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3 years ago

Write 4/10 in lowest terms:

Mathematics

2 answers:

denpristay [2]3 years ago

8 0

Answer: 2/5

Step-by-step explanation:

You find the highest common factor between the two numbers then divide by that number . In this problem it would be two so you divide four and ten by two and you get two fifths.

Gala2k [10]3 years ago

3 0

Answer: 2/5

Step-by-step explanation:

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What is the average rate of change for the function ( IN THE PIC) over the interval (also in pic) HELP PLSSS ASAP!!!!

solong [7]

It is B because I had the question before in my school

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2 years ago

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T

Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180 ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

$60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}$

$105^{\circ}+ m\angle B=180^{\circ}$

Simplify:

$m\angle B=75^{\circ}$

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles.

$\frac{\sin A}{BC} = \frac{\sin C}{AB}$

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

$\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}$

then,

$BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}$

$BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798$ unit

Similarly for AC:

$\frac{\sin B}{AC} = \frac{\sin C}{AB}$

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

$\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}$

then,

$AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}$

$AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283$ unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

$A = \frac{1}{2} \times AB \times AC \times \sin A$

Substitute the values in above formula to get area;

$A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}$

$A = 4 \times 10.9283 \times 0.86602540378$

Simplify:

Area of triangle ABC = 37.856 (approx) square unit

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3 years ago

Write in vertex form (by completing the square)y=4x2+40x+96

Anestetic [448]

$y=4x^2+40x+96\\ \\ The \ vertex \ form \ of \ the \ function \ is: \\ \\y = a(x - h)^2 + k \\ \\vertex =(h, k) \ is \ given \ by: \\ \\h = \frac{-b}{2a} , \ \ \ k = c -\frac{b^2}{4a} \\ \\a=4 , \ \ b=40 , \ \ c=96$

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3 years ago

Two groups of friends go to a basketball game. Each group plans to share snacks. The first group buys 5 drinks and 6 pretzels fo

tatuchka [14]

Answer:

the price for one pretzel was $1.75

Step-by-step explanation:

d for drinks

p for pretzel

3d + 3p = 9

3d = 9 -3p

d = 3 - p

replace d = 3 - 9 into 4d + 2p = 8.5

4d + 2p = 8.5

4(3 - p) + 2p = 8.5

12 - 4p + 2p = 8.5

-2p = 8.5 - 12

-2p = -3.5

p = 1.75

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3 years ago

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kondor19780726 [428]

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3 years ago