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likoan [24]
3 years ago
11

3x+8y=27 4x+3y=13 solve the simultaneous equation

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Step-by-step explanation:

3x+8y=27

3x=27-8y

x=27-8y/3

4(27-8y/3) + 3y=13

36-32/3y +3y =13

36-23/3y=13

36-13=23/3y

y=3

x=1

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The radius of a semicircle is 3 feet. What is the semicircle's area?<br>Use 3.14 for Pi​
valentinak56 [21]

Answer:

14.13 ft²

Step-by-step explanation:

The area of a semicircle is

=  \frac{\pi \:  {r}^{2} }{2}

We were given the radius of the semicircle to be: r=3 feet.

We were also asked to use π as 3.14.

We substitute into the formula to get:

=  \frac{3.14 \times  {3}^{2} }{2}

This is the same as:

=  \frac{3.14 \times  9}{2}

Or

= 3.14 \times  4.5

= 14 .13 {ft}^{2}

The area of the semicircle is 14.13 ft²

5 0
3 years ago
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please
joja [24]

Step-by-step explanation:

If it's a straight line the use formula

y = mx + c

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

6 0
3 years ago
The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
Leno4ka [110]

Answer:

Option 4. Perimeter = 30 units

Step-by-step explanation:

Since the volume of a pentagonal prism is 840 cubic units.

Perpendicular distance between the bases = 14 units

We know volume of a pentagonal prism = Area of base × distance between the bases

840 = Area × 14

Area = 840/14 = 60 square units

Now area of a pentagon

A=\frac{a^{2}}{4}\times\sqrt{5(5+2\sqrt{5})}

1.72a^{2}=60

a^{2}=\frac{60}{1.72}=34.90

a=\sqrt{34.9}=5.91

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8 0
3 years ago
Math question please show work don't guess
iVinArrow [24]

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sin x = 10/21

To now solve for x, we so the inverse of sine.

sin⁻¹(10/21) = x

Plug this into your calculator.

x ≈ 28.44 degrees. This would round down to 28 degrees, option B is your answer.

5 0
3 years ago
Read 2 more answers
a group of 3 people are sharing chocolates each person wants 8 chocolates and each box has 6 chocolates
Shtirlitz [24]

4 boxes of chocolates are needed by the group.

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Essentially, 24/6 = 4 boxes of chocolates

for more see brainly.com/question/21416852

7 0
3 years ago
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