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3 years ago

GEOMETRY/INTRO TO TRIG QUESTION! Please show your work and explain.

Mathematics

2 answers:

postnew [5]3 years ago

4 0

Answer:

The answer to your question is AB = 6.9

Step-by-step explanation:

Data

∠A = 70°

∠C = 62°

BC = 7.3

AB = x

Process

1.- To solve this problem use the law of sines

AB / sin C = BC / sin A

Substitution

AB / sin 62 = 7.3 / sin 70

Solve for AB

AB = 7.3(sin 62) / sin 70

AB = 7.3(0.883) / 0.940

AB = 7.3 (0.939)

Result

AB = 6.8

Sloan [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Since we are given 2 angles and 1 side, to determine AB, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.

Therefore

AB/Sin62 = 7.3/Sin70

Cross multiplying, it becomes

AB × Sin 70 = 7.3 × Sin 62

AB × 0.9397 = 14 × 0.8829

0.9397AB = 12.3606

Dividing the left hand side and the right hand side of the equation by 0.9397, it becomes

0.9397AB/0.9397 = 12.3606/0.9397

AB = 13.2 to the nearest tenth

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The marked price of an article is 25% above its selling price and the cost price is 30% less than its marked price. Find the dis

Pie

Answer:

Discount=20%

Profit=14.20%

Step-by-step explanation:

8 0

2 years ago

find the side lengths of each triangle. I can't figure out the formula. awnsers with work would be most helpful. Im having most

34kurt

18. (if you needed it)

The triangle is an equilateral triangle, it has 3 congruent/equal side lengths and 3 congruent angles.

To find "z", you can set the sides equal to each other (you can just do two sides since they are all suppose to be the same lengths)

z + 5 = 4z - 4 Subtract z on both sides

5 = 3z - 4 Add 4 on both sides

9 = 3z Divide 3 on both sides

3 = z

Plug this into one of the sides

z + 5

3 + 5 = 8 Each side is 8

[proof]

z + 5

3 + 5 = 8

4z - 4

4(3) - 4

12 - 4 = 8

3z - 1

3(3) - 1

9 - 1 = 8

19. This is an isosceles triangle, which is a triangle that has 2 congruent sides and 2 congruent angles. (The red tick marks shows that the sides are the same/equal)

Since the 2 sides are the same length, you can set them equal to each other to find "x":

2x + 6.8 = 8x + 1.4 Subtract 2x on both sides

6.8 = 6x + 1.4 Subtract 1.4 on both sides

5.4 = 6x Divide 6 on both sides

0.9 = x

Now that you know x, you can find the sides:

2x + 6.8

2(0.9) + 6.8

1.8 + 6.8 = 8.6

8x + 1.4

8(0.9) + 1.4

7.2 + 1.4 = 8.6

The two side lengths are 8.6

5 0

4 years ago

Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate th

pochemuha

Answer:

Polynomial expression that represents the area of blanket:

$A(x)=(6x^2+5x-21)cm^2$

If $x=2$ : $A(2)=13cm^2$

Step-by-step explanation:

The area of the rectangle can be calculated with the formula:

$A=lw$

Being l the lenght of the rectangle and w the width of the rectangle.

In this case, the lenght and the width are represented with:

$l=(3x+7)cm$

$w=(2x-3)cm$

Substitute them into $A=lw$ :

$A(x)=(3x+7)(2x-3)$

Then:

Use Distributive property (Remember the Product of powers property: $b^a*b^c=b^{(a+c)}$ ):

$A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21$

Add like terms:

$A(x)=(6x^2+5x-21)cm^2$ (Simplied form)

Evaluate $x=2$ :

$A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2$

6 0

4 years ago

Which number is equal to 10 Superscript negative 3? –1,000 –30 0.001 0.003

Karolina [17]

<u>Given</u>:

The given expression is $10^{-3}$

We need to determine the equivalent number.

<u>Equivalent expression:</u>

To determine the equivalent number, let us solve the expression $10^{-3}$

Thus, let us apply the exponent rule $a^{-b}=\frac{1}{a^{b}}$ , we get;

$10^{-3}=\frac{1}{10^{3}}$

Also, the term 10³ can be written as $10^{3}=1000$

Thus, we get;

$\frac{1}{1000}$

Dividing, we get;

0.001

Hence, the equivalent number is 0.001

Hence, Option c is the correct answer.

5 0

3 years ago

Read 2 more answers

If 4 quarts of organic grapes cost $20 how many quarts can you purchase for one dollar

Eva8 [605]

Answer:

4/5 of a quart

Step-by-step explanation:

Set this up as a proportion. First of all we know that 4 quarts of organic grapes cost $20, so 4x = 20. Divide and you get that x = 5 meaning 1 quart equals 5 dollars. Now if we scale this down a bit and divide by 5, we end up with 4/5 of a quart = 1$.

Hope this helped (:

3 0

3 years ago