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3 years ago

Write each mixed number as an improper fraction and as a decimal then tell whether the decimal is terminating or repeating.

Mathematics

1 answer:

Sphinxa [80]3 years ago

5 0

7) 29/9; repeating

8) 301/20; terminating

9) -101/20; terminating

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Using the unit circle find the exact value. CSC -30º =

AlexFokin [52]

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = $\frac{1}{sinx}$ and the exact value sin30° = $\frac{1}{2}$

sin(- 30)° = - sin30° = - $\frac{1}{2}$ , thus

csc (- 30)° = $\frac{1}{-\frac{1}{2} }$ = - 2

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3 years ago

Thor’s hammer can cover 4.95 km in a second. How many kilometers will it cover in 4.95 seconds

valina [46]

Answer:

24.5025

Step-by-step explanation:

4.95 x 4.95=24.5025

Hope I helped!

6 0

3 years ago

Read 2 more answers

In the diagram below, we have ST parallel to QR. angle P= 40 degrees, and angle Q= 35 degrees. Find the measure of angles STR in

Drupady [299]

Answer:

$m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ$

Step-by-step explanation:

<u>Similar Triangles</u>

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

$m\angle P + m\angle Q + m\angle R = 180^\circ$

Substituting the known values:

$40^\circ + 35^\circ + m\angle R = 180^\circ$

Solving for R:

$m\angle R = 180^\circ - 40^\circ - 35^\circ$

$m\angle R = 105^\circ$

Angles S and Q are congruent, thus

$m\angle S = 35^\circ$

Angles T and R are congruent, thus

$m\angle T = 105^\circ$

Summarizing:

$\mathbf{m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ}$

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3 years ago

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If $7,000 is placed in an account with an annual interest rate of 5.5%, how long will it take the amount to triple if the intere

butalik [34]

A= P(1 + r/n) ^nt
21000=7000(1+0.055/2)^1t

t = 20.52 years

4 0

3 years ago

What are the excluded values? m+5/mn+3m

In-s [12.5K]

values that are <u>excluded from the domain</u> of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined. That happens when the denominator is zero out, let's do so

$\bf mn+3m=0\implies m(n+3)=0\implies \begin{cases} m=0\\ n=-3 \end{cases}$

so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.

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3 years ago