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ollegr [7]
3 years ago
8

Evaluate the expression 6x7-3^2x9+4^3

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0
<span>6x7-3^2x9+4^3
= 42 - 9x9 + 64
= 42 - 81 + 64
= 25</span>
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An observer from the top of a lighthouse 370 feet above sea level sees two sailboats in the water. The angles of depression to t
noname [10]

Answer:the sailboats are 358 feet apart.

Step-by-step explanation:

The diagram of the triangle representing the situation is shown in the attached photo.

B represents the position of the lighthouse.

D represents the position of the first sailboat.

C represents the position of the second sailboat.

x represents the distance between the two sailboats

We would apply trigonometric ratio

Tan # = opposite/adjacent

For triangle ABD,

Tan 12 = 370/AD

AD = 370/Tan 12 = 370/0.2126 = 1740.357 feet

For triangle ABC,

Tan 10 = 370/AC

AD = 370/Tan 10 = 370/0.1763 = 2098.695 feet

x = AC - AD = 2098.695 - 1740.357 = 358 feet

5 0
3 years ago
9.2x68 please have a long form.
Tanya [424]
9.2x68 = 625.6
625.6 = six hundred twenty five and sixth tenths
7 0
3 years ago
Read 2 more answers
The slope of the line passing through the points (2,3) and (4, y) is
umka2103 [35]

Answer:

6

Step-by-step explanation:

y2-y1       y-3     =3     what -3 =3?    6 :)

x2-x1       4-2    = 2

slope is 3/2

8 0
4 years ago
plz i need help Find the perimeter and area of each shape. If you use a formula write it down. Show me your work. 1.) An 8ft by
trasher [3.6K]
1) perimeter = 36 ft

explanation:

p=2l+2w
p=2(8)+2(10)
p=16+20
p=36

area = 80 ft^2

explanation

a=l*w
a=8 ft* 10 ft
a=80 ft^2

2) perimeter = 28

explanation:

p=2l+2w
p=2(7)+2(7)
p=14+14
p=28

area = 49 in^2

explanation:

a=l*w
a=7in*7in
a=49 in^2

6 0
3 years ago
Emily purchased lemons for $600. She sold 3/4 of these at a loss of 20% and the remaining at a gain of 20%. How much percent doe
MAVERICK [17]

Answer:

10%

Step-by-step explanation:

Given: CP of lemon is $600.

           3/4 of lemon sold at 20% loss

           Remaining lemon at 20% gain.

Considering the quantity of lemon remain constant.

Cost price of 3/4 of lemon= \frac{3}{4} \times 600= \$450

As given, 3/4 of lemon sold at 20% loss.

∴ Selling price of \frac{3}{4}\ of\ lemon=  450- \frac{20}{100}\times 450

Selling price= 450- 90= \$ 360

Hence, selling price of 3/4 lemon is $360.

Now, the cost price of remaining lemon (1-\frac{3}{4} )= (\$ 600-\$ 450)

∴ The cost price of \frac{1}{4}\ lemon = \$ 150

As given, remaining \frac{1}{4} lemon\ sold\ at\ gain\ of\ 20\%

∴ Selling price of \frac{1}{4} \ lemon= (150\times \frac{20}{100}+150)

Selling price of \frac{1}{4} \ of\ lemon= (30+150)

Hence, selling price of 1/4 lemon is $180

Loss\profit percent= \frac{(SP-CP)}{CP} \times 100

∴ Loss\profit percent= \frac{60}{600} \times 100= 10\%

Hence, the loss percentage is 10%

8 0
3 years ago
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