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scZoUnD [109]
2 years ago
12

If you were planning a meal for 24 people,

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
6 0
24 x 2 = 48

48 divided by 12 = 4

You need 4 dozen eggs.
SIZIF [17.4K]2 years ago
4 0

Answer:

4 dozen.

Step-by-step explanation:

Total number of eggs required =2*24 = 48

One dozen = 12 so the answer is 4 dozen eggs.

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factory A produces 4.6 * 10^8 bolts a year and factory B produces 6.3 * 10^8 bolts a year. what is the total number of bolts pro
VLD [36.1K]

Answer:

Step-by-step explanation:

total bolts

=4.6*10^8+6.3*10^8\\=(4.6+6.3)*10^8\\=10.9*10^8

4 0
2 years ago
Which shows the pre-image of triangle X’Y’Z’ before the figure is rotated 90° about the origin
Xelga [282]

Answer:

From the figure shown the coordinates of W'X'Y'Z' are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5)

The coordinates of the pre-image that yeilded W'X'Y'Z' according to the rule (-x, -y) can be obtained by changing the signs of the coordinates of W'X'Y'Z'.

Thus, the coordinates of the pre-image that yeilded W'X'Y'Z' are W(-2, -3), X(-6, -3), Y(-6, -4) and Z(-3, -5).

Therefore, the correct graph is graph c.

(Need to update complete question)

3 0
2 years ago
Read 2 more answers
How many radians is 90 degrees
timurjin [86]
I believe it would be about 1.57
5 0
2 years ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
1 year ago
An=−2+32(n−1)<br><br> What is the 21st term of the sequence?
OLEGan [10]

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

5 0
2 years ago
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