If a price increases by 16%, what number can we multiply the old price by to get the new price?

Answer:

288 cm^2

Step-by-step explanation:

Area of Triangle: 1/2bh

1/2(36)(16)

1/2(576)

288

216 is the real answer i took the test.

Answer:

The answer is 60°

Step-by-step explanation:

From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.

We also know that mZAOC is 104°

This means that the two other angles have to make up 104°

To figure out mZBOC,

First, you can subtract 30 and 42 from 104.

We do this because it allows us to focus on the variables.

104-30-42=32

Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.

7(2)+9(2)=32

Now that we know what x equals we can substitute it into the equation for mZBOC.

9x + 42°

9(2) + 42°

60°

Thus, mZBOC equals 60°

Answer:

x = 44

y = 22

Step-by-step explanation:

✔️Find x:

Reference angle = 60°

Hypotenuse = x

Opposite side length = 22√3

Applying the trigonometric FUNCTION, SOH, we have:

Sin 60 = opp/hyp

Sin 60 = (22√3)/x

x × Sin 60 = 22√3

x = (22√3)/Sin 60

x = (22√3)/(√3/2) (sin 60 = √3/2)

x = 22√3 × 2/√3

x = (22√3 × 2) / √3

x = (44√3) / √3

x = 44

✔️Find y:

Reference angle = 60°

Hypotenuse = x = 44

Adjacent length = y

Applying CAH, we have:

Cos 60 = adj/hyp

Cos 60 = y/44

44 × Cos 60 = y

44 × ½ = y (cos 60 = ½)

22 = y

y = 22

Answer:

x=44,y=22

Step-by-step explanation:

sin 60=22√3/x

x=22√3/sin60=44

sin30=y/x

y=sin30×44=22

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope = 3/4

Y intercept = - 2

Answer:

0 is an integer and a whole number

Answer:

0.0625/year or 6.25%/year

Step-by-step explanation:

Simple interest formula:

We are given these values:

We want to find r, the simple interest rate.

Substitute these known values into the formula.

The simple interest rate is 0.0625, aka 6.25% per year.

Answer:

1) Z = 3.17

2) 4.69  or √22

3) X = 42°

4) X = 60°

Step-by-step explanation:

1) (4)(8+4) = (Z)(Z+12)

48 = Z² + 12Z

Z² + 12Z -48 = 0

(Z +15.17)(Z - 3.17) = 0

Z = 3.17

2) (2)(11) = Y²

y² = 22

Y = 4.69  or √22

3) 180° - 139° = 41°

41° = 1/2(40° + X)

41° = 20° + 0.5X

21° = 0.5X

X = 42°

4) X = 1/2(240°-120°)

X = 1/2(120°)

X = 60°

Answer:

[tex]1\frac{1}{2}[/tex] inches

Step-by-step explanation:

The shortest measurement is the smallest number with a x over it. In this case, the smallest one is [tex]1\frac{1}{2}[/tex] inches.

Six and 3 over 5

Step-by-step explanation:

Add whole number first

2 plus 4 equal to 6

2 plus 1 equal to 3

3 plus 2 equal 5.

Therefore Ans equal six three over five

Answer:

7 cups

Step-by-step explanation:

convert 2/3 and 1/2 into 4/6 and 3/6 then and 12/6 to 3/6 and 24/6 to 3/6 to get 15/6 and 27/6 add them together to get 42/6 and convert to whole number to get 7 cups

Answer:

20, 1/4 pound pieces of butter

Step-by-step explanation:

1/4*4= 1 pound

so,

4*5=20

:)

Answer:

110

Step-by-step explanation:

took the same test 1 week ago

Answer:

110 words

Step-by-step explanation:

What we know:

- Snigdha can type 550 words in 30 minutes

1) Find how many words they can type in 1 minute

To do this, divide 550 words by 30 minutes:

550÷30=18.3333... words

Therefore, Snigdha can type approximately 18 words in one minute.

2) Multiply 18 words by 6 minutes

18.3333...×6=110

Therefore, Snigdha can type 110 words in 6 minutes.

I hope this helps!

The required value of x = 12 and the side length of the triangle is 12 units. which is determined by Pythagoras's theorem.

Pythagoras's theorem states that in a right-angled triangle, the square of one angle is equal to the sum of the squares of the other two sides.

The given triangle is a right-angled triangle.

As per Pythagoras's theorem,

⇒ a² + b² = c²

Here a = 16, b = x and c = 20

Substitute the values in the formula,

⇒ 16² + x² =20²

⇒ 256 + x² = 400

⇒ x² = 400 - 256

Apply the subtraction operation,

⇒ x² = 144

⇒ x = √144

⇒ x = 12

Therefore, the required value of x is 12 units.

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Answer:The Answer is C

Step-by-step explanation:

The value of the constant in the equation below is 100. So, the correct option is (C).

Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.

Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.

Height equation: H= C/W

where, H is the height, C is the constant and W is the width.

We choose a point given in the graphic, I will choose (4,25), which means that when W=4  and H=25 . We use this to find the constant. So

25=C/3

C= 100

Thus, the value of the constant in the equation below is 100. So, the correct option is (C).

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Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

Answer:

the maximum amount of people would be 288, 500 and the minimum would be 271,500

Step-by-step explanation:

basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum

There could be up to 288.500 persons present, with a minimum of 271,500.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.

Maximum = 2800000 + 8500 = 288,500

Minimum = 271,500 - 8500 = 263000

Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.

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Answer:

D and E

Step-by-step explanation:

Answer: d and e!

Step-by-step explanation:

:)

Step-by-step explanation:

[tex] \frac{x}{2} = \frac{x}{3} + 1 [/tex]

Answer:

v = 0.0229 km/h

Step-by-step explanation:

Given that,

Distance, d = 68,732 milometers = 0.0687 km

Time, t = 3 hours

We need to find the speed of the rocket. The speed of an object is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{0.0687}{3}[/tex]

v = 0.0229 km/h

So, the speed of the rocket is 0.0229 km/h.

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

Answer:

270

Step-by-step explanation:

15x18

Answer:

6 dollers per hour

Step-by-step explanation:

becyase you do 3 divided by 18 to get 6

Answer:

[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]

Step-by-step explanation:

Answer:

it decreased by 5.55% change of 6%

The relative change is -6% Rounding to the nearest percent.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.

The absolute change is the final value minus the initial value;

Absolute change = 51000 - 54000 = -3000

Now, calculating the relative change;

Relative = -3000/54000

Relative = - 0.0555

Since the relative change is negative, this change indicates a decrease.

Therefore, the relative change is -6% Rounding to the nearest percent.

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Answer:

c = 3.3 cm

Step-by-step explanation:

A = 180 - (95 + 45) = 40° (sum of triangle)

a = 3.0 cm

C = 45°

c = ?

Applying the Law of Sines, we have:

[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]

Cross multiply

[tex] Sin(40)*c = Sin(45)*3 [/tex]

Divide both sides by sin(40)

[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]

c = 3.3001886 ≈ 3.3 cm (nearest tenth)

Answer:

£50 ; £7.50

Step-by-step explanation:

Given that:

Discount on sale, d = 15%

Amount paid = £42.50

Hence the relation to obtain the amount paid goes thus ;

Amount paid = (1 - d) * original amount

Let original amount = x

42.50 = (1 - 0.15)x

42.50 = 0.85x

x = 42.50 / 0.85

x = £50

Amount saved :

£(50 - 42.50) = £7.50

Answer:

Step-by-step explanation: