Solve for x. (Round to the nearest tenth)

Answer:

a = 8

b = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

I've attached a picture of the 45-45-90 triangle's formula, which is the length of the hypotenuse = [tex]\sqrt{2}[/tex] times the length of a leg (one of the sides of the triangle).

So, applying this to your problem, if 4[tex]\sqrt{2}[/tex] if one of the legs of the triangle, the other leg, which is b , would be the same length.

b = 4[tex]\sqrt{2}[/tex]

To solve for a, you would have to multiply the leg by [tex]\sqrt{2}[/tex].

a = 4[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]

I would separate the 4 and the [tex]\sqrt{2}[/tex].

a = 4 x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]

a = 4 x [tex]\sqrt{2 *2}[/tex]

a = 4 x [tex]\sqrt{4}[/tex]

a = 4 x 2

a= 8

Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

4444444444444444444 4444444

Answer:

4

Step-by-step explanation:

A P E X:L E A R N I N G

Answer:

y=5

Step-by-step explanation:

It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.

Answer:

Height of the tree is 20.25 m.

Step-by-step explanation:

Length of building AB = 54 m

Length of tree DE = 9 m

Shadow casted by the building (BC) = 24 m

Shadow casted by the tree (CE) = 9 m

Since, ΔABC ~ ΔDEC

By the property of similar triangles, corresponding sides of the similar triangles will be proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]

[tex]\frac{54}{h}=\frac{24}{9}[/tex]

h = [tex]\frac{54\times 9}{24}[/tex]

h = 20.25 m

Therefore, height of the tree is 20.25 m.

Answer:

7/24

Step-by-step explanation:

in order to get the fraction, you need to add all of the books read together; you should get 120.

Then add all of the books read in even classes(2nd grade and 4th grade) and you should get 35.

Then place 35 on top of 120 to form the fraction: 35/120.

Then simplify the fraction by finding the greatest common factor, which is 5, and divide 35 and 120 by 5 to get 7 and 24.

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.

Answer:

Step-by-step explanation:

IN slope intercept form

3y = 2x + 9

y = ( 2x + 9)/3

y = 2/3 x + 3

Answer:

[tex] \huge \boxed{ \boxed{ \mathfrak{y = \frac{2}{3} x + 3}}}[/tex]

Step-by-step explanation:

Answer:

hope this will help you further

Answer:

180

Step-by-step explanation:

Answer:

4 goats

Step-by-step explanation:

Let us represent

Number of quails = x

Number of goats = y

Quails have 2 legs

Goats have 4 legs

Hence:

There are 6 animals in the pen some are quails and some are goats

x + y = 6...... Equation 1

x = 6 - y

if there are 20 legs in all how many quails

2x + 4y = 20..... Equation 2

We substitute 6 - y for x in Equation 2

2(6 - y) + 4y = 20

12 - 2y + 4y = 20

Collect like terms

- 2y + 4y = 20 - 12

2y = 8

y = 8/2

y = 4 goats

The number of goats there are 4 goats

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

The answer is A. unchanged

Answer:

3x4x5x6x7x8=20160

Step-by-step explanation:

Answer:

sorry dont know

Step-by-step explanation:

Answer:

-3 - (-9)

As we have '-' sign outside bracket, the sign inside the brackert will become opposite, thus we will have,

⇒ -3+9

⇒ 6

-3 - (-9) change the signs -3+9 then calculate which gives your answer 6

Answer:

13.7%

Step-by-step explanation:

Percentage decrease = (3.65 - 3.15) / 3.65 * 100% = 13.7%

Answer:

Trapezoid

Step-by-step explanation:

They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.

That means it's at least a trapezoid.

As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).

It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.

As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).

Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).

Answer:

The time would become 13:40

Step-by-step explanation:

8 in 8:40 is hours

40 in 8:40 is minutes.

Answer:

1:40pm

Step-by-step explanation:

Given:

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.

To find:

The ratio which represents the cotangent of ∠G.

Solution:

In a right angle triangle, the ratio of the cotangent of an angle is

[tex]\cot \theta =\dfrac{Base}{Perpendicular}[/tex]

It is also written as

[tex]\cot \theta =\dfrac{Adjacent}{Opposite}[/tex]

In ΔFGH, the measure of ∠H=90°. So,

[tex]\cot G =\dfrac{HG}{FH}[/tex]

[tex]\cot G =\dfrac{80}{39}[/tex]

Therefore, the ratio for the cotangent of ∠G is [tex]\cot G=\dfrac{80}{39}[/tex].

Answer: 8 students

Step-by-step explanation:

2/5 of 40 = 16

1/5 of 40 = 8

16 - 8 = 8

Answer:A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

you need to upload a pic

Step-by-step explanation:

.

Answer:

x-coordinate of point A

Step-by-step explanation: Khan Academy

Answer:

Step-by-step explanation:

85°

Answer:

60

Step-by-step explanation:

All the sides are equal

Answer:

Outlier

Step-by-step explanation: