All categories

2 years ago

Geometry question confused on how to solve this answer

Mathematics

1 answer:

AleksAgata [21]2 years ago

5 0

The acute angles of a right triangle are complementary, so $\boxed{m\angle F=34^{\circ}}$ .

Using right-angle trigonometry, we know that

$\cos 56^{\circ}=\frac{26}{DF}\\\\DF=\frac{26}{\cos 56^{\circ}}\\\\\boxed{DF \approx 46.5}$

$\tan 56^{\circ}=\frac{FE}{26}\\\\FE=26 \tan 56^{\circ}\\\\\boxed{FE \approx 38.5}$

You might be interested in

If 400 kids went to the amusement park and only 120 came back how many got lost?

LekaFEV [45]

Answer:

280

Step-by-step explanation:

400 - 120=280

280= number of children lost

6 0

2 years ago

Read 2 more answers

rice that costs $480 which is for 8 members is used 20 days. What is the cost of rice which is required for 12 members for 15 da

Ber [7]

Answer:

$540

Step-by-step explanation:

1 member 1 day :$480/80/20 = $3

12 members 15 day = $3 * 12 * 15 = $540

Hope this helps!!!

5 0

3 years ago

If 8(a + b) = 48, what is the value of a + b?

Cloud [144]

Answer:

$8(a + b) = 48 \\ \\ a + b = \frac{48}{8} \\ \\ a + b = 6$

I hope I helped you^_^

5 0

3 years ago

1) Billy walks 15 miles every day to soccer practice, and catches a ride home from his grandma. Billy had 5 practices last week.

nignag [31]

1 ) Billy walks 15 miles every day to soccer practice and he had 5 practices last week.

We know that, 1 mile = 1760 yards

So, 15 miles = (15× 1760) yards = 26400 yards

Thus the total distance walked in 5 practices will be: $(26400*5)yards = 132000 yards$

2) Mark's current age is $t$ years

So, his age was in 10 years ago $=(t-10)years$

Given that, his current age is 3 times his age 10 years ago.

So, the equation to represent this situation will be : $t= 3(t-10)$

3 0

3 years ago

Pls do it for me thank you so much

Bond [772]

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7 ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Download docx

5 0

3 years ago