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uysha [10]
3 years ago
11

Find the measure of each acute angle. 3xº 2x 19 3.2 and 20

Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0

Right angled triangle ✅

90° + 3x + 2x = 180° {sum}

5x = 90

x = 90/5 = 18

x = 18

acute angle : 3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

Dovator [93]3 years ago
4 0
Both of those angles are 45

Look up 90 45 45 triangle:)
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The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.
nalin [4]

Answer:

Part 1) The area is A=4,069.44\ in^{2}

Part 2) The circumference is C=226.08\ in

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

A=\pi r^{2}

we have

r=72/2=36\ in ------> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(36)^{2}

A=4,069.44\ in^{2}

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

C=\pi D

we have

D=72\ in

\pi =3.14

substitute

C=(3.14)(72)

C=226.08\ in

5 0
3 years ago
Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-
oee [108]

Step-by-step explanation:

<h3> a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )</h3>

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

<h3> b) 400 ÷ { 40 – (-2) -3 – ( -1)} </h3>

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

<h3>c) 40 x -23 + 40 x -17 </h3>

(40 x 23) + (40 x -17)

920 + (-680)

= 240

<h3>d) 1673 x 99 – (-1673) </h3>

(1673 x 99) + 1673

1673 x 100

= 167300

<h3>e) 490 x 98 = 48020</h3>

Hope this helps ^-^

7 0
3 years ago
HELPPP IF YOU CAN DO THISSSS (BRAINLIST) thank youuu
grigory [225]

Answer:

a) $50,880

b) $48

c) 1060

Step-by-step explanation:

a)

-320x^2 + 1920x + 48000 = 0

This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)

x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3

The maximum revenue, y, is the value of the function evaluated at x = 3.

f(x) = -320x^2 + 1920x + 48000

f(-3) = -320(3)^2 + 1920(3) + 48000

f(-3) = 50,880

The maximum revenue is $50,880

b)

Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48

c)

$50,880/$48 = 1060

3 0
3 years ago
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn t
Inessa05 [86]

Answer:

D = 20H

Step-by-step explanation:

The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.

Hence, we can write D = kH ......... (1), where k is a constant.

Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.

So, from equation (1) we get  

30 = 1.5k

⇒ k = 20.

Therefore, equation (1) becomes D = 20H (Answer)

3 0
3 years ago
Random groups of 30 teachers were asked the starting annual salary for their
Ilya [14]

Answer:

B

Step-by-step explanation:

please mark as brainlist answer

5 0
3 years ago
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