Please help me with the question below

Answer:

Step-by-step explanation:

1.48+103+c=180(sum of the interior angles of a triangle)

151+c=180

c=180-151

c=29 degree

2.angle D+angle E=90(in complementary angles sum of two agles is 90 degree)

52+angle E=90

angle E=90-52

angle E=38 degree

3.angle F+angle G

=145+35

=180 degree

yes they are supplementary angles because in supplementary angle sum of two angles is 180 degree)

4.a.radius=diameter/2

=16/2

=8 ft

b.circumference=πd

=3.14*16

=50.24 ft

c.area=πr^2

=3.14*(8)^2

=3.14*64

=200.96 ft^2

6.yes 3,4 and 5 forms a triangle because the sum of two first number is greater than third side.

Answer:

hope it helped :)

Step-by-step explanation:

1)

In ΔABC , sum of angles = 180°

∠A + ∠B + ∠C  = 180

 48 + 103 + ∠C = 180

∠C = 29°

2)

∠D and ∠E are complementary angles. That is sum of ∠D and ∠E = 90

∠D + ∠E = 90°

52 + ∠E = 90

∠E = 38°

3)

∠F + ∠G =  145 + 35 = 180°

Since sum of angles is 180° , they are supplementary angles.

4)

a) diameter , d = 16 ft  => radius = 16/2 = 8ft

b) circumference, c =π d = 3.14 x 16 = 50.24ft

c) Area = π \(r^2\) = 3.14 x 8 x 8 = 200.96 square feet

5)

a) ∠M = 72°

b)  \(\frac{15}{5} = \frac{8}{x}\)

    \(x = \frac{8 \times 5}{15} = \frac{40}{15} = \frac{8}{3}\)

6)

For the given lengths to be a triangle. sum of squares of small sides must be equal to square of larger length. That is,

                                                        \(5^2 = 4^2 + 3^2\\25 = 16 + 9\\25 = 25\)

And it's true. So the lengths make a triangle.

Answer:

There are 14 Carbs in 1 glass of milk.

Answer:

Given that Elena is currently e years  old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.

So, k - 9 = 2(e - 9)

⇒ k - 2e + 9 = 0 .............. (1)

And, in four years, Elena will be as old as Katie is now.

So, k = e + 4

⇒ k - e - 4 = 0 ............... (2)

Therefore, the equations (1) and (2) matches the conditions. (Answer)

Answer:

1.6 liters of lemonade

Step-by-step explanation:

There are 1000 milliliters in one liter so she made 8000 milliliters of lemonade

Next we have to figure out how many milliliters of lemonade she sold each day:

Saturday: 200 milliliters of lemonade in a glass * 8 glasses = 1600 milliliters of lemonade sold

Sunday:  200 milliliters of lemonade in a glass * 24 glasses = 4800 milliliters of lemonade sold

1600  + 4800 = 6400 total milliliters of lemonade sold

Since there are 1000 milliliters in one liter, we have to divide 6400 by 1000:

6400 ÷ 1000 = 6.4 liters

Lastly, we have to subtract 6.4 from 8:

8 - 6.4 = 1.6 liters of lemonade

Hope this helps!

Answer:

1.) X = 7 and Y = 5

2.) 5 streamers

Step-by-step explanation:

According to the question, you are given the inequality equation of

2.5x + 3.5y < = 35

Since the equation is less than or equal to, than means that the equation can be 2.5x + 3.5y = 35

According to the graph,

X = 14 and Y = 10

Substitute both into the equation if it will not exceed 35

2.5(14) + 3.5(10) = 35

35 + 35 = 70. This is wrong.

Take the half value of both x and y and substitute again

X = 7 and Y = 5

2.5(7) + 3.5(5)

17.5 + 17.5 = 35

Therefore, she can buy 7 helium - filled balloons and 5 streamers

2.) If Julie buy 6 ballons, substitute x for 6 in the inequality equation to find y

2.5(6) + 3.5y < = 35

Open the bracket

15 + 3.5y < = 35

Collect the like terms

3.5y <= 35 - 15

3.5y <= 20

Make y the subject of formula

Y <= 20/3.5

Y < = 5.7

We can therefore conclude that she can buy 5 streamers. Or 5 1/2 if possible.

Answer: explanation

Step-by-step explanation:

I am unsure about number 1, but for number 4, you have to fund the unit rate.

Answer:

Answer for Number 1: 54 1/2

Answer for Number 4: $2.36

Step-by-step explanation:

Explanation for number 1:

    1.  length x width = area right? So area divided by length = width!

        159 3/8 divided by 18 3/4 = 8 1/2

    2. width + width + length + length = perimeter right? Now you know the

        width,  you can do...

         8 1/2 + 8 1/2 + 18 3/4 + 18 3/4 = 54 1/2

Explanation for number 4:

    1.  You know that 4 cup = 1 quart right?

        9.44 = 1 quart

    2. So you divide it:

        9.44 / 4 = $2.36

first u should find the area of rectangular:

7 × 16 = 112

then u should find the area of triangular:

Altitude = 13- 7 = 6

base=16 - 8 = 8

so...u can find the area of triangular now:

(6× 8)÷2 = 48 ÷ 2 = 24

so...the area of your shape is: 112+ 24 = 136

Answer:

16 cookies are left.

Step-by-step explanation

2/3 of 48 is 32

48-32=16

Answer:

D 64.5 square centimeters

Step-by-step explanation:

the hexagon can be divided into 6 identical triangles with base 5cm and height 4.3cm

Area of the hexagon:

(5 x 4.3 /2) x 6 = 64.5

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer:

163200m

Step-by-step explanation:

since there is two 17's you qould need to multiply 17 x 2 and then u multiply it times 15 then times 16 but there is two 16's so u multiple that then 10 and that should get you your answer

Answer: 12

Step-by-step explanation:

If the two shapes are the same, let's find a ratio using two sides shared by the shake.

10:40

1:4

Meaning, the shape on the right is four times the size of the shape on the left.

Therefore, we can take the missing point of 3, multiply it by 4, and x = 12

Answer:

  see attached

Step-by-step explanation:

The image on the left in the attachment is created with an initial direction angle of 0°. The image on the right, with both feet at the bottom, is created with an initial direction of 36° (not 72°). An initial rotation of 72° results in an image like the left one, except with the origin at the bottom point.

In each case, the origin is marked with a dot.

The final result is a five-pointed start or a five-pointed start upwards if you rotate 72 degrees rather than 144 degrees the first time.

A star is a type of polygon, which means it is a shape with multiple sides. Indeed, five-pointed stars are classified as decagons or polygons with 10 sides but the number of sides varies if the star is six-pointed, ten-pointed star, etc.

All stars use lines with specific angles to be created. In the case of five-pointed stars, whcih are the most common the general pattern is:

This means that if you follow the instruction you will obtain a five-pointed star.

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Answer:

term

Step-by-step explanation:

Answer:

The answer to your question is term

Step-by-step explanation:

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

n = 7/10 or 0.7

Step-by-step explanation:

Isolate the variable by dividing both sides by 10

n10 ÷ 10 = 7 ÷ 10

n = 7/10

n = 7/10 or 0.7

Answer:

About 1/2 should be the answer. Hope this helps!

The required, based on the benchmark estimation, the difference 17/18 - 3/7 is approximately 0. Option C is correct.

To estimate the difference between 17/18 - 3/7 using benchmarks, we can round the fractions to the nearest benchmark values.

Let's estimate the difference using these benchmark values:

Using 16/18 - 2/7:

16/18 is close to 1/2 (9/18) and 2/7 is close to 2/7. Subtracting these fractions gives us:

1/2 - 2/7 = 7/14 - 4/14 = 3/14

Using 1/2 - 1/2:

1/2 - 1/2 = 0

Therefore, based on the benchmark estimation, the difference 17/18 - 3/7 is approximately 0.

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Answer:

3

Step-by-step explanation:

reflection keeps the same shape and size of the rectangle. length stays the same, position changes

Answer: m = 4/5

Step-by-step explanation:

Use the slope formula

\(y_{2}-y_{1}/ x_{2} - x_{1}\)

Let's plug in the points:

5 - 1 / 8 - 3

4/5

So, m=4/5

Answer:

A) \(\frac{4}{5}\)

Step-by-step explanation:

Slope formula given 2 points:
\(\frac{y_{2}-y_{1}}{x_{2}-x_1}\)

Our points are (8,5) and (3,1)

Substitute:

\(\frac{1-5}{3-8} \\=\frac{-4}{-5}\)

negatives cancel out:
=\(\frac{4}{5}\)

Hope this helps! :)

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

Answer:

y = 6x + 1 (0,2) (5,0)

Step-by-step explanation:

Really just need to pay attention where the x coordinate is at. If at 0, and the y coordinate is elsewhere, you will be able to tell where the y intercept is. Usually, you quickly draw a graph if the numbers are more complex.

Answer:

1 hour and 30 mins

Step-by-step explanation:

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Mary spend 3 hours at the gym

Sandy spend 15 minutes less

180 - 15 = 165
Sandy spent 165 minutes at the gym (2 hours and 45 minutes)

Judy spent one hour and 15 minutes less than Sandy

165 - 75 = 90

90= 1 hour 30 min

Answer:

= because 3 quarters are equal to 75 cents

Answer:

0.75 = 3/4

Step-by-step explanation:

you can view this as 4 quarters makes 1 dollar, every quarter is equal to 25c

1/4 quarters = 25

2/4 quarters = 50

3/4 quarters = 75

4/4 quarters = 100

0.75 = 3/4

Answer: .50 cents

Step-by-step explanation:
We can model the function by subtracting one number over another. \(9.70-9.20=.50\)
This gives the additional charge per minute.

Answer:

-9

Step-by-step explanation:

5(-9-4)

5(-13)

-65

4(-9+15)

4(6)

24

-65<24 so -9 is false because -65 is not smaller than 24

The solution is Option A.

The value of n which makes the inequality 5 ( n − 4 ) < 4 ( n + 15 ) false is when n = 80

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

5 ( n − 4 ) < 4 ( n + 15 )

Now , on substituting the value of n as 80 in the inequality equation , we get

5 ( n − 4 ) < 4 ( n + 15 )

when n = 80

5 ( 80 - 4 ) < 4 ( 80 + 15 )

5 ( 76 ) < 4 ( 95 )

380 = 380

So , the inequality will become false as the two sides of the equation will result in value 380 when n = 80

Hence ,

The value of n = 80 in the inequality equation 5 ( n − 4 ) < 4 ( n + 15 ) will make it false

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Answer:

Step-by-step explanation:

66643 step by step dm

Answer:

66643 pretty sure

Step-by-step explanation:

Answer:

One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction

Step-by-step explanation:

1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625

The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."

              The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.

              In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."

            Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.

           Mathematical representation:  \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)

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