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3 years ago

Find the measure of the indicated angle to the nearest degree

Mathematics

1 answer:

Gre4nikov [31]3 years ago

7 0

Answer:

The answer is option C

Step-by-step explanation:

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 37

The hypotenuse is 41

So we have

sin ? = 37/41

? = sin-¹ 37/41

? = 64.4805

? = 64° to the nearest degree

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6.Tanya bought a house for $270,000. She paid

nignag [31]

Answer:

75 X 3000 = 225000

225000 + 50000 = 275000

275000 - 270000 = 5000

$5000 more

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3 years ago

Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it

dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024 Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24 You should always round at the last step.

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3 years ago

An airplane's change in altitude before landing in shown in the table. What equation represents this change in altitude

Ray Of Light [21]

Answer

-4,000

Step-by-step explanation:

Just subtract 35,000 and 31,000 or 27,000 and 21,000 and get 4,000. Since the altitude is going down, it'll be negative.

3 0

3 years ago

Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to

hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

$A = \pi r^{2}$

so for choice (A) area is given as $4.375 \times 10^{7}$ . So plug this in A place in formula and then solve for radius r

$4.375 \times 10^{7} = \pi r^{2}$

$\frac{4.375 \times 10^{7}}{\pi} = \frac{\pi r^{2}}{\pi}$

$1.393 \times 10^{7} } = r^{2}$

$\sqrt{1.393 \times 10^{7}} = \sqrt{r^{2}}$

3731.76 = r

So screw A will have
$diameter = 2 \times r = 2 \times 3731.76 = 7463.52$ inches

Similarly for choice (E) area is $1.428 \times 10^{1} = 14.28$
so again plug in formula

$A = \pi r^{2}$

$14.28 = \pi r^{2}$

$\frac{14.28}{\pi} = \frac{\pi r^{2}}{\pi}$

$4.5477 = r^{2}$

$\sqrt{4.5477} = \sqrt{r^{2}}$

2.13201 = r

So screw E will have
$diameter = 2 \times r = 2 \times 2.13201 = 4.26402$ inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: $1\frac{7}{8} = \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875$ inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer