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2 years ago

This is a triangle:

Mathematics

2 answers:

mario62 [17]2 years ago

7 0

Answer:

v = 13

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

54 + 61 + 5v = 180

Step 2: Solve for v

Combine like terms: 115 + 5v = 180
Subtract 115 on both sides: 5v = 65
Divide 5 on both sides: v = 13

And we have our final answer!

expeople1 [14]2 years ago

7 0

Answer:

13°

Step-by-step explanation:

Neccessary information:

Total internal angles in a triangle is equal to 180°.

Method:

The first step is to add the given values of 54 and 61, this gives you 115. This is because the total internal angle in a triangle is 180°. This means that in order to work out the value of v we must add the given values to find how much of the 180° is already known.

The next step is to find the value of 5v. This can be done by subtracting 115 (Total of the values given) from 180, this gives you 65(5v). This is because we are finding how much of the 180° total is not known.

The final step is to divide the value of 5v which is 65 by 5, this gives you 13. This is because 65 is equal to 5v so to work out the value of v you would need to divide by 5.

Step by step:

1) Add 54 and 61.

$54+61=115$

2) Subtract 115 from 180.

$180-115=65$

3) Divide 65 by 5.

$65/5=13$

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A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening

lara [203]

Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

$y=a(x-h)^2+k$

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

$0=a(21-0)^2+84$ and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

$a=-\frac{84}{441}=-\frac{4}{21}$ Good, a is negative. Your equation is, then:

$y=-\frac{4}{21}x^2+84$

3 0

2 years ago

Read 2 more answers

If the property tax on a 300,000 Is 2,220 what is the tax on a 100,000 home

ikadub [295]

Answer:

SO first you have to divise 300,000 by 2,220 and then multiply it by 100,000.To get 13636363.6364.SO the tax on a 100k home would be about 13636363.6364

Step-by-step explanation:

6 0

2 years ago

You will be brainliest please list correct answer and the mistake he made

anzhelika [568]

Hey There!!

The answer is below!!

Step-by-step explanation:

We move all terms to the left:

$-6n+22-(-4n+14-10n+22)=0$

We add all the numbers together, and all the variables

$-6n-(-14n+36)+22=0$

We get rid of parentheses

$-6n+14n-36+22=0$

After that, We add all the numbers together, and all the variables

$8n-14=0$

Then, We move all terms containing n to the left, all other terms to the right

$8n=14$

$n=14/8$

$n=1+3/4$

I don't know this is $100$ % right....

$So.....GoodLuck!!$

# $Be$ $Bold$

# $Always$ $Brainly!$

$_{Loserbrazts}$

5 0

2 years ago

The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$