the number 47 is composed of

Answer:

[tex]80[/tex]° and [tex]10[/tex]°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of [tex]90[/tex]°. Therefore, if we let the measure of the bigger angle be [tex]x[/tex], then the measure of the smaller angle will be [tex]x-70[/tex] because we are given that the difference of the measures of the two angles is [tex]70[/tex]°. We can write the following equation to solve for [tex]x[/tex]:

[tex]x+x-70=90[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x-70=90[/tex]

[tex]2x-70=90[/tex] (Simplify LHS)

[tex]2x-70+70=90+70[/tex] (Add [tex]70[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]2x=160[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{160}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=80[/tex] (Simplify)

Therefore, the measure of one angle is [tex]80[/tex]° and the measure of the other angle is [tex]x-70=80-70=10[/tex]°. Hope this helps!

We know, sum of complementary angles = 90°

Let, one of the angle = x°

∴ Another angle = (90 - x)°

As per condition,

(x°) - (90 - x)° = 70°

⇒ x° - 90° + x° = 70°

⇒ 2x° = 70° + 90° = 160°

⇒ x° = 80°.

So, angles are:-

Answer:

Call the sister's height x. The boy is twice as tall, so that's 2x. The father is 30 cm taller than the boy, so his height is 2x + 30. The combined height is 3.8m, which is 380cm. Now you can write an equation

x + 2x + 2x + 30 = 380

collect like terms

5x = 350

x = 70

the sister is 70cm tall, the boy is 2*70 = 140 cm, and the father is 140 + 30 = 170cm

Check that the heights add up to 3.8m: 70 + 140 + 170 = 380 cm = 3.8m. Correct

Step-by-step explanation:

hope it helps

Answer:

9736 times 704 is 6854144

Answer:

6854144

explanation:

The area of the given triangle ABC is 61.8 Square units.

The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.

Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)

Hence,

area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)

Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8

Therefore, the area drawn by the given triangle ABC is 61.8 square units.

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The area of the triangle is A = 61.8 units²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now ,  length of side AC is 10 and the length of CB is 13.

Angle BAC is 64° and angle ACB is 72°

Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )

A =  1/2 ( 10 ) ( 13 ) sin 72°

A =  61.8 units²

Hence , the area is A = 61.8 units²

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Answer:

75 ÷k number of squares based on the k value

Step-by-step explanation:

Let us suppose the ovals number be x

And, the square number be y

Now in the case when the ovals number is proportional to the square number

So, it would be defined as

x∝y

And,  

x = ky

Here k is the constant

Now  

If there are 75 ovals,

So, x = 75

Now put this in the above equation  

75 = kx

x = 75 ÷k

Answer:

[tex]y= 90+15x[/tex]

Step-by-step explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Step one:

Given data

A babysitter gets paid $60 for 4 hours of work

let us find the pay per hour

pay per hour will be= 60/4

pay per hour will be= $15

let the number of hours be x and the money earned be y

the expression is

[tex]y= 90+15x[/tex]

Answer:

110

Step-by-step explanation:

55 times 2/1 = 110 (you flip the fraction and change the sign to multiplication)

Answer:

110

Step-by-step explanation

Answer:

20 tickets

Step-by-step explanation:

tickets/total tickets * 100% = 10% chance to win the raffle

x/200*100=10

solve for x

x/200 =  10/100

x = 200(0.1)

x = 20

Answer:

so can it be your age

Step-by-step explanation:

12 mybe

Answer:

????????????????hmmmmm.....

Answer:

13

Step-by-step explanation:

cos(x)=adjacent/ hypotenuse

cos(x)=80/82

x=cos-1(80/82)

x=12.7

cloest to 13

Answer:

35

Step-by-step explanation:

Answer:

[tex]-\frac{45}{16}[/tex]

Step-by-step explanation:

[tex]g(x)=\frac{x^{2} -7x+1}{4}[/tex]

Take the derivate of g:

[tex]g'(x)=\frac{x-7}{4}[/tex]

Find x that:

g'(x)=0

[tex]\frac{2x-7}{4}=0\\x=\frac{7}{2}[/tex]

This x give the least possible value that are g(7/2):

[tex]g(\frac{7}{2}) =-\frac{45}{16}[/tex]

Answer:

-5/6

Step-by-step explanation:

Using the slope formula we can easily find the slope

m=(y2-y1)/(x2-x1)

m=(-1-4)/(10-4)

m=-5/6

Answer:percent increase in the number of games won= 18%

Step-by-step explanation:

Number of game won last year = 11

Number of games won this year = 13

Percent increase = Increase in number of games won/ Number of games won lasT year ) X 100

= (13-11)/ 11 X 100

2/11 X100

=18.18= 18%

Answer:

the height of the rail train is 15.3 feet

Step-by-step explanation:

The computation of the height of the rail train is given below:

= Height of the model train ÷ 2 cm × real train

= 10.2 cm ÷ 2 cm × 3 feet

= 15.3 feet

Hence, the height of the rail train is 15.3 feet

We basically applied the above formula in order to get the height of the rail train

Answer:

y= -4x+20

x intercept is 5

y intercept is 20

slope is -4

if she buys three comics she will have $8 left

Answer:

18.58

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

just took the test

Answer:

-9

Step-by-step explanation:

i think it's  -10

that's confusing

Answer: the first answer choice or (6,4)

Step-by-step explanation:

where they intersect

Answer:

Definition of 18T - 18T stands for Tatum Airport.

Step-by-step explanation:

Given:

Francis earns a weekly salary of $475 plus a 5.5% commission on sales at a girt shop.

To find:

How much would he earn in a week if he sold $700 in goods?

Solution:

We have,

Fixed weekly salary = $475

Commission percentage = 5.5% on sales.

Total sales of goods = $700

Total commission = 5.5% of 700

                             [tex]=\dfrac{5.5}{100}\times 700[/tex]

                             [tex]=5.5\times 7[/tex]

                             [tex]=38.5[/tex]

Now,

Total weekly salary = Fixed weekly salary + Commission

                                 [tex]=475+38.5[/tex]

                                 [tex]=513.5[/tex]

Therefore, the total weekly salary is $513.5.

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds

Answer:

The answer is 75

Step-by-step explanation:

Sorry if am wrong.

Answer:

550

Step-by-step explanation:

12% of 550 is 66

Answer:

4th one

Step-by-step explanation:

just do it. i know im right

Answer:

e2 = 112 + 92 − 2(11)(9)cos(140°)

Answer:

A

Step-by-step explanation:

2020 Edge

he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.

So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.

r=raisins, p=peanuts

(r x $3.25) + (p x $5.75) = $7.50

The weight of the ingredients in the mixture are  1.8 pound and 0.2 pound respectively.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the amount of raisins be x pound,

And, the amount of peanuts be y pound,

Now, the equation for the total amount is given as,

x + y = 2                                  (1)

And, for the cost as,

3.25x + 5.75y = 7.50             (2)

Multiply equation (1) by 3.25 and then subtract from (2) as follows,

3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50

=> -2.5y = -0.5

=> y = 0.2

Then, x + 0.2 = 2

=> x = 1.8

Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.

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Answer:

x < 2.4

Step-by-step explanation:

subtract 3.8 from each side to get x by itself. that leaves you with x < 2.4

Answer:

x+4=y+x

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

Answer:

the answer is 568/15 if you need help on to computer just look up advanced calculator and its called Desmos Scientific calculator

Step-by-step explanation: