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3 years ago

Three angles (degrees) in a kite are 105, 105 and 115. What is the missing angle total?

Mathematics

2 answers:

GuDViN [60]3 years ago

5 0

Answer:

35 degrees

Step-by-step explanation:

we add all answers 105+105+115 and get 325 so we subtract 360 from 325 bc 360 is the maximum angle a quadrilateral can be.

neonofarm [45]3 years ago

4 0

Answer:

let missing no.be x

x+105+105+115=360(sum of angle of kite is 360)

x=360-325=35

therefore missing Angle is 35°

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Principal $4,700 Interest rate 4% time 10 months, what is the simple interest and maturity level?

Naddik [55]

The simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.

<h3>What is simple interest?</h3>

Simple interest refers to the interest calculated only on the principal.

With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.

<h3>Data and Calculations:</h3>

Principal = $4,700

Interest rate = 4%

Period = 10 months

Simple interest = $156.67 ($4,700 x 4% x 10/12)

Thus, the simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.

Learn more about simple interests at brainly.com/question/

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3 years ago

A spherical party balloon is being inflated with helium pumped in at a rate of 10 cubic feet per minute. How fast is the radius

Anastaziya [24]

Answer:

The radius is growing at a rate of $\frac{dr}{dt} = \frac{10}{4 \pi} = 0.795$ ft per minute.

Step-by-step explanation:

From the information given we know that

$\frac{dV}{dt} = 10$

And we know as well that .

$V = \frac{4}{3} \pi r^3$

Since everything is changing with the time we can compute the implicit derivative and we would get that

$\frac{dV}{dt} = 10 = 4\pi r^2 \frac{dr}{dt}$

We are told that we are looking for how fast is the radius growing at the instant when the radius has reached 1 ft, therefore $r = 1.$

And when we solve for $\frac{dr}{dt} = \frac{10}{4 \pi} = 0.795$

3 0

3 years ago

Determine the axis of symmetry for the function f(x) = −4(x + 7)2 − 3.

spayn [35]

Answer:

x = -7

Step-by-step explanation:

The vertex form of this equation tells us it is a downward-opening parabola with its vertex at (-7, -3). The line of symmetry is the vertical line through the vertex: x = -7.

___

Vertex form is ...

y = a(x -h) +k

where a is the vertical expansion factor, and (h, k) is the vertex. When a < 0, the parabola opens downward. When a > 0, it opens upward. (When a=0, the "parabola" is a horizontal line at y=k.)