The figures are not drawn to scale. PQ and MN are straight lines. Find

Answer:

Step-by-step explanation:

8•6= 48•5=240 divided by 3= 80

The volume of the rectangular pyramid is 80 cubic centimeter.

Volume is the measure of the capacity that an object holds.

[tex]v = \frac{lwh}{3}[/tex]

Where,

V is the volume of the  rectangular pyramid

l is the base length

w is the base width

h is the Pyramid height

According to the given question

We have

Base length of the rectangular pyramid = 8cm

Base width of the rectangular pyramid = 6cm

And the height of the rectangular pyramid  = 5cm

Therefore,

The volume of the rectangular pyramid is given by

V = [tex]\frac{(8)(6)(5)}{3}[/tex]

⇒ V = 8 × 2 × 5

⇒ V = 30 cubic centimeter

Hence, the volume of the rectangular pyramid is 80 cubic centimeter.

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Answer:

Step-by-step explanation:

Apply sine formula:

[tex] \frac{sin \: a}{a} = \frac{sin \: b}{b} = \frac{sin \: c}{c} [/tex]

[tex] \frac{sin \: a}{a} = \frac{sin \: c}{c} [/tex]

Plug the values

[tex] \frac{sin \: (88)}{6.9} = \frac{sin \: x}{5} [/tex]

Apply cross product property

[tex]5 \: sin \: (88) = 6.9 \: (sin \: x)[/tex]

[tex] \frac{5 \: sin \: (88)}{6.9} = sin \: x[/tex]

[tex]x = {sin}^{ - 1} ( \frac{5 \: sin \:( 88)}{6.9} )[/tex]

[tex]x = 46.4[/tex]

Hope this helps .....

Best regards!!!

Answer:

x = 46.37 degrees

Step-by-step explanation:

Using cosine rule

[tex]c^2 = a^2+b^2-2abCosC[/tex]

Where a = 5 , b = 6.9 , c = 5 and C = x (Unknown)

In the cosine rule, a and b are the sides containing the angle and c is the opposite side of the angle C

Plugging in the values:

[tex]5^2 = 5^2+6.9^2-2(5)(6.9)Cos x[/tex]

=> [tex]25 = 25 + 47.62-2(34.5)Cosx[/tex]

=> [tex]25 = 72.61 - 69 Cos x[/tex]

Subtracting 72.61 to both sides

=> [tex]25-72.61 = -69Cos x[/tex]

=> -47.61 = -69 Cos x

=> 47.61 = 69 Cos x

Dividing both sides by 69

=> Cos x = 0.69

Multiplying both sides by [tex]Cos^{-1}[/tex]

=> x = [tex]Cos^{-1}0. 69[/tex]

=> x = 46.37 degrees

Answer:

$-9125

Step-by-step explanation:

6.25÷100 = 0.0625                                    50×12=600

0.0625×250= $15.625

6.25%=$15.625

15.625×600= $9375

$250-$9375=  -9125

The account be worth at the end of the 50-year period will be 9125 dollar.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that savings account is opened with an initial deposit of $250, and interest is compounded monthly at 6.25% for 50 years.

The rate is 6.25÷100 = 0.0625                                    

Therefore, 50×12=600

0.0625×250= $15.625

Since we know that 6.25%=$15.625

15.625×600= $9375

Thus we get;

$250-$9375 = -9125

Hence, the account be worth at the end of the 50-year period will be 9125 dollar.

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Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

Answer:

BV

Step-by-step explanation:

i think is the missing gap

Answer:

none

Step-by-step explanation:

the man is carrying 3 sacks

each has 30 coconuts

so at total he has 90 coconuts:  30*3= 90  

he passe through 30 checkpoints

ha has to give 1 coconut for each sack

so he gives 3 coconuts each time: 3*1=3

there are 30 ckeckpoints so : 3*30= 90

he has spent all the coconuts unless he has a trick

He starts with 3 sacks with 30 in each sack.

He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.

The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.

Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.

Giving away 1 coconut at those checkpoints, he would have 25 left

Answer:

x = - 3, x = 0.5

Step-by-step explanation:

Given

10x² + 5x - 15 = - 12 + 8x² ( subtract 8x² from both sides )

2x² + 5x - 15 = - 12 ( add 12 to both sides )

2x² + 5x - 3 = 0 ← in standard form

(x + 3)(2x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

Answer:

a=148.50

b=0.045

c=8

Step-by-step explanation:

i just took the quiz on edgeunity

All the value of variables are,

a = 148.50, b = 0.05, and c = 8

Now, For the values of a, b, and c in the table, we can use the formula for simple interest:

I = Prt

where I is the interest earned in dollars,

P is the principal in dollars,

r is the interest rate per year as a decimal, and t is the time in years.

Hence, By Using this formula, we can solve for the missing values in the table as follows:

For the first row, we have

P = 3300, r = 0.045, and t = 1.

We can plug in these values and the given value of a = into the formula to solve for a:

a = Prt

a = 3300 x 0.045 x 1

a = 148.50

Therefore, a = 148.50 for the first row.

For the second row, we have P = 3300, t = 3, and I = 445.50.

We can plug in these values and solve for r:

I = Prt

445.50 = 3300 x r x 3

r = 0.05

Therefore, b = 0.05 for the second row.

For the third row, we have P = 3300, t = 7, and I = 1039.50. We can plug in these values and solve for r:

I = Prt

1039.50 = 3300 x r x 7

r = 0.045

Therefore, c = 7 for the third row.

For the fourth row, we have P = 3300, t = c, and I = 1188.00. We can plug in these values and solve for c:

I = Prt

1188.00 = 3300 x 0.045 x c

c = 8

Therefore, c = 8 for the fourth row.

Thus, we have a = 148.50, b = 0.05, and c = 8 to complete the table.

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Answer:

3x( 3x -2)

Step-by-step explanation:

(3x) ^2 - 6x

9x^2 -6x

The greatest common factor is 3x

3x( 3x -2)

Answer:

Well there is actually no difference between addition and multiplication Multiplication is defined as repetitive addition. What is 9+9+9+9+9+9….. (900 times) ? You won't add the numbers individually as it's too long. Instead we would rewrite it as 9 * 900 = 8100

Answer:

The basic difference is: addition is a of process repetitive addition Step-by-step explanation: Ex: 2+2+2+2+2=10

where as multiplication is a process of direct sum of the number of times the numerals appear in the progression: Ex: 2+2+2+2+2 can be solved by mulplying the number 2 by 5 times or 2*5=10.

Hope that helps! Stay safe!

Answer:

A

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

Answer:

P - 5

Step-by-step explanation:

hello

original price is P

$5 discount means that the final price is P - 5

hope this helps

Answer:

p-5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

She earns $3,567 and spends $2,895.  That means that $2,895 is taken away from how much she earns each month.  Subtraction is the correct operation, cancelling out choices B and D

$3,567 - $2,895

Now, you need to figure out the answer to the above problem.  Choice C is your answer.

$3,567 - $2,895 = $672

Answer:

208cats

Step-by-step explanation:

⅝=tongue

³/16=straw=39cats

⅝+³/16=13/16

meaning total number of cats is 16/16

If ³/16=39cats

16/16=?

39×16/3

=208cats

Answer:

[tex]\boxed{\sf \ \ \ g^{-1}(x)=\sqrt{\dfrac{x+5}{3}} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x=(gog^{-1})(x)=g(g^{-1}(x))=3(g^{-1}(x))^2-5\\\\<=>3(g^{-1}(x))^2 = x+5\\\\\\<=> (g^{-1}(x))^2=\dfrac{x+5}{3}\\<=>g^{-1}(x)=\sqrt{\dfrac{x+5}{3}}[/tex]

hope this helps

The inverse of function is x= √1/3( y+5 )

A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g(y), a function g is the inverse of a function f. . Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.

Given:

g(x) = 3x² - 5

To find the inverse of the function take g(x) = y

Then, solve for x

y=  3x² - 5

y + 5=  3x²

x² = 1/3( y+5 )

x= √1/3( y+5 )

Hence, the inverse of function is x= √1/3( y+5 ).

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:

Sample Programmed Instructions Lecture TV Group Discussions

1 6 8 7 8

2 7 5 9 5

3 6 8 6 6

4 5 6 8 6

5 6 8 5 5

At the 0.01 level, what is the critical value?

a. 5.29

b. 1.00

c. 3.24

d. 1.96

Answer:

The correct option is (a)

The critical value is 5.29

Step-by-step explanation:

To obtain the critical value, we need to perform a satistical test on the given data.

Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.

ANOVA:

The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.

ANOVA in Excel:

Step 1:

In the data tab, select data analysis

Step 2:

Select "Anova single factor" from the analysis tools

Step 3:

Select the destination of input data in the "input range"

Step 4:

Select "columns" for the option "Group By"

Step 5:

Tick the option "labels in first row"

Step 6:

Set alpha = 0.01

Step 7:

Select the destination of output data in the "output options"

Output results:

Please refer to the attached results

As you can see in the output results, the critical value is 5.2922

Therefore, the correct option is (a)

Answer and Step-by-step explanation:

When angle 1 is contrary to angle 2 the adjacent sides are parallel or identical instead. The diagonal from 1 is completely consistent with the other 2nd angle by different outward.

ASA produces two strong or contrugent triangles on the diagonal if both angle 1 and 2 are opposing one another.

Therefore ABCD is a parallelogram

Answer:

Option C is the correct option.

Please see the attached picture for full solution.

Hope it helps ...

Good luck on your assignment...

Answer:

300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.

when t = 5, it equals $275

when t = 10, it equals $250

when t = 15, it equals $225

when t = 20, it equals $200

Step-by-step explanation:

Answer:

$3,131

Step-by-step explanation:

1% of 3,100 is 31.  3,100 + 31 = 3,131.

Answer:

Step-by-step explanation

There are 8 boys and 6 girls and you have to choose 3 of each to go on the picnic. You can do this by doing: 8C3 x 6C3. This equal 56 x 20. So the answer to PART A: 1120 WAYS THE PICNIC TEAM CAN BE FORMED, PART B: 1120 WAYS THE EDUCATION TOUR CAN BE FORMED

this is because if you already choose the picnic team, then the rest of the kids just go to the tour, so the answer is the same for both (1120 ways)

Answer:

C/2pi = r

Step-by-step explanation:

C = 2 pi r

divide with 2 pi on both sides to solve for r

C/2pi = r

Answer:

L''(3,2), M''(0,2), N''(0,-2), O''(3,-2)

Step-by-step explanation:

The points that you start off with are L(-4,6), M(-1,6), N(-1,2), and O(-4,2), and when you reflect the rectangle across the y-axis, you will have (4,6), (1,6), (1,2), and (4,2). Now you can translate your rectangle down four and once to the left, which will give you L''(3,2), M''(0,2), N''(0,-2), O''(3,-2).

→Answer:

3.2 liters of lemonade were consumed during the party.

→Step-by-step explanation:

What we know

_____________________________________

Well there is 2,500 mL of strawberry lemonade

There are  2 liters of cherry

There are 5 deciliters of dog limeade

_____________________________________

So the 5 deciliters of dog limeade doesn't count because it is limeade, not lemonade.

The question is asking for the number of liters so we need to convert the 2,500 milliliters of lemonade to liters.

Which will be 2.5 liters of lemonade.

There are also 2 liters of cherry lemonade so 2.5 + 2 is 4.5.

So if 1.3 liters were left over doing 4.5 - 1.3 we get 3.2, meaning 3.2 liters of lemonade were consumed during the party.

Answer:

24

Step-by-step explanation:

You don't really need to do a permutation here. We know that there are 4 options for digits and three places so therefore we have 4 choices for the first digit, 3 for the second and 2 for the last so the answer is 4 * 3 * 2 = 24.

Answer:

5.8 * 10^26 kg

Step-by-step explanation:

If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth

From the question we were given the mass of the earth as 5.97 * 10^24

The mass of saturn is thus 95 * 5.97 * 10^24 =

576.15 * 10^24

This is 5.8 * 10^26 kg

Answer:

Answer D

Step-by-step explanation:

Since 3 sides are congruent to 3 other sides, the two triangles are congruent due to the SSS postulate.

SSS stands for "side side side". It means that if you have three pairs of congruent corresponding sides, then the triangles are congruent. It's like saying every corresponding piece of two houses are the same, so the two houses overall must be identical.

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!