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2 years ago

In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°

Mathematics

2 answers:

ohaa [14]2 years ago

6 0

C because you add the angles together

Novay_Z [31]2 years ago

5 0

Answer:

99 degrees

Step-by-step explanation:

measure angle RST= measure angle RSU+ measure angle UST

measure angle RST=81+18

measure angle RST=99 degrees

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A ladder is placed 5 feet away from a house. The ladder comes up to 12 feet on the side of the house. How long is the ladder? Pl

LuckyWell [14K]

Answer: A. 13ft

Explanation:

a^2 + b^2 = c^2
a = 5, b = 12

5^2 = 25, 12^2 = 144

25 + 144 = 169

Square root of 169 = 13

3 0

2 years ago

Read 2 more answers

Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

2 years ago

Which of the following are roots of the polynomial function?

Bingel [31]

Answer:

1 and -5

Step-by-step explanation:

$~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5$

6 0

1 year ago

A drawing of the Eiffel Tower in Paris used the scale of 2 cm = 5 m. If the height of the tower in the drawing measures 120.4 cm

Delicious77 [7]

301 meters

Since 2cm=5m you would have to divide 120.4 by 2 to get 60.2 and times it by 5 to get 301

3 0

1 year ago

Read 2 more answers

Mr.Hollins determines that he gives 800 dollers each month if he gives away 16percent of his budget how much is his overall budg

kirill115 [55]

800 x 100 = 80000

80000 divided by 16 = 5000

5000 - 800 = 4200

His overall budget is $4200

8 0

2 years ago