What are the measures of angles 1,2, and 3?

Answer:

17

Step-by-step explanation:

17 is half of 34 therefore it is 17

Answer:

The area of the trapezoid is 22.5 square miles.

The perimeter of the trapezoid is 22.5 miles.

Step-by-step explanation:

Recall that the area of a trapezoid is given by:

[tex]\displaystyle A = \frac{1}{2}(b_1+b_2)h[/tex]

Where b₁ and b₂ are the two parallel bases and h is the vertical height between them.

The two bases are 5.5 mi and 3.5 mi and the vertical height between them is 5 mi. Hence, the area of the trapezoid is:
[tex]\displaystyle \begin{aligned} A & = \frac{1}{2}(5.5+3.5)(5) \\ \\ & = \frac{1}{2}(9)(5) \\ \\ & = \frac{45}{2} \\ \\ &= 22.5\text{ mi}^2\end{aligned}[/tex]

The perimeter of the trapezoid is simply the sum its four sides. Hence:
[tex]\displaystyle \begin{aligned} P & = (5.5) + (6) + (7.5) + (3.5) \\ \\ & = 22.5\text{ mi} \end{aligned}[/tex]

Therefore, the area and perimeter of the trapezoid is 22.5 square miles and 22.5 miles, respectively.

Answer:

11.25 cups or simplified 11 1/4 cups

Step-by-step explanation:

you do 2 1/4 times 5

Answer:

[tex]11\frac{1}{4}[/tex]

Step-by-step explanation:

Given the following question:

[tex]2\frac{1}{4} \times5[/tex]

Each serving takes 2 1/4 cups of fruit...
How much to make 5 servings?

To find the answer we will have to multiply 2 1/4 by 5, since we are trying to find out how much it would take to make 5 smoothies.

[tex]2\frac{1}{4} \times5[/tex]
[tex]2\frac{1}{4} =4\times2=8+1=9=\frac{9}{4}[/tex]
[tex]\frac{9}{4} \times5[/tex]
[tex]5=\frac{5}{1}[/tex]

[tex]\frac{9}{4} \times\frac{5}{1}[/tex]
[tex]9\times5=45[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{45}{4}[/tex]

Convert into mixed number:
[tex]\frac{45}{4}[/tex]
[tex]=\frac{45}{4}=45\div4=11\frac{1}{4}[/tex]
[tex]=11\frac{1}{4}[/tex]

Which means in order to make 5 servings of the smoothie, we need "11 1/4 cups" of fruit.

Hope this helps.

Answer:

Step-by-step explanation:

226-230= (-4)

226-(-4)

=226+4

=230

tn= -4n+234

Listen to peoples problems, care about them and give advices.

the answer is 6/5. It is positive.

Answer:

need to sell 97 bottles of water

Step-by-step explanation:

36.75 + 180 = 2.25x

216.75 = 2.25x

divide both sides by 2.25

x = 96.33333

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

Answer:

x int: (4,0)

Step-by-step explanation:

make y=0

x^2-4x=0 add 4 to both sides

x^2=4x divide by x

x=4

Answer:

10 ≤ x ≤ 10

explanation:

Let the total tomato number be x

so inequality:

6 + 4 ≤ x ≤ 6 + 4

10 ≤ x ≤ 10

Answer:

[tex]n_t \geq 10 [/tex]

Step-by-step explanation:

Here it is given that there are at least 6 tomato plants in Josephine's garden. And she plants 4 more plants . We would like to plot a graph and write a inequality for the given situation.

Representation :-

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(.5,0){17}{\line(0,1){.2}}\put(5,0.1){\vector(-1,0){6}}\put(5.01,0.1){\vector(1,0){4}}\put(-0.5,-0.4){$\sf -2$}\put( 0.2,-0.4){$\sf -1$}\put(.9,-0.4){$\sf 0$}\put(1.4,-0.4){$\sf 1$}\put(1.9,-0.4){$\sf 2$}\put(2.4,-0.4){$\sf 3$}\put(2.9,-0.4){$\sf 4$}\put(3.4,-0.4){$\sf 5$}\put(3.9,-0.4){$\sf 6$}\put(4.4,-0.4){$\sf 7$}\put(4.9,-0.4){$\sf 8$}\put(5.4,-0.4){$\sf 9$}\put(5.8,-0.4){$\sf 10$}\put(6.4,-0.4){$\sf 11$}\put(6.9,-0.4){$\sf 12$}\put(7.4,-0.4){$\sf 13$}\put(7.9,-0.4){$\sf 14$}\put(6,0.1){\circle*{0.2}}\put(6.01,0.4){\vector(1,0){4}}\put(2,2){$\textcopyright\sf RISH4BH $}\end{picture}[/tex]

Let the number of tomatoes be represented by [tex] n_t [/tex] .

We can write the first statment in inequality as ,

[tex]\longrightarrow n_t \geq 6 [/tex]

Since she added 4 more , add 4 to RHS ,

[tex]\longrightarrow n_t \geq 6 + 4 [/tex]

Simplify,

[tex]\longrightarrow \underline{\underline{\boldsymbol{ n_t \geq 10 }}}[/tex]

And we are done!

Answer:

3 is D    4 is B

Step-by-step explanation:

Source: trust me bro

Answer:

3) A

4) B

Step-by-step explanation:

Just substitute the values given for the variables.

Use your calculator and get your answer.

Answer:

11

Step-by-step explanation:

find HCF using factor tree

99={3×3×11}

33={3×11}

121={11×11}

HCF =11

Answer:

11.6

Step-by-step explanation:

11.6-8=3.6

3.6x5=8

Answer:

Step-by-step explanation:

you could subtract and divid

Divide it by 1,000. One kilogram equals one thousand grams. This means that to get a pound of gram, you only have to divide the gram by 1,000.

Answer:

Step-by-step explanation:

31 is the answer

Answer:

L = length, W = width and P = perimeter

L = 3W + 18

Perimeter = 116 = 2(L + W) , i.e. L + W = 58

Now substitute

3W + 18 + W = 58

4W = 40

W = 10

L = 48

Step-by-step explanation:

If the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. Fine the dimensions

L = length, W = width and P = perimeter

L = 3W + 18 -------- (1)

Perimeter = 116

Perimeter  = 2(L + W)

L + W = 58

Put the value in equation 1,

3W + 18 + W = 58

4W = 40

W = 10

L = 48

Thus, if the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

Answer:

  156.654

Step-by-step explanation:

The standard algorithm multiplies the integers as shown in the attachments, then places the decimal point in the result. Either factor can be used as multiplier or multiplicand.

For this problem, it might be easier to use 162 as the multiplier of 967, so the partial products are easier to form and check. This is shown in the second attachment. The first partial product is double the multiplicand; the second partial product is 3 times that value, and the third partial product is simply the multiplicand. In other words, you can choose the order of the numbers so as to make the effort easier.

The result is the sum of the partial products, with three decimal places: 156.654.

_____

Additional comment

One must be careful with the decimal point when the numbers contain factors of 2 and 5. The trailing zeros must be maintained until the decimal point is placed. For example, 0.25 × 0.4 = 0.100. The trailing zeros count in the total of 2+1=3 decimal places.

Explanation:

Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.

The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.

Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.

The same set of steps will have us construct point C' as well. AC doubles to AC'

Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.

Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.

Answer:

The answer is 4/10

Step-by-step explanation:

If you add all marbles in both bags it equals 40. There are 10 pink marbles in both so 40 / 10 is 4 and the denominator would be 10. 4/10

Answer:

The odds of getting a pink marble from the 1st bag are 7/21, .333 repeating, or approximately 33%.

The odds of getting a pink marble from the 2nd bag are 3/19, .158, or approximately 16%

Step-by-step explanation:

There are a total of 21 marbles in the first bag, and only 7 pink marbles. This means that when you reach into the bag, your odds are 7 out of 21 to select a pink marble. When divided, this can be changed to a percent or decimal.

There are a total of 19 marbles in the second bag, and only 3 pink marbles. When you reach into this bag, your odds are 3 out of 19 to select a pink marble. You can also divide this to become a percent or decimal.

Probability is often calculated in fraction or decimal form. If I flip a coin the odds of getting tails are 50% percent because there are only two possible outcomes, and tails is one of them. This gives you the fraction 1/2 (one-half), which is 50% when reduced.

Answer:

A

Step-by-step explanation:

Find the boundary line and shade the area related.

Answer:

- 7 < x < 4

Step-by-step explanation:

- 6 < 2x + 8 < 16 ( subtract 8 from each interval )

- 14 < 2x < 8 ( divide each interval by 2 )

- 7 < x < 8

Answer:

I think it is d that's the right answer

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

[tex]p=2^d[/tex]

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

=======================================================

Explanation:

Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.

The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.

------------

The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.

This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.

-------------

The axis of symmetry is the vertical line that passes through the vertex.

As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.

In the graph below, the axis of symmetry is the red dashed line.

-------------

There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.

Therefore, any x value is allowed and the domain is the set of all real numbers.

-------------

The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger

Therefore, [tex]y \ge 1[/tex] is the range.

Answer:

10 gallons of water

Step-by-step explanation:

4 divided by 24 equals 0.167 gallons per hour

0.167 times 60 equals 10 gallons in 60 hoursd

The price of Andrea's tacos is four times of tip be 2 dollars which is 8 dollars.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Andrea bought tacos from a food truck and left a 25 %, 25 percent tip of $2.

The tip is 2 dollars for 25 %. Then the tip will be x for 100 %.

[tex]\rm \dfrac{x}{100} = \dfrac{2}{25}\\\\x \ \ \ \ = 8[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762