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11 days ago

Find the area of triangle ABC. A = 29.17°, b = 13.1 m, c = 8.7 m

Mathematics

1 answer:

AnnZ [3.8K]11 days ago

8 0

Response:

To determine this, use 3.

Step-by-step analysis:

Area = 1/2 * base * height * sin(angle)

= 1/2 * (13.1) * (8.7) * sin(29.17)

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Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segm

Zina [3914]

Solution:

Refer to the detailed explanation

Step-by-step process:

1 step: $\overline{GI}\cong \overline {JL}$ - provided

2 step: $\overline{GI}\cong \overline{GH}+\overline{HI}$ - Segments Addition Postulate

3 step: $\overline{GH}+\overline{HI}\cong \overline {JL}$ - Substitution Property

4 step: $\overline {JL}\cong \overline {JK}+\overline {KL}$ - Segments Addition Postulate

5 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL}$ - Substitution Property

6 step: $\overline{GH}\cong \overline {KL}$ - provided

7 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH}$ - Property of Substitution Equality

8 step: $\overline{HI}\cong \overline {JK}$ - Equality Subtraction Property

3 0

6 days ago

Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita.

Leona [4166]

Answer:

17/4 kg

Step-by-step explanation:

Sunita initially has = 10kg of grapes

Amount distributed:

To Reena =3 1/2 kg

7/2 kg

To Anita =2 1/4 kg

9/4 kg

Total grapes given away

7/2+9/4

(14+9)/4

23/4 kg

The remaining grapes after distribution = Total grapes first minus grapes given away

10/1 - 23/4

(40-23)/4

= 17/4 or 4 1/4

Thus, she retains 17/4 kg of grapes

5 0

4 days ago

Withdrawing $10 every week from an outstanding balance of $400

lawyer [4008]

-10w - 400 = o

w= weeks
o = remaining balance

8 0

6 days ago

Read 2 more answers

Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

Zina [3914]

Answer:

The price per kilogram of salami amounts to = $9.1

Step-by-step explanation:

Given:

Hailey spent $13 on $1\frac{3}{7}$ kg of sliced salami.

We need to determine the cost per kg of the salami.

Solution:

We will use the unitary method to find the cost for one kilogram of salami.

If $1\frac{3}{7}$ kg of salami costs $13

Then the cost for 1 kg of salami in dollars = $13\div 1\frac{3}{7}$

When dividing mixed numbers, we convert them to fractions.

⇒ $13\div \frac{(7\times1)+3}{7}$

⇒ $13\div \frac{10}{7}$

To divide fractions, we take the reciprocal of the divisor and multiply.

⇒ $13\times \frac{7}{10}$

⇒ $\frac{13\times7}{10}$

⇒ $\frac{91}{10}$

⇒ $9.1$

Hence, the cost per kilogram of salami is = $9.1

3 0

11 days ago

Read 2 more answers

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is viable solutio

tester [3916]

Assume that the number of overdue days for the library book is X, and the total fine is Y.

Liability charges a fee of $0.30 per day for lateness,

Thus, for one day late, the fee equals: 1 * $0.30

For X days late, the fee becomes: X * $0.30.

The total fee Y corresponds to being X days late, so: Y = 0.30 * X.

Next, we'll verify which possible answers satisfy the equation Y = 0.30 * X.

Options one (-3, -0.9) and two (-2.5, -0.75) are invalid since the number of late days cannot be negative, and these give negative values for X.

Option three (4.5, 1.35) is also incorrect because the library charges per whole day; 4.5 days is not an integer, so they would charge 4 or 5 days, not 4.5.

Option four (8, 2.40) matches the equation perfectly:

Y = 0.30 * X

2.40 = 0.30 * 8

2.40 = 2.40.

Therefore, the only correct answer is option four (8, 2.40).

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17 days ago