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tiny-mole [99]
2 years ago
9

In ΔVWX, v = 21 cm, w = 64 cm and ∠X=23°. Find the length of x, to the nearest centimeter.

Mathematics
2 answers:
just olya [345]2 years ago
7 0

Answer:

its b just toook the test

Step-by-step explanation:

Alla [95]2 years ago
6 0

Answer:

45 (in centimeters)

Step-by-step explanation:

In ΔVWX we have to find the length of the third side.

When the length of two sides of a triangle and the included angle is given

we can find the length of third side by applying cosine law.

According to cosine law, in a ΔVWX

x^{2} =v^{2}+w^{2} -2vwcosX

                =21^{2}+64^{2}-(2\times21\times64\times cos23)

                =2062.683 (cm)^{2}

              x=45cm (approximating it to nearest integer)

         

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A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
2 years ago
True or False? A circle could be circumscribed about the quadrilateral below.
SVEN [57.7K]

Answer:

<em>The correct answer is:   False</em>

Step-by-step explanation:

<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.

Here,  \angle B+\angle D= 110\°+90\° = 180\°

but,  \angle A+\angle C= 70\°+90\°= 160\°

So, a circle can't be circumscribed about the given quadrilateral.

7 0
2 years ago
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Emily invests $5,000 in an
Gemiola [76]

Answer:

50 years

Step-by-step explanation:

use the simple interest formula :

PRT/100

P is the principle (5000)

R is the rate of interest (4)

T is the time taken (x- unknown)

the amount at the end is double the amount invested  = 5000*2 = 10000

(5000*4 * x )/100 = 10000

20000x/100=10000

20000x = 100*10000

20000x = 1 000 000

x= 1 000 000/ 20 000

x = 50

it will take<u> 50 years </u>

7 0
2 years ago
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2. The ground below your feet moves at the rate at which
garik1379 [7]
I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!
5 0
2 years ago
The daily consumption of milk in a house is 3.25 litres. How much milk will be consumed in 30 days?
leonid [27]

Answer:

Milk consumed in 30 days = (30 days)(3.25 litres/day) = 97.5 litres

Step-by-step explanation:

You are given a rate at which the milk is consumed (3.25 litres per 1 day). This is just multiplied by the 30 days to get your answer.

5 0
2 years ago
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