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3 years ago

Help please! Under 5 mins

Mathematics

1 answer:

Inga [223]3 years ago

8 0

Answer:

2.3

Step-by-step explanation:

Using SOH CAH TOA, we can label CB as the alternate side seeing as it's opposite to the known angle 50 degrees. We know AB is the hypotenuse since it's the longest side. Therefore CA must be the alternate side.

Since we want to know BC, and we know information about AB, we need to use the use of the hypotenuse and the opposite. In SOH CAH TOA, SOH uses both of these.

Using S O H, we understand that sin(50) * 3 = CB

Therefore CB = 2.3 to 1 decimal place.

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What is equivalent to 9 3/4?

Nata [24]

Step-by-step explanation:

We need to say that $9^{3/4}$ is equivalent to what.

We know that, (3)² = 9

So,

$9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}$

We can write $3^{3/2} =3\times 3^{1/2}$

And $3^{1/2}=\sqrt{3}$

So,

$3\times 3^{1/2}=3\sqrt{3}$

So, $9^{3/4}$ is equivalent to $3\sqrt{3}$ .

Hence, this is the required solution.

6 0

2 years ago

Hector has a part-time job at a garage. He gets a paycheck of $820 every for

ElenaW [278]

Answer:

A. Hector pays $ 123 in taxes each paycheck.

B. Hector should expect to receive $615 or 75% of his regular pay.

C. Hector will be paid $ 902 when he receives his next 4- week paycheck.

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes: ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

Weeks Paycheck

4 820

3 x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0

2 years ago

Please help it's mathswatch so need reason I will mark u brainliests help please

Orlov [11]

Answer:

angle BAD = 180 -2x

angle BCD = x given

angle BCD is an inscribed angle

angle DOB = 2 (angle BCD)

angle BAD = 180 -angle DOB 2 tangent theorem

5 0

2 years ago

there are 103 students eating lunch in the cafeteria. each table seats 4 students. all the tables are full except for 1 table. h

natta225 [31]

4*25= 100. There are 26 tables. At each of the 25 tables 4 people are sitting. Which means 100 people are sitting in complete tables of 4 people. That means that at the 26th table 3 people are sitting. 103-100= 3. Hope that helps. :)

6 0

3 years ago

Read 2 more answers

Please help. will mark brainliest. What is the value of x? Show all of your work.

AveGali [126]

Answer:

9 cm

Step-by-step explanation:

$\sqrt{117} ^{2} - 6^{2} = x^{2}$