a counter top is in the shape of a trapizoid . the lengths of the base is 70 1/2 and 65 1/2 inches long. the area of the countertop is 1,224 square inches . write and solve an equation to find the height of the countertop.
Answers
Area of a trapezoid= [(a+b)÷2]h
1,224 in²= [(65.5 in+70.5in)÷2]h
1,224in²= (136÷2)h
1,224 in²= 68h
(1,224 in²÷68)= 68h÷68 (elimination)
h= 18 inches
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N=480×10^9Write N as a product of powers of its prime factors.
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Answer:
the inverse is :10^x/2
Step-by-step explanation:
f(x)= log2x.
f^-1(x)=10^x/2
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to even begin to factor..you must factor out a 3, to simplify your answer.
3(12
Now, you can factor.
So..to find the answer...
12*-10=-120x
and
you would use -7x
What multiplies to -120..but adds to -7?
-15*8=-120
and
-15+8=-7
To find the answer, plug in what you know..
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Thus, your answer.
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so , mass by grams = 15.6 *1000 = 15600 grams
Answers
Answer:
9
Step-by-step explanation:
Draw a Venn diagram.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ \ / / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.
The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.
Now we begin to fill it in.
5 people both play and sing, so we place a 5 in the overlap section.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ \ 5 / / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.
12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.
Place the numbers 15 and 7 in the correct places.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ 7 \ 5 / 15 / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
Now add all the people already placed.
15 + 5 + 7 = 27
Subtract that number form the total.
36 - 27 = 9
Place the 9 in the correct area.
+------------------------------------------------------------+
| N 9 |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ 7 \ 5 / 15 / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
Answer: 9
A more normal looking Venn diagram looks like this:
a. ∠QTS
b. ∠RTS
c. ∠PTN
d. ∠QT
2. ∠QTN and _____ are supplementary.
a. ∠QTS
b. ∠QTP
c. ∠RTS
d. ∠PTR
3. If ∠PTQ measures 29°, then PTN measures _____.
a. 51º
b. 45º
c. 61º
d. 71º
4. If ∠NTR measures 148°, then ∠RTS measures _____.
a. 12º
b. 32º
c. 22º
d. 42º
5. ∠PTN is adjacent to _____.
a. ∠QTR
b. ∠PTS
c. ∠RTS
d. ∠NTS
Answers
1. ∠QTR and RTS are complementary.
2. ∠QTN and QTS are supplementary.
3. If ∠PTQ measures 29°, then PTN measures 61.
4. If ∠NTR measures 148°, then ∠RTS measures 148.
5. ∠PTN is adjacent to PTS.
Answer: 4. Is actually 32 degrees. I believe the answer listed was a typo.
Answers
Answer: C
Step-by-step explanation:
Answer:c
Step-by-step explanation: