The model below represents the sum of two mixed numbers.
Write an equation that shows the sum represented by the model.
Show your work.

Answer:

26.6degrees

Step-by-step explanation:

Given

percent grade through north = 10% (opposite)

percent grade through east = 20% (adjacent)

Get the direction

Using the SOH CAH TOA identity

tan theta = opp/adj

tan theta = 10/20

tan theta = 0.5

theta = arctan (0.5)

theta = 26.6degrees

Hence the required angle is 26.6degrees

Answer:

1. Volume of cone =  

where h is the height of the cone and r is the radius.

2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm

so the volume =  ()

3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.

V(cone)=

V(top section)=192-24=168

Step-by-step explanation:

Answer:

Step-by-step explanation:

for sides you can use ruler but for angles you should use protractor

The tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.

What is a Parallelogram?

A parallelogram is a type of quadrilateral that has two pairs of opposite sides that are parallel and congruent, and has opposite angles that are also congruent.

A compass ca be used to measure the interior angles while a ruler can be used to measure the side lengths of the parallelogram.

Therefore, the tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.

Learn more about the parallelogram on:

https://brainly.com/question/3050890

Answer:

2., 3., 5.

Step-by-step explanation:

when we do the multiplications we see

2×3x/4 + 2×7 - 3×1x/2 + 3×5 = 3x/2 + 14 - 3x/2 + 15 = 29

as 3x/2 and -3x/2 reduce themselves in a sum to 0.

this gives answer option 2.

the other correct answer options are just splitting the addition part in a multiplication into their 2 "sub-multiplications" and adding these results.

the only correct ones (correctly maintaining our converting the signs) are 3 and 5.

option 4 suddenly converts the -3 factor into +3 without any other compensation. so, that is wrong.

and option 1 made again a sign mistake with -3×-5, which is correctly +15 and not -15.

Answer:

B.10

Step-by-step explanation:

15=1/2b(3)

30=3b

10= base

Answer:

After simplify answer will be :[tex]\frac{5p}{18}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]

Now,

[tex]\frac{10p}{36}[/tex]

Final answer would be :

[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]

Answer:

y= 5-8x

Step-by-step explanation:

See image below:)

Answer:

The distance from the store A to the warehouse is of 13.93 miles.

Step-by-step explanation:

The delivery truck drove 5 miles from store A to store B

5 miles south.

13 miles from store B to the warehouse.

13 miles east.

The situation can be represented by:

A

B         Warehouse

In which the distance of A to B is of 5 miles, and the distance of B to the warehouse is of 13 miles. Thus, the distance of store A to the warehouse is the hypothenuse of a right triangle, with sides 5 and 13.

Using the Pytagorean Theorem:

[tex]h^2 = 5^2 + 13^2[/tex]

[tex]h^2 = 25 + 169[/tex]

[tex]h^2 = 194[/tex]

[tex]h = \sqrt{194}[/tex]

[tex]h = 13.93[/tex]

The distance from the store A to the warehouse is of 13.93 miles.

Answer:

0.025

Step-by-step explanation:

Mean = 79 ; Standard deviation = 7

P(x ≥ 93)

We obtain the ZSCORE :

Zscore = (x - mean) / standard deviation

x = 93

Zscore = (93 - 79) / 7 = 2

P(Z ≥ 2) = 0.02275

Answer: [tex]\$\ 204.4[/tex]

Step-by-step explanation:

Given

The total length of the trip is [tex]l=1940\ \text{miles}[/tex]

Car average is 28 miles per gallon

So, car requires

[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]

Price of gas is $2.95 per gallons

[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]

So, the cost of the trip is [tex]\$\ 204.4[/tex]

Answer:

m∠ABC = 53°

Step-by-step explanation:

m∠ABC + m∠CBD = m∠ABD

m∠ABC + 37° = 90°

m∠ABC = 53°

Answer:

53º

Step-by-step explanation:

abc = 90 - 37

abc = 53º

Answer:

2022 students

Step-by-step explanation:

15:1

? :179

?=179×15

=2685

2685-663=2022

Answer:

2022 students

Step-by-step explanation:

15:1

?:179

?=179×15

=2685

2685-663

=2022

the total number of second-, third-, and fourth-year students are 2022 students.

Answer:

A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.

9514 1404 393

Answer:

  C.  x -2y = 8

Step-by-step explanation:

One way you can do this is to use the form ...

  (Δy)(x -x1) -(Δx)(y -y1) = 0

where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1

This gives ...

  (x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in

  x -2y -8 = 0 . . . . . . . general form

  x -2y = 8 . . . . . . . . .  standard form

_____

Additional comment

You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.

Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.

The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:

  [tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0[/tex]

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

Answer:

He can have 40 guinea pigs in the store.

Step-by-step explanation:

Since Jonas runs a pet store that sells guinea pigs, and he wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store, and he currently has 8 pounds of dry food, to know how many guinea pigs can he have in the store, the following equation must be performed:

1 = 5

8 = X

8 x 5 = X

40 = X

Therefore, he can have 40 guinea pigs in the store.

Answer:

x less-than-or-equal-to 40

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.

Hope this helps!

-kiniwih426

Answer:

12,599.1

Step-by-step explanation:

13,999 * 0.9 = 12,599.1

Answer:

1399.9

Step-by-step explanation:

Firstly you get your number 13'999 and divide it by ten because its ten percent of.

Answer:

[tex]P(x > 0.28) = 1[/tex]

Step-by-step explanation:

Given

[tex]p = 33\%[/tex] --- orders from first time customer

[tex]n =163[/tex] --- samples

Required

[tex]P(x >0.28)[/tex]

First, calculate the mean

[tex]\bar x = np[/tex]

[tex]\bar x = 163 * 33\%[/tex]

[tex]\bar x = 53.79[/tex]

Next, the standard deviation

[tex]\sigma = \sqrt{\bar x * (1 - p)[/tex]

[tex]\sigma = \sqrt{53.79* (1 - 33\%)[/tex]

[tex]\sigma = \sqrt{53.79* (1 - 0.33)[/tex]

[tex]\sigma = \sqrt{53.79* 0.67[/tex]

[tex]\sigma = 6.00[/tex]

For [tex]P(x >0.28)[/tex],

The z score is:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

[tex]z = \frac{0.28 - 53.79}{6}[/tex]

[tex]z = \frac{-53.51}{6}[/tex]

[tex]z = -8.92[/tex]

So:

[tex]P(x > 0.28) = P(z > -8.92)[/tex]

From z probability:

[tex]P(z > -8.92) =1[/tex]

Hence:

[tex]P(x > 0.28) = 1[/tex]

Answer:

i can not understand your language please type in english

Answer:

1/3 x 70

= $ 23 / 1/3

= 70 - 23 / 1/3

= $ 46 /2/3

Step-by-step explanation:

22p-7

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:180

9514 1404 393

Answer:

Step-by-step explanation:

You have not told us the sort of figure you're supposed to draw. If these are cuboids, then their drawings are substantially similar to the one shown in the attachment. Your figures may need to show the units on each of the dimensions.

1. A cube with edge lengths of 5 m has a volume of ...

  V = s³

  V = (5 m)³ = 125 m³

__

2. A cuboid with the given volume and other dimensions has a length of ...

  V = lwh

  675 cm³ = l(9 cm)(10 cm)

  675 cm³/(90 cm²) = l = 7.5 cm . . . . . . . . divide by the coefficient of l

Answer:

substitute means to use or add in place of something.

Step-by-step explanation:

Example: Substitute 1 for x: therefore x now is equal to 1.