The figure below is made of two identical triangular prisms. What is the volume of the figure?

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

Answer:

80°

Step-by-step explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

∠ABC= 2*4x= 8x= 80°

Answer:

I believe the answer will be 36 for the dog legs.

Step-by-step explanation:

first you get a calculator

then you type in 18 divided by 50

then you hit enter

then the answer will come up as 0.36

Answer:

see below

Step-by-step explanation:

Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.

Answer:

Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.

Answer:

Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.

So cos(28) = 11/x

Multiply by x

Then you'll get xcos(28) = 11

Do oposite cosine and you'll get

x = 11*opposite cos(28)

opposite cosine means cos^-1

thats approx. equal to 12.46 units

Answer:

no complex zeros.

Step-by-step explanation:

The given equation is

[tex]y=x^5[/tex]

To find the zeros equate y=0.

[tex]x^5=0[/tex]

We know that, if n>0, then

[tex]x^n=0\Rightarrow x=0[/tex]

So,

[tex]x^5=0\Rightarrow x=0[/tex]

It means zero or root of the given equation is 0 with multiplicity 5.

Therefore, the given equation have no complex zeros.

Answer:

Proved

Step-by-step explanation:

Given:

To Prove: m∠AEB = 45°

From the diagram, ∠CED is a right angle, which measures 90 degrees.

Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.

A bisector cuts the angle measure in half.

Therefore m∠AEB = 45°.

Answer:

answer below.

Step-by-step explanation:

Answer:

[tex]x_{1} =-\frac{9}{2} \\x_{2} = \frac{9}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 = 76 + 5\\4x^2 = 81\\x^2 = \frac{81}{4}\\ x = |\frac{9}{2}|[/tex]

Answer:

X = 9/2

Step-by-step explanation:

4x² - 5 = 76

4x² = 76 + 5

4x² = 81

4x² = 9²

(2x)² = 9²

2x = 9

X = 9/2

Answer:

The rent is the same when 2 months have passed.

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Step-by-step explanation:

Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.

The Resort complex:

[tex]c_{resort}(t) = 600 + 950*t[/tex]

The Uptown Suites Duplex:

[tex]c_{uptown}(t) = 300 + 1100*t[/tex]

To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:

[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]

The rent is the same when 2 months have passed.

If she intends to live in them for 6 months, the cost of each are:

[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]

[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Answer:

  b. about 91.7 cm and 44.6 cm

Step-by-step explanation:

The lengths of the diagonals can be found using the Law of Cosines.

Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).

For diagonal "d" and sides "a" and "b" and corner angle D, we have ...

  d² = a² +b² -2ab·cos(D)

The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...

  d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)

  d² ≈ {1988.2, 8411.8}

  d ≈ {44.6, 91.7} . . . . centimeters

The diagonals are about 91.7 cm and 44.6 cm.

Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry

The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.

The mortgage is a type of loan which is taken to purchase the home or lands.

In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,

[tex]M=\dfrac{39600}{4}\\M=9900[/tex]

There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,

[tex]M=\dfrac{9900}{12}\\M=825[/tex]

Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.

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Answer:

Since the first number after the decimal is lower than 5, you would need to round down.  So the answer would be 17(not 18).

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Divide the list of numbers in half.

Since there are 9 numbers (odd number), divide like this :

14, 18, 20, 21      25       32, 42, 46, 48

Find the median of the third one. 

(46 + 42)/2 = 44

So the answer is 44

Hope this helped!

please mark me brainliest :)

Answer:

48

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

Answer:

I don't know if it's too advanced for you but you could use the arctangent function.

[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]

Step-by-step explanation:

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

Alternatively, the area can be found by calculating one-half of the side length times the apothem.

Hope this helps you.

Answer:

45/12

Step-by-step explanation:

first open the brackets +(-5½)= -5½

-7⅔-5½+8¾ put liketerms together

8¾-5½-7⅔

(find the LCM of the denominator 4,2,3 that is 12)

change the improper fraction to proper fraction 35/4-11/2-23/3.

(multiply by the 12 to make the denominator same)

(35/4x12)-(11/2x12)-(23/3x12)

105-66-92 = -53/12

12

=-45/12

On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.  The number on the bottom of the line is called the denominator.

Given is the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

We have the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

On solving, we get -

- 23/3 - 11/2 + 35/4

35/4 - 23/3 - 11/2

(105 - 92 - 66)/12

(105 - 158)/12

-53/12

-4[tex]\frac{5}{12}[/tex]

Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

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Answer:

12 inches

Step-by-step explanation:

A=0.5bh

A=0.5xh

60=0.5*10*x

60=5x

5x=60

x=12

Answer:

I deserve brainliest just as all good boys deserves fudgeeeeee

Step-by-step explanation:

v^2 = 25/81

v= the square root of 25/81 = 5/9

since that isn't a choise, don't simplify.

D works too  because negative x negative = positive

CCCCCCC

Answer:

C & D

Step-by-step explanation:

[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]

Step-by-step explanation:

1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.

Answer:

I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.

Step-by-step explanation:

136/1035

plz mark brainliest if this is the question.

Step-by-step explanation:

Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°

Answer:

a = 20

Step-by-step explanation:

The angles form a straight line, which is 180 degrees

3a + 2a + 4a = 180

Combine like terms

9a = 180

Divide by 9

9a/9 =180/9

a = 20

Answer:

x2-x-8=0

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -1 .

     -8    +    1    =    -7  

     -4    +    2    =    -2  

     -2    +    4    =    2  

     -1    +    8    =    7  

Answer:

Just took it!

Step-by-step explanation:

The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:

Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}

Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}

Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}

Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}

Therefore, the solution to the system is (x, y) = (2, -2).

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Answer:

A(r)=15-3r

Step-by-step explanation:

switch the sign of 3r to make it -3r

Answer:

B 2/ 1/2

Step-by-step explanation:

becuase it points into the middle of 2 and 3

and thats how got B

hope this helps

Answer:

76 on second exam, 80 on third exam

Step-by-step explanation:

First, find the total of all 3 test scores by multiplying the average by the number of elements. 81 · 3 = 243.

The first score is 83 so 243 - 83 = 160. 160 is the other two test scores combined.

To find the other 2 scores, divide 160 by 2, which is 80.

The second score is 4 less so it will be 76. The third score is 80.

Answer:

y<-18

Step-by-step explanation:

Hey there! I'm happy to help!

We see that it takes 15 minutes to eat 6 apples. But, we want to find how long it takes to get to sixteen apples. We need to multiply this by something to get our six apples to sixteen. Let's divide 16 by 6 to find what we need to multiply by.

16/6= 2 2/3

So, if we need to multiply our number of apples by 2 2/3 to get to sixteen, we also need to multiply our minutes by 2 2/3.

15(2 2/3)= 40

Therefore, it takes Ritz 40 minutes to eat sixteen apples at this rate.

One trick to solve problems like this fast is to multiply the two different things you see (minutes and apples) and then divide by the other thing you see (apples in this case). Then, you get the minutes.

15(16)=240

240/6=40

I hope that this helps! Have a wonderful day!

Answer:

40 minutes

Step-by-step explanation:

using the converstion factor

                  15min           15min times16         240

16ap. times                 =                             =                = 40

                  6 apples                6                       6

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242