Solve the following inequality

Answer:

12 inches

Step-by-step explanation:

Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.

The perimeter is the sum of the bases.

p=3+4+5=12 inches

Lateral Surface Area =12(8)=96  inches2

Answer:

Angle 6= 109
Angle 6= 71

Step-by-step explanation:

Angle 4 and Angle 2 are equal because they are vertical angles, Angle 2 is also 109, Angle 6 is corresponding to angle 2, meaning angle 6 is also 109. To figure out angle 7 you simply do 180-109=71 and you get 71 for angle 7

Answer:

Step-by-step explanation:

<6 is the same since they are alternate interior angles meaning <6 is 109 degrees

7 is going to be a little more complicated.

180-109=71

<1,2,3 and 4 all share similar angles. 1 and 3 are similar, meaning 2 and 4 are also.

If 2 is 4 (109), then this means that 7 is 109 as it is the alternate exterior angle.

Find length FD

FD is Opposite

BD adjacent

O + A is Toa

Tan20 = o/9

x9

9 x Tan20 = o

O = 3.2757.... (ans)

Opposite/ FD is 3.28cm to 2.p.d

Draw diagonal line from A to D & find its length - that's the hypotenuse of a right-angle created

Use Pythagoras Theorem

a^2 + b^2 = c^2

25^2 + 9^2 = c^2

Square root both sides to get c

C = root 25^2 + 9^2

= root 706

= 26.57066...(ans)

AD is 26.57cm

Now create another right-angle triangle A to F to D back to A.

Label dimensions found such as the Length of AD to be 26.57.. Plus, FD to be 3.28.

Use trig for angel FAD:

Opposite of triangle is 3.28

Adjacent is 26.57

So, OA means Toa, but we're after an angle & have to use tan inverse instead.

Tan-1 (3.28/26.57) = 7.0374..

So, the angle is 7.04 degrees.

(ans) - ignore, I did use rounded figures in my ans, I was originally not going to, but I did.

Hope this helps!

Answer:

center of the circle is (5, -3) and radius of the circle is 8 units

Step-by-step explanation:

Find the center of the circle given by this equation:

x²-10x+y²+6y-30=0

for x

b= -10

for y

b=+6

complete the square

for x

(-10/2)² = 25

for y

(6/2)²=9

x²-10x+25

y²+6y+9

(x²-10x+25)+(y²+6y+9)+30=0+25+9

(x²-10x+25)+(y²+6y+9)=25+9+30

(x-5)²+(y+3)²=64

This is the form of a circle. Use this form to determine the center and radius of the circle

(x − h)² + (y − k)² = r²

Circle Equation

(x-a)² + (y−b) ² = r² is the circle equation with a radius r, centered at (a, b)

Rewrite x² - 10x + y² + 6y - 30 = 0 in the form of the standard circle equation

(x − h)² + (y − k)² = r²

(x - 5)² + (y-(-3))² = 8²

(x-5)² + (y+3)² = 8²

r=8

h=5

k=-3

signs of h and k are opposite of what they are inside the parenthesis

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x- offset from the origin, and k represents the y-offset from origin.

r=8

h=5

k=-3

https://brainly.com/question/19375747

expii

Brian McLogan

Alex Federspiel

Answer:

To find the area of the hexagon,we will first find the area of each equilateral triangle then multiply it by 6.

Answer:

Step-by-step explanation:

3.5% to a decimal is 0.035 because its divided by 100.

Add 1 to 0.035 because its a positive interest.

Multiply 5000 times 1.035

You get $5175

Hope this helps.

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

3 3/4 pounds of rice divided equally in 4 containers.

the amount of ounces of rice each were in.

33/4 ÷ 4 pounds

= (4 × 3 + 3)/4 ÷ 4 pounds

= 15/4 ÷ 4 pounds

= 15/4 × 1/4 pounds

= 15/16 pounds

so, now:

1 pound = 16 ounces

hence, 15/16 pounds = 15/16 × 16 ounces

= 15 ounces

Answer:

2496 is the volume

Step-by-step explanation:

The height of the tank is 13, the water level is 3 inches below that so the height of the water would be 10 (13-3 = 10)

volume = length x width x height:

Volume = 24 x 8 x 10 = 1,920 cubic inches

1 gallon = 231 cubic in.

1920/231 = 8.31 gallons

Answer:

626

Step-by-step explanation:

Answer:

the Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles.The four triangles are congruent with each other regardless whether they are rotated or flipped.The congruence of two objects is often represented using the symbol. △ABC  △DEF.the lengths of the corresponding sides and measures of the corresponding angles do not have to be explicitly shown to indicate congruence.

Step-by-step explanation:

hope this helps if not please let me now

Answer: the is c

Step-by-step explanation:  good luck !

Answer:

28.5 inches

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IF IT'S CORRECT!

Answer:

I think its B

Step-by-step explanation:

Answer: B)14 hours open

(14+14)/2 =14

Step-by-step explanation:

15,15,8,12,12,14,14,16,8,17,18,15,12,

8,8,12,12,12,14,14,15,15,16,17,18

(14+14)/2 =14

Answer:

85

Step-by-step explanation:

Answer:

6.48m

Step-by-step explanation:

If you look at the values, you'll notice that the top 2 triangles have the same values and the bottom 2 triangles have the same values.

Area(Kite)=Area(Top Triangles)+Area(Bottom Triangles)

Area(Kite)=Area(15*18cm)+Area(21*18cm) (You can plug it in like a rectangle since their is 2 of each triangle)

Area(Kite)=270cm+378cm

Area(Kite)=678cm

Don't forget they asked it in Meters not Centimeters!

So...

The area of the kite is 6.48m

Answer:

6.48 sq. meters

Step-by-step explanation:

Let's split the kite into 2 parts. The bottom triangle and the top triangles.

Let's find the values of the bottom two triangles first. Both triangles have the same lengths and widths so their area will be the same too. The equation for the area of the triangle is (L*W)/2. The length is 21 and the width is 18. (21*18)/2=189. So since there are 2 triangles, you do 189*2= 378.

Let's find the values of the top two triangles. Since both of them have the same length and width, their areas will be the same too. Since we know the equation, let's use that to solve this problem. The length is 15 and the width is 18. (15*18)/2=135. So since there are 2 triangles, you do 135*2=270.

Now we have to add the areas of the 4 triangles together. 270+378=648 cm. But the answer has to be in meters so the answer is 6.48 since 1 cm = 0.01 m.

Sorry for the long explanation, I was trying to show my work so you would understand!

Answer:

2/3.

Step-by-step explanation:

Full revolution = 12 hours

11 - 3 = 8 hors

So it is 8/12 = 2/3 of a revolution.

Answer:

C

Step-by-step explanation:

trust me bbg I know what I'm talking about

Answer:

need to know more

Step-by-step explanation:

Answer:

x=[tex]\sqrt{7}[/tex]

Step-by-step explanation:

use the pythagorean theorem

since the two sides are the same you  

[tex]2x^{2} =14\\x^{2} =7\\x=\sqrt{7}[/tex]

Answer:

Another method to graph a line in the xy-axis or xy-plane is to use its intercepts. What are intercepts? These are points of the line that are found on the xx and yy axes. There are two kinds of intercepts.

The first one is called the x-intercept because it is the point of the line located on the horizontal axis (x-axis).

The second is the y-intercept which is the point of the line located on the vertical axis (y-axis).

Step-by-step explanation:

Answer:

180/19

Step-by-step explanation:

(10x)/15+(9x)/15＝5+7

19x＝12(15)

x＝180/19

Answer:

It's technically the same thing, because if we solve both of these the answer would be same.

First one says 70 percent part of 7 and the other one says 7 percent part of 70. However, if we solve both of these the answer will be same:

i) 70% of 7

= (70/100) × 7

= 4.9 answer

ii) 7% of 70

= (7/100) × 70

= 4.9 answer

So, here as you can see, through both the equations we get the same answer, which is 4.9 .

This is one of the basic principles of multiplication actually, where:

a × b = c

b × a = c

Therefore,

a × b = b × a

Hope that helps...

Answer:

x = 24

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )

x = 2 × 12 = 24

multiplication .

We need to use multiplication in order to get rid of the fraction and solve for x .

Remember that in mathematics we can't just get rid of fractions without altering the maths problem , so we multiply both sides by the denominator of the fraction , which is 2 .

x/2 = 12

[tex]\blue{\mathtt{x\:=\:24}}[/tex]

[tex]\small\text{hope\;helpful~}[/tex]

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

Answer:

b 205

Step-by-step explanation:

would be the closest answer.

Hope this hlepsss!

Answer:

Fraction: 23/18

Radians: 23π/ 18

Step-by-step explanation:

A semi circle is 180 degrees, so 230 degrees of a semi circle would be 230/180, or 23/18.

To convert degrees to radians, do the degree times π/180, so the answer is 23π/18