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zavuch27 [327]
3 years ago
14

The net of an equilateral triangular pyramid is shown below. Use the ruler in the toolbar to the right to measure the dimensions

of the net to the nearest 1/4 inch.
Which measurement is the closest to the lateral surface area of the pyramid?




A. 7 in.2


B. 5.25 in.2


C. 1.75 in.2


D. 3.5 in.2
Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

B. 5.25in2

Step-by-step explanation:

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If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

8 0
3 years ago
20 POINTS!!!!!
harina [27]

Answer:

20.  300π m³

21.  457 1/3 π cm³

Step-by-step explanation:

20. r = 10 ÷ 2 = 5

V = 5² × 12 × π = 25 × 12π=300π m³

21. r = 14 ÷ 2 = 7

V = \frac{4}{3} \pi 7x^{3}

V = 457 1/3 π cm³

4 0
3 years ago
Emily and Tammy each opened checking accounts on the same day, intending to withdraw money for weekly expenses. Emily opened her
Lunna [17]

Answer:

15 weeks

Step-by-step explanation:

8 0
3 years ago
If f(x)=2x and g(x)= 1/x, what is the domain of (f*g) (x)
postnew [5]

Answer:

The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)

Step-by-step explanation:

(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;

f(x)=2x

g(x)= 1/x

(f*g) (x) = f(x) * g(x)

(f*g) (x) = 2x * 1/x = 2

This is a horizontal line defined everywhere on the real line. The domain of  (f*g) (x) is thus ( -∞, ∞)

7 0
4 years ago
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3x(5-2)=(3x5)-(3x2) explain how you could use the distributive property and mental math to find 5x198
Lynna [10]
The Distributive Property Is Used When You Multiply 3x To (5-2) Which Then Means
15x-6x= 15-6
9x=9
Divide Both Sides By 9
x=1
6 0
3 years ago
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