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PSYCHO15rus [73]
3 years ago
6

Use the information to answer the questions.

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)

Part 2) b^2=a^2+c^2-2(a)(c)cos(B)  

Part 3) b=11.6\ in

Step-by-step explanation:

we have

In the triangle ABC

a=11\ in\\c=9\ in\\B=70^o

Part 1) Which information about the triangle is given?

In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)

see the attached figure to better understand the problem

Part 2) Which formula can you use ti find b?

I can use the law of cosines

b^2=a^2+c^2-2(a)(c)cos(B)  

we have

a=11\ in\\c=9\ in\\B=70^o

substitute the given values

b^2=11^2+9^2-2(11)(9)cos(70^o)

b^2=202-67.72  

b=11.59\ in

Part 3) What is b, rounded to the nearest tenth?

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than 5 (this is called rounding down)  

c) But increase it by  1 if the next digit is  5 or more (this is called rounding up)

In this problem we have

11.59\ in

We want to keep the digit 5

The next digit is 9 which is 5 or more, so increase the "5" by 1 to "6"

therefore

b=11.6\ in

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The square root of what number is 12 less than half of that number
andrey2020 [161]
Let x be this number:
√x = 12
let's square both sides:

(√x)² = (12)²

x = 144


4 0
3 years ago
One number is five more than another, and their sum is three less than three times the smaller. Find the numbers.
Lunna [17]

Answer:

<u>The smaller number is 8 and the bigger number is 13</u>

<u>The correct equation form is B. 2x + 5 = 3x - 3</u>

Step-by-step explanation:

Smaller number = x

Bigger number = x + 5

Sum of the numbers = x + x + 5 = 3 - 3x

Let's solve the equation for the sum:

x + x + 5 = 3x - 3

2x + 5 = 3x - 3

2x - 3x = - 3 - 5 (Subtracting 5 at both sides)

-x = - 8

x = 8 (Multiplying by - 1 at both sides)

<u>The smaller number is 8 and the bigger number is 13</u>

<u>The correct answer is B. 2x + 5 = 3x - 3</u>

4 0
3 years ago
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 16 walls in 40 hours 3 walls in
soldi70 [24.7K]

The proportion that could be used to solve for the variable is \frac{16}{40}=\frac{3}{h} ; h = 7.5 ⇒ answer b

Step-by-step explanation:

A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality

  • y = k x is the equation of the proportional relationship
  • We can write the proportional relationship in the form \frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k

The number of walls and the number of hours are increased or decreased together

∴ The number of walls and the number of hours are proportion

∵ 16 walls in 40 hours

∵ 3 walls in h hours

- By using the second rule above

∴ \frac{16}{40}=\frac{3}{h}

The proportion that could be used to solve for the variable is  \frac{16}{40}=\frac{3}{h}

Let us solve it to find h

∵  \frac{16}{40}=\frac{3}{h}

- By using cross multiplication

∴ 16 × h = 3 × 40

∴ 16 h = 120

- Divide both sides by 16

∴ h = 7.5

The value of h is 7.5 hours

Learn more:

You can learn more about the proportion in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
What is the unit value of 6 in 216
mylen [45]
The 6 in 216 is in the ones place.
6 0
3 years ago
Read 2 more answers
Q19. When a resistor is placed across 230M supply (de) the
Vera_Pavlovna [14]

The value of the resistor that must be connected in parallel is 57.47 ohms

<h3>How to determine the resistor connected across the 230 V supply</h3>
  • Voltage (V) = 230 V
  • Current (I) = 12 A
  • Resistor 1 (R₁) =?

V = IR

230 = 12 × R₁

Divide both sides by 12

R₁ = 230 / 12

R₁ = 19.17 ohms

<h3>How to determine the total resistance</h3>
  • Voltage (V) = 230 V
  • Current (I) = 16 A
  • Total resistance (Rₜ) =?

V = IR

230 = 16 × Rₜ

Divide both sides by 12

Rₜ = 230 / 16

Rₜ = 14.375 ohms

<h3>How to determine the resistor connected in paralle</h3>
  • Resistor 1 (R₁) = 19.17 ohms
  • Total resistance (Rₜ) = 14.375 ohms
  • Resistor 2 (R₂) = ?

1/Rₜ = 1/R₁ + 1/R₂

Collect like terms

1/R₂ = 1/Rₜ - 1/R₁

R₂ = (Rₜ × R₁) / (R₁ - Rₜ)

R₂ = (14.375 × 19.17) / (19.17 - 14.375)

R₂ = 57.47 ohms

Learn more about Ohm's law:

brainly.com/question/796939

#SPJ1

6 0
1 year ago
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