Solve the inequality

2b + 5< 30

Answer:

Angle 1 = 78 degrees

Angle 2= 90 degrees.

Angle 3= 12 degrees

Step-by-step explanation:

For angle 1,

Since all opposite angles of a kite is congruent, if the opposite half of the angle is 78 degrees, then the other opposite half is also 78 degrees.

For angle 2,

Diagonals of a kite will ALWAYS form right angles, this since angle 2 is formed by intersecting diagonals, it would be 90 degrees.

For angle 3,

Opposite angles of a kite are supplementary, meaning that the two angles will form a straight line, or 180 degrees.

We know that 78 degrees is half of one opposite angle, so the opposite angle can be concluded as 156 degrees.

The other set of two angles is unknown, so we take it as this formula:

156+2x=180

We subtract 156 from 180 to cancel out the coefficient.

2x=24

Now we use the division property of equality.

2x/2=24/2

x=12.

Angle 3= 12.

Answer:

88.0 in^3 to nearest tenth.

Step-by-step explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.

Answer:

87.9 in³ OR 88.0 in³

Step-by-step explanation:

Concepts

The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

2:

Answer:

T(6,5)

Step-by-step explanation:

Solution,

Let the coordinate of T be T(a,b), where T divides a line AB internally in the ratio 5:2. Given that A is (-4,10) and B is (10,3).

From the section formula,

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Let,

(x,y)=(a,b)

(x₁,y₁)=(-4,10)

(x₂,y₂)=(10,3)

m₁:m₂=5:2

Now substitute the values.

[tex]\hookrightarrow x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}\\\\\hookrightarrow a=\frac{5\times10+2\times(-4)}{5+2},b=\frac{5\times3+2\times10}{5+2}\\\\\hookrightarrow a=\frac{42}{7},\: b=\frac{35}{7}\\\\\hookrightarrow a=6, \:b=5[/tex]

Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.

A budget is basically a financial forecast of revenue and spending for a given period.

The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.

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Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

Answer:

-0.72

Step-by-step explanation:

First we must solve what in parenthesis

Now we must convert [tex]\frac{9}{14}[/tex] to a whole number

To do that simply divide 9 by 14 and that come out as

= 0.6

Now multiply

Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is  56 days.

Given that;

If 1 project takes 14 days

4 project takes x days

x = 4 × 14 days

x  = 56 days

Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is  56 days.

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[tex]\text{Given that,}\\\\~~~~~~~\text{Area} = 25\pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r= 5\\\\\text{Now,}\\\\\text{Circumference}= 2\pi r\\\\~~~~~~~~~~~~~~~~~~~~=2\pi \cdot 5\\ \\~~~~~~~~~~~~~~~~~~~~=10\pi[/tex]

Answer: A. 42

7/8 = ?/48

8 * 6 = 48

7 * 6 = 42

? = 42

Hey there!

8!

= 8(7)(6)(5)(4)(3)(2)(1)

= 56(6)(5)(4)(3)(2)(1)

= 336(5)(4)(3)(2)(1)

= 1,680(4)(3)(2)(1)

= 6,720(3)(2)(1)

= 20,160(2)(1)

= 40,320(1)

= 40,320

Therefore, the answer should be:

40,320

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]2(n-3)=2n-6[/tex]

Step-by-step explanation:

[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]

Answer:

multiply the base of the perpendicular by its height

Step-by-step explanation:

It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

Since it's an arithmetic sequence,

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, up to

[tex]a_n = a_1 + (n-1)d[/tex]

Now, by substitution,

[tex]a_1 + a_3 + a_5 = -12[/tex]

[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]

[tex]3a_1 + 6d = -12[/tex]

[tex]a_1 + 2d = -4[/tex]

[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]

Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that

[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]

Solve for d :

[tex](4+2d) (4-2d) = -20[/tex]

[tex]16 - 4d^2 = -20[/tex]

[tex]4d^2 = 36[/tex]

[tex]d^2 = 9[/tex]

[tex]d = \pm3[/tex]

If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].

If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].

Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex].

This measure is equivalent to the length of an arc of 360º.

In this problem, we have that the radius is of r = 3m, hence the circumference is given by:

C = 6 pi m.

Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.

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16 cubes are needed to fill in the prism mad by the net.

Sure hope this helps you

Answer:

[tex]2x^2+x-3=(2x+3)(x-1)[/tex]

Step-by-step explanation:

Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:

[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]

Hope this helps! Let me know if you are still confused.

Answer:

is 3.5

Step-by-step explanation:

you need to use SOH CAH TOA

Answer:

this is how I solve it....

Answer:

13 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )

d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]

  = [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]

   = [tex]\sqrt{5^2+144}[/tex]

   = [tex]\sqrt{25+144}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

Step-by-step explanation:

the other answer is correct.

just a few words about the why :

when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.

the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).

and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.

and then we can use Pythagoras

c² = a² + b²

c = sqrt(a² + b²)

with c being the Hypotenuse.

and you see, that is exactly the so-called distance formula the other answer used.

Answer:

32

100-68=32

Step-by-step explanation:

George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.

570 = 75x + 65(x-2)

570 = 75x + 65x -130

700 = 140x

x = 5 hours

Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

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Answer:

it's a bit hard to see in green.

Answer:

729.

Step-by-step explanation:

-3 /1 =-3

9 / -3= -3

-27/9 = -3

So this is a geometric sequence with common ratio r = -3.

First term a = 1 so

nth term = ar^(n-1)

               =  1(-3)^(n-1)

7th term  =  1(-3)^(7-1)

                =  (-3)^6

                 =  729.

Answer: Heyaa! ~

1.36 rounded to the nearest integer is 1!

Step-by-step explanation:

Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.

Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):

Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.

In short: 1.36 rounded to the nearest whole number is 1.

Hopefully this helps you! ~

Answer:

1 Truncation

Truncation is a method of approximating numbers. It is easier than rounding, but does not always give the best approximation to the original number. Truncation is used in computing when division is done with integers and the answer must be an integer.

Step-by-step explanation:

Answer:

350 dollars

Step-by-step explanation:

We're given:

First, find the total cost for student tickets:

Therefore, the total cost for student tickets was 170 dollars.

Now, find the total cost for adult tickets:

Therefore, the total cost for adult tickets was 180 dollars

To find the total cost for the museum tickets, find the sum:

180 + 170 = 350 dollars

Therefore, the museum tickets cost 350 dollars in total.

Answer:

Below.

Step-by-step explanation:

You have a data point 5 to the left.

So you would move another data point 5 units to the right - like for example 14 to 19.

In the design of a package, things to take into consideration are:

The most cost effective and efficient to pack 12 golf balls is through the  use of a small golf bag or a small box that is made specially for that purpose.

The design of the box will be in a rectangle shape where there will be two rows of which the ball is made to fit in till the 12 balls are completely inside the box. The lock is automatic and it is one that can be easily closed and opened easily when one wants to take a ball.

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p (a vanilla cookie) = 6/19

p (a chocolate or lemon cookie) = 13/19

p (not a lemon cookie) = 10/19

p (a vanilla or chocolate or lemon) = 10/19

p (a peanut butter cookie) = [There's no peanut in the info you gave, sorry]

If you can simplify the fractions, then simplify

Answer:

The answer is 28. It is easy.