Given the parallelogram ABCD, solve for x.

Answer:

-16/65

Step-by-step explanation:

Given sinα = 3/5 in quadrant 1;

Since  sinα = opp/hyp

opp = 3

hyp = 5

adj^2 = hyp^2 - opp^2

adj^2 = 5^2 = 3^2

adj^2 = 25-9

adj^2 = 16

adj = 4

Since all the trig identity are positive in Quadrant 1, hence;

cosα = adj/hyp = 4/5

Similarly, if tanβ = 5/12 in Quadrant III,

According to trig identity

tan theta = opp/adj

opp = 5

adj = 12

hyp^2 = opp^2+adj^2

hyp^2 = 5^2+12^2

hyp^2 = 25+144

hyp^2 = 169

hyp = 13

Since only tan is positive in Quadrant III, then;

sinβ = -5/13

cosβ = -12/13

Get the required expression;

sin(α - β) = sinαcosβ - cosαsinβ

Substitute the given values

sin(α - β) = 3/5(-12/13) - 4/5(-5/13)

sin(α - β)= -36/65 + 20/65

sin(α - β) = -16/65

Hence the value of sin(α - β) is -16/65

Answer: try 90 or 120

Step-by-step explanation:

becouse i did good maths in my head its to small to be 180 and to big to be 80 so e

Answer:

It is 7 sided

we know

3 sided- 180

4sided-360°

5 sided- 540°

.

.

7 sided- 900

here we can observe with an addition of a side, it results in addition of 180°

Step-by-step explanation:

so, 145+133+140+117+119+125+x = 900

x = 121

hope it helped

Answer:

The correct answer is 15

Step-by-step explanation:

Answer:

I think it may be 120 cm

Step-by-step explanation:

A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.

ABC is similar to triangle CED and is dilated by a factor of 3  so the base is 36.

using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE

add all the values together

39 + 13 + 15 + 36 +12 +5 = 120

Answer:

Step-by-step explanation:

6-5-3-2-#-a= ?

On day 15 you would have made 32,768 dollars, which surpasses the price of the car by 12,768 dollars

Answer:

105

Step-by-step explanation:

So if you're trying to find 84% of 125, you can do 84% = 0.84 and then all you have to do is 0.84 * 125 = 105 points

Answer:

y=-1x-6

Step-by-step explanation:

do you need a explanation aswell?

Answer:

f(x) = x³ - 2x² - 19x + 20

Step-by-step explanation:

Given a polynomial with zeros x = a, x = b then the corresponding factors are

(x - a)(x - b) and the polynomial is then the product of the factors

Given zeros x = 5, x = - 4, x = 1 , then

(x - 5), (x + 4) and (x - 1) are the factors, then

f(x) = (x - 5)(x + 4)(x - 1) ← expand the first pair of factors using FOIL

     = (x² - x - 20)(x - 1) ← distribute

     = x³ - x² - 20x - x² + x + 20 ← collect like terms

     = x³ - 2x² - 19x + 20

6x + 1 + 29 = 90

6x + 30 = 90

6x = 90 - 30

6x = 60

x = 60/6

x = 10

Answer: $52.50

Step-by-step explanation:

There is $50 in the account and it earns interest at a rate of 5% a year.

This interest is not compounded therefore it is simple interest.

To calculate amount earned with simple interest is:

= Deposit * ( 1 + rate * time)

= 50 * ( 1 + 5% * 1 year)

= $52.50

Answer:

(0,18)

Step-by-step explanation:

Answer:

$15.62 is the tip and $90.37 total

Step-by-step explanation:

75.32*.20= 15.62

15.62+75.31= 90.37$

Hope this helps

Answer:

Stefan spent $120 originally

He made $24 dollars by selling the bicycle and helmet to Jin

Step-by-step explanation:

First, find the total cost:

127 + 17

= 144

To find the original cost, divide this by 1.2

144/1.2

= 120

So, Stefan spent $120 originally.

Now, find how much he made by subtracting 120 from 144:

144 - 120

= 24

So, he made $24 dollars by selling the bicycle and helmet to Jin.

Answer:

Tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Step-by-step explanation:

Three tanks are capable of holding [tex]361,841,901[/tex]

To find which tank can be used to fill each one of them an exact number of time, find [tex]HCF(361,841,901)[/tex]

[tex]361=19^2\\841=29^2\\901=17(53)[/tex]

Therefore,

[tex]HCF(361,841,901)=1[/tex]

So, tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Answer:

P=75.922 ≈ 76

∘Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

SOH-CAH-TOA

cos P = adjacent/hypotenuse= 1.8/7.4

Pcos^-1 = (1.8/ 7.4)

​

P=75.922 ≈ 76

Answer:

9 : D bc there are 6 cubes / squares then times tht by 3.3 cuz ur doin area.

8 : A

Step-by-step explanation:

Answer:

By definition, atoms have no overall electrical charge. That means that there must be a balance between the positively charged protons and the negatively charged electrons. Atoms must have equal numbers of protons and electrons. In our example, an atom of krypton must contain 36 electrons since it contains 36 protons.

Answer:

qfvgàwq sewaro kámí leotaní

Answer:

-4y+3y = -28+23

-y = -5

y = 5

thus x =-2

that is why b is right option

Answer:

The answer is going to be C.

Step-by-step explanation:

To help you in the future with any question like this one, you can always use Desmos Calculator.

Answer:

She can crochet 4 inches per/ hour.

Step-by-step explanation:

So 2 hours would be 8 inches. 4 hours 12.  If you were looking for how many stiches, you would need the number of stiches

Answer:

Step-by-step explanation:

There are only two ways to roll a sum of 11 (5,6),(6,5) out of 36 possible outcomes so

P(11)=2/36=1/18

as a rounded decimal 0.056

Answer:

if it is in inequality form = x>2

if it is in interval notation = (2, infinity in math)

Answer:

She made 32 free throw shots.

Step-by-step explanation:

Based on the given information, one can form the general equation;

[tex]\frac{made}{missed}[/tex]

Substitute in the given values;

[tex]\frac{4}{3}[/tex]

Assuming that the rates at which this proportion exists is constant, and one knows the number she missed, but not the number she made then one can say;

[tex]\frac{made}{missed}= \frac{4}{3} = \frac{made}{24}[/tex]

Solve the proportion using cross products;

[tex]\frac{4}{3}=\frac{made}{24}\\\\\\(4)(24)=(3)(made)\\\\96=3made[/tex]

Inverse operations,

[tex]96=3made\\/3\\\\32=made[/tex]

Answer:

32 free throws

Step-by-step explanation:

Answer:

zinc= 90g, copper=210g

Step-by-step explanation:

30%of 300=30/100×300=90

70%of 300=70/100×300=210