In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?

Answer:

There are 325 seats in each row

Step-by-step explanation:

78 × 325 = 25,350

Answer:

x ≈ 52.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{36}{28}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{36}{28}[/tex] ) ≈ 52.1° () to the nearest tenth )

Answer:

(0,-3)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

(2x -9) + (x + 2) = 23

2x + x -9 + 2 = 23

3x - 7 = 23

3x = 23 + 7

x = 10

RS = 2x - 9

RS = (2 * 10) - 9

RS = 20 - 9

RS = 11

Answer:

0 so D

Step-by-step explanation:

The shape didnt change at all. All the sides are 5 for both triangles.

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

Answer:

7500 m

Step-by-step explanation:

5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500

Answer:

4 gift card

Step-by-step explanation:

40 dollar /gift card price 10

=4

Answer:

4 dollar gift card

Step-by-step explanation:

40÷10=4

4 dollar gift card

Answer:

[tex] = { \tt{50 - 2(32 + 1)}}[/tex]

Solve the bracket:

[tex] = { \tt{50 - 2(33)}}[/tex]

Open the bracket:

[tex]{ \tt{ = 50 - 66}}[/tex]

Subtract the expression:

[tex]{ \bf{ = - 16}}[/tex]

Step-by-step explanation:

Multiply 2 by 32 and 1

50-64-2

-14-2

-16 Answer

Answer:

option C is correct

x^4 - x^2 - 2.5

If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.

The function is an expression, rule, or law that defines the relationship between one variable to another variable.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are g(x) and f(x) are given below.

f(x) = x⁴-x²

g(x) = x⁴-x²+2.5

We know that if we add any constant c in the function then it gets shifted upward by the c unit.

The graph is shown.

More about the function link is given below.

brainly.com/question/5245372

#SPJ7

Answer:

The Answer is         129

Step-by-step explanation:

We substitute x + 3 for X in F(x):

f(g(x)) = (x + 3)^3 +4

f(g(2)) = (2 + 3)^3 + 4

=125 + 4

=129

Answer:

Step-by-step explanation:

An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:

One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.

As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.

We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where

[tex]tan\theta=\frac{opp}{adj}[/tex]  where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:

[tex]tan53=\frac{opp}{12}[/tex] and multiply both sides by 12 to get

12tan53 = opp and do this on your calculator to get that

opp = 15.9 inches

Answer:

x=31.2

Step-by-step explanation:

Since angle C is 4x-10 and angle A is 2x+3

then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)

4x-10+2x+3=180

6x-7=180

6x=187

x=31.166...

if you round it to the nearest tenth it would be 31.2

Answer:

The 2nd one

Step-by-step explanation:

Did the test

Answer:

Step-by-step explanation:

First of all the first term is a1 and that's equal to -3

Every term is multiplied by 7

So the recursive formula is

an = 7*a_(n-1)

a2 = 7*a_(1 -1)

a2 = 7*-3

a2 = - 21

Now try a_4

a_4 = 7*a_3

a_3 = -147

a_4 = 7*(-147)

a_4 = -1029

Answer:

c) 25 cm^2

d) 52.5 cm^2

Step-by-step explanation:

5*2 = 1

10/2 = 5

40/2 = 20

20+5 = 25

This is just scratch work^

Answer:

8 trips

Step-by-step explanation:

You can solve this by unitary method.

15 kilometers in 5 trips means 1 trip consist of 3 kilometers

Therefore, 24/3 = 8

So the required answer is 8 trips.

Thank you!!

Answer:

a round figure that has no corners or vertices.

Step-by-step explanation:

Answer:

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.

Step-by-step explanation:

Center of a Circle

The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle.

Here, point P is the center of the circle.

center of the circle center point

Semicircle:

A semi-circle is half of a circle, formed by cutting a whole circle along a line segment passing through the center of the circle. This line segment is called the diameter of the circle.

Step-by-step explanation:

hope it helps you..........

Answer:

[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

Given:

Axis of symmetry of a parabola is [tex]x=4[/tex].

A point on the parabola is (0,2).

To find:

The another point on the parabola.

Solution:

The point (0,2) lies on the parabola and the axis of symmetry of a parabola is [tex]x=4[/tex].

It means, the another point on the parabola is the mirror image of (0,2) across the line [tex]x=4[/tex] because the parabola is symmetric about the axis of symmetry.

If the point is reflected across the line [tex]x=4[/tex], then

[tex](x,y)\to (-(x-4)+4,y)[/tex]

[tex](x,y)\to (-x+4+4,y)[/tex]

[tex](x,y)\to (-x+8,y)[/tex]

Using this rule, we get

[tex](0,2)\to (-0+8,2)[/tex]

[tex](0,2)\to (8,2)[/tex]

Therefore, the other point on the parabola is (8,2).

Answer:

solution

Step-by-step explanation:

ADC = Sum of triangle

AD+ AC = 2.25+3 =5.25

Step 2:

BCD = Sum of acute angled triangle = a+b+

c

BCD= 2.25+4+3

BCD = 9.25

The value of x =ADC+BCD

= 5.25+ 9.25

= 14.5

Answer:

y=2x

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).

1) Determine the slope (m)

The slope is the rate of change, or the number of units the line moves up divided by the number of units the line moves to the right.

Looking at the graph, we can see that for every 1 space the line travels to the right, the line travels 2 spaces up. This makes the slope of the line 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

When x=0 on the graph, y=0. Therefore, the y-intercept is 0. Plug this into [tex]y=2x+b[/tex]:

[tex]y=2x+0\\y=2x[/tex]

I hope this helps!

Answer:

y = 8

Step-by-step explanation:

First, we know that the equation for standard deviation is

σ = √((1/N)∑(xₐ-μ)²), with σ being the standard deviation, N being the count of numbers, xₐ being individual values, and μ being the mean. Working backwards, we have

0 = √((1/N)∑(xₐ-μ)²)

Squaring both sides, we get

0 = (1/N)∑(xₐ-μ)²

Since 1/N cannot be 0, we know that

0 = ∑(xₐ-μ)²

Since (xₐ-μ)² can only be ≥0, this means that each value of xₐ-μ must be equal to 0, so

0 = xₐ-μ for each a

xₐ = μ

This leads to the conclusion that each value is equal to the mean, so the mean must be 8.

The mean is equal to the sum / amount of numbers. There are 6 numbers, and the sum is (40+y). The mean is

8 = (40+y)/6

multiply both sides by 6

6*8 = 40+y

48 = 40 + y

This means that

y = 8

Answer:

25 + 300 = 325

trousers: spent 30 (a pair of trousers = one unity of trousers)

shirts: spent 19 x 2 = 38

shoes: spent 40 x 2 = 80

80 + 38 + 30 = 148

325 - 148 = 177

She had $177,00 left.

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

a = ba

1 = b

Since b = 1,

b = 2a

1 = 2a

a = 0.5

Therefore,

a + b = 0.5 + 1

a + b = 1.5

Answer: [tex]75\ m[/tex]

Step-by-step explanation:

Given

The tower is 45 m high and Clinometer is set at 1.3 m above the ground

From the figure, we can write

[tex]\Rightarrow \tan 32^{\circ}=\dfrac{43.7}{x}\\\\\Rightarrow x=\dfrac{43.7}{\tan 32^{\circ}}\\\\\Rightarrow x=69.93\ m[/tex]

Similarly, for [tex]\triangle ACD[/tex]

[tex]\Rightarrow \tan 47^{\circ}=\dfrac{43.7+y}{x}\\\\\Rightarrow 69.93\times \tan 47^{\circ}=43.7+y\\\\\Rightarrow 74.99=43.7+y\\\Rightarrow y=31.29\ m[/tex]

Height of the tower is [tex]43.7+31.29\approx 75\ m[/tex]

Answer:

Step-by-step explanation:

volume =triangular area× length

=1/2×6×3×14

=126 ft³

Answer:

About 126 ft cubed

Answer:

x=12 is the answer

Step-by-step explanation:

[tex] \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]

[tex] \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]

[tex] \frac{10}{4} x - \frac{3}{4} x = 21[/tex]

[tex] \frac{7}{4} x = 21[/tex]

[tex]x = 21 \div \frac{7}{4} [/tex]

[tex]x = 21 \times \frac{4}{7} [/tex]

[tex]x = 3 \times 4[/tex]

[tex]x = 12[/tex]

Answer:

x=12

Step-by-step explanation:

Line that's perpendicular to y=49 should be a vertical line of the form x=a

Now the line passes through (12,35) so the equation of the line is,

x=12

Answered by GAUTHMATH

Hello!

(3n + 2) - 10 =

= (3 × 3 + 2) - 10 =

= (9 + 2) - 10 =

= 11 - 10 =

= 1

Good luck! :)

[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]