Solve for x.

0.5x+78.2=287

Answer:

c = sqrt(106)

Step-by-step explanation:

Since this is aright triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 9^2 = c^2

25 +81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106) = sqrt(c^2)

c = sqrt(106)

Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] .......(1)

If radius, r = 2 inch

New volume,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] ....(2)

We can see that the volume in both case is same. Hence, the student is correct.

Answer:

<E

Step-by-step explanation:

Answer:

∠E is the answer I believe

If i'm wrong correct me!!

(°◡°♡).:｡

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = a³ (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

Answer:

Median is 6

hope it helps u!!! have a great day ahead..

Answer:

6

Step-by-step explanation:

because a median means. the number located at the centre of of the Patten

Answer:[tex]31.17\ in[/tex]

Step-by-step explanation:

Given

Edge length of cube is [tex]a=18\ in.[/tex]

From the figure, distance between the opposite corner of the tank is

[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]

Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]

Answer:

8400 cents

Step-by-step explanation:

SI=P×T×R

100

300×4×7

100

=$84

=8400 cents

Answer:

$396.94

Step-by-step explanation:

formula:

[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]

which rounds to 396.94

Answer:

We can conclude that the room temperature on Saturday was 24°C

Step-by-step explanation:

For a set of N values:

{x₁, x₂, ..., xₙ}

The mean of the set is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case, our set is the temperature of 7 days (so we have 7 elements)

{T₁, T₂, T₃, T₄, T₅, T₆, T₇}

Such that:

T₆ = temperature on Saturday

T₇ = temperature on Sunday.

We know that:

"The mean room temperature from Monday to Saturday is 25°C"

Then:

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]

"the mean room temperature of Saturday and Sunday is 28°C"

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

"The mean room temperature from Monday to Sunday is 26°C"

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]

So we have 3 equations.

Let's rewrite:

T₁ + T₂ + T₃ + T₄ + T₅ = A

Then we can rewrite our equations as:

[tex]\frac{A+ T_6}{6} = 25 C[/tex]

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]

Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:

A + T₆ = 6*25

T₆ + T₇ = 2*28

A + T₆ + T₇ = 7*26

We now need to solve that system for T₆

The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:

A = 6*25 -  T₆

A = 150 -  T₆

Now we can replace this on the other two equations:

T₆ + T₇ = 2*28

(150 -  T₆ ) + T₆ + T₇ = 7*26

Now, let's isolate T₇  in the top equation to get:

T₇  = 2*28 - T₆

T₇  = 56 - T₆

Now we can replace this in the last equation to get:

(150 -  T₆ ) + T₆ + (56 - T₆)  = 7*26

Now, we can solve this for T₆

150 - T₆ + T₆ + 56 - T₆ = 182

-T₆ = 182 - 150 - 56

-T₆ = -24

T₆ = 24

We can conclude that the room temperature on Saturday was 24°C

Probability  that the two numbers are multiples of 3 after replacing first

It is a branch of mathematics that deals with the occurrence of a random event.

The odd integers from11 to 22 are

11,13,15,17,19,21

So there are 6 events

Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.

One number out of these 2 numbers can be chosen in 2 ways.

Therefore, favourable number of elementary events = 2.

Required probability =2/6=1/3

Hence 1/3 is the probability  that the two numbers are multiples of 3 after replacing first

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Answer:

Yes, it is better.

Step-by-step explanation:

3 oz. = $0.75

multiply each by 4

12 oz. = $3

Answer:

NO

Step-by-step explanation:

(4) 3oz bags are 12 ounces

0.75 * 4 = $3.00

So the 12 oz bag is not a good buy.

Answer:

59.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

[tex]\longrightarrow[/tex] 90° + (4x + 10)° + (2x + 26)° = 180°

[tex]\longrightarrow[/tex] 126° + 6x = 180°

[tex]\longrightarrow[/tex] 6x = 180° - 126°

[tex]\longrightarrow[/tex] 6x = 54°

[tex]\longrightarrow[/tex] x = 9

Angles =

[tex]\longrightarrow[/tex] 4(9) + 10

[tex]\longrightarrow[/tex] 46°

[tex]\longrightarrow[/tex] 2(9) + 26

[tex]\longrightarrow[/tex] 44°

The angles are 46°, 90° and 44°.

Answer:

A

Step-by-step explanation:

The best way to prove the answer is to equate the two equation and solve for the x-coordinate..however in these equation the x value is zero so the y value will alternatively be zero hence there lines consist of no points of intersection

Answer:

a common denominator

Step-by-step explanation:

Answer:

B ) P 215 V 235

Peter 35×5=175+40=215

Veronica 35×5=175+60=235

Answer:

80miles

Step-by-step explanation:

400=L

L[tex]\sqrt{400[/tex]

=20

to find p

4L

4(20=80

Answer:

a-d=90

e= 34

f= 56

g= 56

h= 34

i= 34

j= 56

k= 56

Answer:

B | 6

Step-by-step explanation:

First, find the length of the wire by finding the perimeter of the rectangle

2(5) 2(7) = 24

If a square has 4 sides, put 24 as the numerator and 4 as the denominator.

24/4

Now, divide it and you'll get 6, the answer.

Answer:

$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

now we multiply !

500 × 0.033 × 4 = 66 = $66.00

Answer:

Step-by-step explanation:

I got 408.33. dont know how to help you out

Answer:

past participle

Step-by-step explanation:

all of the other ones are correct

Answer:

x = 10

Step-by-step explanation:

2x = 20°

x = 20/2

x =10

Answer:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

Answer:

[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]

Answer: Cal's answer must be incorrect because the sum of angles is incorrect.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees.

According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.

Sum of angles = 65+45+60

i.e. Sum of angles = 170 which is not equal to 180

Hence, Cal's answer must be incorrect because the sum of angles is incorrect.

Answer:

A

Step-by-step explanation:

Edge 2021

The point justifies the shaded area is (1, 1).

Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.

This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.

Given:

x²/ 16 + y²/ 4 ≤ 1

As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.

Now, when we plot the Equation in the graph we get the elliptical shape.

From the given point the point which lies inside the graph is (1, 1).

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