.18

sin(K) = \frac{sin(64)}{5}*3.18

sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

5 0
2 years ago
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