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Elodia [21]
2 years ago
15

What is the answer to 1/2(2.5+5)6

Mathematics
1 answer:
mr Goodwill [35]2 years ago
6 0

Answer:

all work is pictured and shown

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If the perimeter of an equilateral triangle is 30cm, find its area. ​
lora16 [44]

Answer:

A ≈ 43.3 cm²

Step-by-step explanation:

the area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is a side of the triangle )

given perimeter = 30 cm , then

s = 30 cm ÷ 3 = 10 cm

then

A = \frac{10^2\sqrt{3} }{4} = \frac{100\sqrt{3} }{4} = 25\sqrt{3} ≈ 43.3 cm² ( to the nearest tenth )

7 0
2 years ago
Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.
cluponka [151]

Answer:

The approximate measure of angle K is 34°

Step-by-step explanation:

In ΔJKL

∠L = 105°

JK = 4.7

JL = 2.7

Sine Rule:

\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}

So,\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70

K ≈ 34°

So, Option B is true

Hence The approximate measure of angle K is 34°

5 0
2 years ago
Evaluate the expression when x-3<br> 4x2 - 14x + 4
Lady_Fox [76]

Answer:

82

Step-by-step explanation:

Evaluate 4 x^2 - 14 x + 4 where x = -3:

4 x^2 - 14 x + 4 = 4×(-3)^2 - -3×14 + 4

(-3)^2 = 9:

4×9 - 14 (-3) + 4

4×9 = 36:

36 - 14 (-3) + 4

-14 (-3) = 42:

36 + 42 + 4

| 1 |  

| 4 | 2

| 3 | 6

+ | | 4

| 8 | 2:

Answer:  82

6 0
2 years ago
Solve for c.
Vanyuwa [196]

Answer:

b

Step-by-step explanation:

solve for c by simplifying both sides of the equation then isolate the variable

6 0
2 years ago
Write the equation in point slope intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x
Alina [70]

Answer:

y+11=-2/3(x-6)

Step-by-step explanation:

To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).

Point-slope form:

y-y1=m(x-x1) → y+11=-2/3(x-6)

m represents the slope, which is -2/3 in this situation.

y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.

x1 represents the x coordinate, which is 6 in this situation.

8 0
2 years ago
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