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3 years ago

Work out the lengths of sides a and b. Give your answers to 1 decimal place. 8 cm 5 cm

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer:

Step-by-step explanation:

a = $\sqrt{8^{2} + 5^{2}}$ = $\sqrt{64+25}$ = $\sqrt{99}$ = 9.9

b = $\sqrt{17^{2} - 12^{2}}$ = $\sqrt{289-144}$ = $\sqrt{145}$ = 12

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Bella works at a shoe store. In addition to a fixed salary, she earns a commission for each pair of shoes that she sells. The ta

xxTIMURxx [149]

D. It Is The Most Fitting Answer. The Other 3 Equal More Than Needed.

7 0

3 years ago

Find the probability p(e or f) if e and f are mutually exclusive, p(e)equals 0.25, and p(f)equals 0.51.

Masteriza [31]

The definition of two events being mutually exclusive (or disjoint) only means that it is not possible for the two events to occur together. Given two events, E and F, they are mutually exclusive and also mean independent.

In this case, since events E and F are mutually exclusive, therefore the probability that either E or F will occur will simply be the sum of two events.

P (E or F) = P (E) + P (F)

P (E or F) = 0.25 + 0.51

P (E or F) = 0.76

Therefore this means that there is a 76% probability that either E or F will occur.

8 0

3 years ago

Solving Inequalities Using Addition or Sub

wariber [46]

I believe it’s x < 9

7 0

3 years ago

Review the table.

Lynna [10]

Answer:

The function that models the scenario is given as follows;

$P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

$A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}$

$B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

$C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}$

$D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}$

solving using the given values of the variable, t, we have;

P t A B ${}$ C D

10 ${}$ 0 ${}$ 10 ${}$ 10 ${}$ 10 ${}$ 10

16 ${}$ 1 ${}$ 16.07021 16.27604 16.34583 ${}$ 16.38095

26 ${}$ 2 ${}$ 25.43466 26.2797 26.574 26.72363

42 ${}$ 3 ${}$ 39.33834 41.89929 42.82868 43.30901

66 ${}$ 4 ${}$ 58.85058 65.51853 68.09014 69.45316

100 ${}$ 5 ${}$ 84.17395 99.55866 106.0177 109.5721

Therefore, by comparison, the function represented by $B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$ most accurately models the scenario.

7 0

3 years ago

Read 2 more answers

12. A carpenter made two tables. The first table is 4 feet

Arte-miy333 [17]

Answer:

a. True

b. True

c. False

d. False

Step-by-step explanation:

<u>First Table</u>

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

<u>Second Table</u>

The second table is half as long as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one fourth the area of the first table.

Area of Second Table = $\frac{1}{4}$ X Area of first table

5w= $\frac{1}{4}$ X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second table is 2 feet.

(b) The area of the second table is 10 square feet.

6 0

2 years ago