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lianna [129]
2 years ago
12

Find the area of the trapezoid.

Mathematics
1 answer:
vekshin12 years ago
8 0

Answer:

18

Step-by-step explanation:

7 - 5 = 2

triangle = bh/2

triangle = 2(3) / 2

triangle = 3

rect = bh

rect = 3 x 5

rect = 15

trapezoid = 15 + 3

trapezoid = 18

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Find all the missing sides and angles of this triangle,
iren2701 [21]

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

8 0
3 years ago
Simplify 4 to the 7th over 5 squared all raised to the 3rd power.
Nikolay [14]
\bf \left( \cfrac{4^7}{5^2} \right)^3\impliedby \textit{first, let's distribute the exponent}&#10;\\\\\\&#10;\left( \cfrac{4^{7\cdot 3}}{5^{2\cdot 3}} \right)\implies \cfrac{4^{21}}{5^6}&#10;\implies \cfrac{4398046511104}{15625}
4 0
3 years ago
What is (6x+4) - (4x+2)
Nana76 [90]

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

4 0
2 years ago
A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. What i
Gnesinka [82]

Answer:

95% confidence interval: (2.784,3.176)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 25

Sample mean = $2.98

Standard error = $0.10

Alpha = 0.05

95% confidence interval:

\mu \pm z_{critical}(\text{Standard error})

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

2.98 \pm 1.96(0.10) = 2.98 \pm 0.196 = (2.784,3.176)

5 0
3 years ago
Can someone answer this its just boxplots :)))
romanna [79]

Answer:

31 + 71 = 102

102/100

1.02

Step-by-step explanation:

7 0
3 years ago
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