What is the length of this rectangle?

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

Answer:

8/17

Step-by-step explanation:

Cosine is adjacent over hypotenuse (CAH as in SOH CAH TOA) so the ratio would be 8/17

Suppose that Eldi has x years old now :

x + 4 = 3 × ( x - 10 )

x + 4 = 3x - 30

Add both sides 30

x + 4 + 30 = 3x - 30 + 30

x + 34 = 3x

Subtract both sides x

x - x + 34 = 3x - x

34 = 2x

2x = 34

Divide both sides by 2

2x ÷ 2 =34 ÷ 2

x = 17

_____________________________

Thus Eldi is 17 .

Answer:

13.5 years

Step-by-step explanation:

We are given the expression:

W(x)= 20 x (0.95)^x

Where W(x) = 20grams/2

= 10 grams

Hence:

10 = 20 x (0.95)^x

Divide both sides by 20

10/20 = 20 x (0.95)^x/20

0.5 = (0.95)^x

Take the log of both sides

log 0.5 = log (0.95)^x

log 0.5 = x log (0.95)

Divide both sides by log 0.95

x = log 0.5 / log 0.95

x = 13.513407334 years

Approximately to 1 decimal place =✓13.5 years

Therefore, it will take 13.5 years for the radioactive substance to be half of its original weight.

Answer:

-40

Step-by-step explanation:

y−27−13

=y+−27+−13

Combine Like Terms:

=y+−27+−13

=(y)+(−27+−13)

=y + −40

Answer:

Adult Tickets =$3

Student Tickets =$6

Step-by-step explanation:

3×3=9 9+6=15

9×3=27

7×6=42

27+42=67

Answer:

W: (-3,5)

W': (-3,-5)

Y coordinate

Step-by-step explanation:

if you want me to explain it I can in the comments thing

In the plot the coordinates of W is (-3 , 5 ) , and the reflection will be W' (-3 , -5)

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

When reflecting a figure in a line or in a point, the image is congruent to the preimage.

A reflection maps every point of a figure to an image across a fixed line.

So in the plot the coordinates of W is (-3 , 5 )

and the reflection will be W' (-3 , -5)

The plot of W and W' is attached with the answer.

To know more about reflection

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Answer:

A

Step-by-step explanation:

the numbers available in the set is {4,10,22} all are even numbers only.

Answer:

Y =-25x +225

Step-by-step explanation:

First you can count the gradient first. Use then you can count y intercept

Answer:

Red light flashes once every 6 seconds, blue light flashes once every 10 seconds, so the next time the blue light flashes(20 seconds), the red light would have completed 18 seconds and the next time blue light flashes (30 seconds), the red light would also be flashed at the same time.

Step-by-step explanation:

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

Answer:

B & E

Step-by-step explanation:

___________________

Answer:

Logan can mow 1 lawn per hour more than Brian

Step-by-step explanation:

Given

[tex]Logan: 8\ lawns \to 4\ hours[/tex]

See attachment for Brian's graph

First, calculate Logan's hourly rate

[tex]Rate = \frac{Lawn}{Time}[/tex]

[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]

Rate = 2 lawns per hour

To calculate Brian's rate, we select 2 points from the linear graph

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,2)[/tex]

So, the rate is:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

[tex]Rate = \frac{1}{1}[/tex]

Rate = 1 lawn per hour

So, we have:

[tex]Logan = 2[/tex]

[tex]Brian = 1[/tex]

Calculate the difference (d)

[tex]d = Logan - Brian[/tex]

[tex]d = 2 - 1[/tex]

[tex]d = 1[/tex]

Logan can mow 1 lawn per hour more than Brian

Answer:

-49

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Step-by-step explanation:

Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:  

L + P + E = 1

L + E = 2P

P = 2E

L + E = 4E

L = 4E - E

L = 3E

3E + 2E + E = 1

6E = 1

E = 1/6

E = 0.166

P = 0.166 x 2

P = 0.333

L = 0.166 x 3  

L = 0.5  

L = 1/2

Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Answer:

selling 36 muffins at a discount rate of 10% off the original price

Step-by-step explanation:

The bottom of the ladder is now 96 feet closer to the house compared to its initial position.

To solve this problem, we can use the concept of similar triangles. Let's denote the distance between the bottom of the ladder and the base of the wall as x (in feet). We are given the following information:

Initial ladder position:

Top of the ladder is 16 feet above the ground.

Bottom of the ladder is 12 feet away from the base of the wall.

New ladder position:

Top of the ladder is 18 feet above the ground.

Since the triangles formed by the ladder, the ground, and the wall are similar, we can set up a proportion to find the new distance between the bottom of the ladder and the base of the wall.

Using the initial position of the ladder:

(16 ft) / (x + 12 ft) = (18 ft) / (x)

Cross-multiplying:

16 ft * x = 18 ft * (x + 12 ft)

Expanding:

16x = 18x + 216 ft

Moving the terms involving x to one side:

16x - 18x = 216 ft

Simplifying:

-2x = 216 ft

Dividing by -2:

x = -108 ft

Since distance cannot be negative, we discard the negative solution. The distance between the bottom of the ladder and the base of the wall is 108 ft.

Now, to find how much closer to the house the bottom of the ladder is, we can subtract the initial distance (12 ft) from the new distance (108 ft):

108 ft - 12 ft = 96 ft

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Answer:

t:

[tex] \infty , - \infty [/tex]

meaning any number can substitute t and it would be the same answer.

Answer:

85 km

Step-by-step explanation:

Answer:

15 students do not like either sport

Step-by-step explanation:

See the attached image.

Step 1: put 35 in the "like to play both" (intersection) area.

Step 2: subtract those 35 from the 65 football players.  65 - 35 = 30 players like football but not cricket.  Put 35 in the football but not cricket area.

Step 3: subtract 35 from the 55 cricket players.  55 - 35 = 20 players like cricket but not football.  Put 20 in the cricket but not football area.

Step 4: Add the 30 + 35 + 20 = 85 together.  So 85 players are accounted for as players of one or more sports.

Step 5: 100 - 85 = 15 must be the number of students who did not like either sport.  Put 15 in the area outside both circles.

Answer:

[tex]BC=12.8,\\AC=15.1[/tex]

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]

Solving, we get:

[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

Answer: C

Step-by-step explanation:

The two lines meet at (3,2). always read these things by doing the horazontal line and then the vertical one.

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation: