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Lemur [1.5K]
3 years ago
15

Select the correct answer. What is the area of the cross section that is parallel to side PQRS in this rectangular box? A. 12 sq

uare units B. 16 square units C. 30 square units D. 40 square units
Mathematics
1 answer:
qaws [65]3 years ago
5 0

Answer:

12 square units.

Step-by-step explanation:

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If PQR ≈ STU complete each part
Andreyy89

Answer:

3 = 21 degrees

5 = 21 degrees

1 = 60 degrees

2 = 39 degrees

4 = 39 degrees

Step-by-step explanation:

This problem is really quite easy once you break it down. I assume you want an answer based on the attachment. If a triangle is Isosceles, then its bottom two angles are congruent, so angle 3 = angle 5.

Then, 138 degrees + x * 2 = 180 degrees.

x * 2 = 42 degrees

x = 21 degrees

So 3 and 5 are each 21 degrees

If a triangle is equilateral, then it is also equiangular, meaning each of its angles are equal to each other, and they are each 60 degrees. Then, we know angle 1 is 60 degrees. For 2 and 4, we want to take the measure of the combination of 2 and 3 (the full 60 degrees), and subtract it by the measure of angle 3 to get the measure of angle 2. 60 - 21 = 39 degrees. Angle 2 is 39 degrees. The same can be done with angle 5 and 4 because they are the same measurements.

3 0
3 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2,6, 18,... Find the 8th term.
Andrei [34K]

Answer:

4,374

Explanation:

Given the sequence: 2, 6, 18, ...

If we study the pattern we observe that:

\begin{gathered} \frac{6}{2}=3 \\ \frac{18}{6}=3 \end{gathered}

This is a geometric sequence with:

• The first term, a=2

,

• Common Ratio, r=3

The nth term of a geometric sequence is obtained using the formula:

U_n=ar^{n-1}

Therefore, the 8th term will be:

\begin{gathered} U_8=2\times3^{8-1} \\ =2\times3^7 \\ =4374 \end{gathered}

The 8th term of the sequence is 4,374.

4 0
2 years ago
A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper? A. $0.17 B. $1.70 C. $0.07 D
max2010maxim [7]
The answer is A. $0.17 . 

3 0
3 years ago
A rectangular box has the following dimensions L= 6 cm W= 5 cm H= 2 cm. What is the volume of the box? *
Oksanka [162]

Answer:

Volume=LXWXH

=(6cmx5cm)x2cm

=30cm²x2cm

60cm²

Step-by-step explanation:

8 0
3 years ago
Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. How many more centimeters does Sarah
Novay_Z [31]

5 feet = 60 inches

Sarah needs to grow 6 more centimeters.

5 0
3 years ago
Read 2 more answers
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