1/8 + 3/4, please explain!

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

9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

Answer:

D and E

Step-by-step explanation:

Answer: d and e!

Step-by-step explanation:

:)

Answer:

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

Step-by-step explanation:

and thanks

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.

Answer:

20, 1/4 pound pieces of butter

Step-by-step explanation:

1/4*4= 1 pound

so,

4*5=20

:)

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°

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.

Learn more about Pythagoras's theorem here:

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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:

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!

Answer:

270

Step-by-step explanation:

15x18

Answer:

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

Answer:(2/3) + (9/10) = 47/30

= 1 17/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/3 x 9/10

=(2x9)/ (3x10)

=18/30

The simplest form of 18/30 is 35.

How I got this answer: First you need to write out your equation, Then you need to multiply like so, Take the first number of your first equation and multiply it by the first number in the second equation then do that for your second like this (2x9) and take (3x10) mulitply both and you get 18 for the first then 30 for the second, if you need that in simplest form. then it will be 35. Hope this helps Have a wonderful day  

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope = 3/4

Y intercept = - 2

Answer:

20 Grams will be left after 6 minutes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

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:

0 is an integer and a whole number

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:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

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:

1) 63cm²

2)28.27cm²

(dont put the cm² in your answer though since its already there)

Step-by-step explanation:

Surface area of the cardboard part formula :

Base × Height

you have the radius going half way so add another 3cm to make it 6cm so you have the full length

6 x 10.5= 63cm²

Plastic part of the can :

[tex]\pi \: r^{2} [/tex]

3cm is your radius so.

[tex]\pi \times 3 ^{2} = 28.27433388[/tex]

but its asking you to round to the nearest hundredth so

28.27cm²

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).

Learn more about Constant, here:

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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.

To know more about an expression follow

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Answer:

201

Step-by-step explanation:

Answer:

I am gonna be honest with you I don't

know this answer but I have something that might help

COPY THIS :  https://miniwebtool.com/exponential-growth-calculator/

Step-by-step explanation:

Answer: B

Step-by-step explanation:

10 ounces in 283.5

5.48/10=0.548

reduce to 0.55

Answer:

Use the conversion that 1 ounce is approximately 28.35 grams to calculate the unit price per ounce for 283.5 grams at $5.48.

a.

$0.06

b.   <<<<<<<-------CORRECT

$0.55

c.

$5.48

d.

$54.80

Step-by-step explanation:

eDGE 2021

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

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)