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ElenaW [278]
3 years ago
9

Find the distance from A to C across the gorge illustrated in the figure.

Mathematics
2 answers:
dolphi86 [110]3 years ago
4 0

Answer:

the correct answer is 112.03

goblinko [34]3 years ago
4 0

Step-by-step explanation:

tan B = AC/BC

tan 35°= AC / 160

0.700 = AC /160

=> AC = 160 × 0.700

AC = 112.00

so, the distance from A to C is 112.00 feet

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Carlos is half as old as Andre Andre is 15 years older than Carlos how old is Andre
Leokris [45]

Answer:

30 years old

Step-by-step explanation:

Let the two ages be A and C.

Then C = (1/2)A, and A = C + 15.

Substitute C + 15 for A in C = (1/2)A:

C = (1/2)(C + 15), or   2C = C + 15.

Then C = 15, and A = C + 15 becomes  A = 15 + 15, or  A = 30.

7 0
4 years ago
Read 2 more answers
To help vegetables stay fresh longer, Liam’s family maintains storage near their home. The total volume of the root cellar is 95
Helga [31]

To help vegetables stay fresh longer, Volume of storage of 951 cubic feet is equal to 26.929 m^3

<u>Solution:</u>

Given that to help vegetables stay fresh longer, Liam’s family maintains storage.

Total volume of root cellar that is storage is 951 cubic feet.

Also given that 1 foot = 0.3048 meters

need to find the volume of storage in cubic meter that is m^3

\begin{array}{l}{\text { As } 1 \text { foot }=0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {=1 \mathrm{foot}^{3}=0.0283 \mathrm{m}^{3}} \\\\ {\Rightarrow 1 \text { cubic feet }=0.0283 \mathrm{m}^{3}}\end{array}

\text { So } 951 \text { cubic feet }=951 \times 0.0283 \mathrm{m}^{3}=26.929 \mathrm{m}^{3}

Hence volume of storage of 951 cubic feet is equal to 26.929 m^3

7 0
3 years ago
Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)
Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)=\frac{1}{sin(-112^{\circ})}

                  =\frac{1}{-sin(112^{\circ})}

                 =\frac{1}{-sin(180^{\circ}-68^{\circ})}     (since 112=180-68)

                 =\frac{1}{-sin(68^{\circ})}              (since sin(180-x)=sinx)

                 =\frac{-1}{sin(68^{\circ})}               (since \frac{a}{-b}= \frac{-a}{b})

                 =-cosec(68°)

4 0
4 years ago
Read 2 more answers
The course grade in a statistics class is the average of the scores on five examinations. Suppose that a student's scores on the
nadya68 [22]

Answer:

84 is the highest possible course average

Step-by-step explanation:

Total number of examinations = 5

Average = sum of scores in each examination/total number of examinations

Let the score for the last examination be x.

Average = (66+78+94+83+x)/5 = y

5y = 321+x

x = 5y -321

If y = 6, x = 5×6 -321 =-291.the student cannot score -291

If y = 80, x = 5×80 -321 =79.he can still score higher

If If y = 84, x = 5×84 -321 =99.This would be the highest possible course average after the last examination.

If y= 100

The average cannot be 100 as student cannot score 179(maximum score is 100)

8 0
3 years ago
Evaluate the expression when C=1/2 and D=1/12<br> 3(1/4+C²)+2D<br> Please hurry!
Mkey [24]
Answer is 1 1/12
3(1/4 + 1/2^2)+ (2x1/12)
3/4+1/4+2/12 (you get to this part by distributing 3 throughout the parentheses)
9/12+3/12+2/12= 1 1/12 hope this helps
4 0
3 years ago
Read 2 more answers
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