Help help help help math

Answer:

Step-by-step explanation:

Motion graphs! Oh yes, I remember those.

I will be using the example of a remote-control car.

For Section AB:

The car starts moving steadily in one direction.

For Section BC:

The car has stopped moving.

And finally, for section CD:

The car has turned around and returned to the starting point at a steady pace.

I hope this answers your question.

-Toremi

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

We are given three sides of a triangle, Let the sides be :

We can find the area of the triangle with its three sides using Heron's Formula

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

[tex] \sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}[/tex]

where ( s ) :

[tex] \sf \longrightarrow s = \dfrac{a + b + c}{2} [/tex]

Therefore, for the given triangle first we will calculate ( s )

[tex] \begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}[/tex]

Now, Area of triangle will be:

[tex] \begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}[/tex]

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

[tex] \begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}[/tex]

Answer:

Area = 939.15 cm² (2 d.p.)

Shortest Altitude = 30.79 cm (2 d.p.)

Step-by-step explanation:

Heron's Formula allows us to find the area of a triangle in terms its side lengths.

Heron's Formula

[tex]\sf Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

where:

Given values:

Find the value of s:

[tex]\sf \implies s=\dfrac{a+b+c}{2}=\dfrac{35+54+61}{2}=75\:cm[/tex]

Substitute the values into the formula and solve for area:

[tex]\begin{aligned}\implies \sf Area & =\sf \sqrt{75(75-35)(75-54)(75-61)}\\& = \sf \sqrt{75(40)(21)(14)}\\& = \sf \sqrt{882000}\\& = \sf \sqrt{176400 \cdot 5}\\& = \sf \sqrt{176400}\sqrt{5}\\& = \sf 420\sqrt{5}\\& = \sf 939.15\:\:cm^2\:\:(2\:d.p.)\end{aligned}[/tex]

The altitude of a triangle is a perpendicular line segment drawn from a vertex of the triangle to the side opposite to it.

The shortest altitude of a triangle is drawn to the longest side.

Therefore, the shortest altitude will be the height of the triangle when the longest side is the base:

[tex]\begin{aligned}\textsf{Area of a Triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \sf 420\sqrt{5} & = \sf \dfrac{1}{2} \times 61 \times altitude \\\implies \sf Altitude & = \sf \frac{2 \cdot 420\sqrt{5}}{61}\\& = \sf \dfrac{840\sqrt{5}}{61}\\ & = \sf 30.79\:\:cm\:\:(2\:d.p.)\end{aligned}[/tex]

Answer:

The answer is the second option

Step-by-step explanation:

There are 8 possible spaces that the spinner can land on. Of those,  the options are 0, 1, 2, or 3.

There is one space that has 0 in it = 1 / 8 = 0.125

There are two spaces that have 1 in them = 2 / 8 = 0.25

There is one space that has 2 in it = 1 / 8 = 0.125

There are four spaces that have 3 in them = 4 / 8 = 0.5

Hope this helps!

Answer:

The solution to the question is in the attached image

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

Answer:

y = -x - 4

Step-by-step explanation:

m = (-5-0)/(1+4) = -5/5 = -1

b = (0, -4)

y = mx + b

y = -x - 4

Answer:

I think the correct answer is A

Answer:

A

Step-by-step explanation:

Plot the points on the coordinate plane in order to find out which one is the correct polygon.

In this case, A has all of the correct points and is therefore the correct answer.

Hope this helps!

Check the picture below.

Answer:

  a)  |sec(θ)|

  b) 2cot(2x)

Step-by-step explanation:

Trig identities are used to simplify these expressions. Several are used:

__

  [tex]\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}[/tex]

__

  [tex]\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}[/tex]

1. m∠5 = 75° (corresponding angles theorem)

2. 180°

3. m∠3 = 55° (triangle sum theorem).

4. A straight angle = 180°

5. m∠2 = 50° (angles on a straight line)

According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.

1. m∠5 = m∠1 = 75° (corresponding angles are congruent)

2. Measure of the sum of all angles in a triangle = 180°

3. To find ∠3, we would have the following equation:

m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).

Substitute and solve

m∠3 = 180 - 50 - 75

m∠3 = 55°

4. A straight angle = 180°

5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)

Substitute and solve

m∠2 = 180 - 55 - 75

m∠2 = 50°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

Answer:

AB=4

Step-by-step explanation:

[tex]\frac{10+x}{2}[/tex][tex]=7[/tex]

Multiply both sides by 2.

10+x=14

x=14-10

x=4

Answer:

you have to find the common ratio between the y and the x, like what you have to multiply x by to get y

Step-by-step explanation:

like if your table is

x / y

-2. 6

-1. 3

0. 0

1. -3

2. -6

the ratio would be -3

Answer:

HEyy

Step-by-step explanation:

its one square inch because if you think about it a little postage samp is very tiny

Answer:

5 x 10 + 8 = f

Step-by-step explanation:

The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.

In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.

Then he gets 8 more flowers which is why it has +8 in the equation.

The equation to get the total number of flowers is the last one:

f = 5*10 + 8

We know that Ash has 5 bunches of flowers, each one contains 10 flowers, so there we have:

5*10 = 50 flowers.

Then he adds 8 more flowers, then we can write the total number of flowers as:

f = 5*10 + 8.

So the equation that we need to use is the last one.

If you want to learn more about equations:

https://brainly.com/question/2972832

#SPJ2

Answer:

20 days

Step-by-step explanation:

1) [tex]\frac{8}{10}[/tex] must be written as a fraction where the denominator is 25 since there are 25 days of school.

[tex]\frac{8}{10} = \frac{x}{25}[/tex]

2) Cross multiply them.

[tex]10(x) = 25(8)[/tex]

[tex]10x = 200[/tex]

3) Solve for [tex]x[/tex].

[tex]x = \frac{200}{10}[/tex]

[tex]x = 20[/tex]

The probability that the student does not know the answer but he randomly guesses it is 0.146025

The question has only one right answer out of 5 choices.

Probability he answers incorrectly:

1 - 0.55 * 4/5

= 0.45 * 0.8

= 0.36

Probability he does not know answer but answers the question correctly

[tex]\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }[/tex]

= 0.09/0.55+0.09

= 0.140625

Read more on probability here: https://brainly.com/question/24756209

Finding the complex numbers and subtracting them, it is found that z2 - z1 = (0, -4).

They are in the format:

z = a + bi.

In which:

In a graph, the real part is the horizontal axis, while the imaginary part is the vertical axis. Hence, the numbers are given by:

To find the result of the subtraction, we subtract each part, hence:

z2 - z1 = (2,1) - (2,5) = (2 - 2, 1 - 5) = (0, -4).

More can be learned about complex numbers at https://brainly.com/question/25572463

The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.

The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.

Therefore,

sin 56° = opposite / hypotenuse

sin 56° = 35 / x

The hypotenuse is the length of the support wire.

Therefore,

x = 35 / 0.82903757255

x = 42.2195416164

x = 42.2 m

learn more on right angle here: https://brainly.com/question/9495022

Step-by-step explanation:

12) a Wasabi

13) 1,000

14) x-6=2(y+4) . pls once again check with this as I find none of the option reasonable do ask ur teacher once but anyway nearest is that one

15) 6

Answer:

minden new yemilew yihegnaw tiyake

Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

Formula

Subbing in the values

★ Given that,

★ To calculate,

So here we would be using the formula of calculating the midpoint of two points.

Midpoint of two points:-

★ We have :

★ Putting the values :

★ Therefore,

★ Centroid of a triangle :-

★ Distance Formula :-

Answer: $756

Step-by-step explanation:

convert feet to yards

1 yard = 3 feet

27 ft = 9 yards

18 ft = 6 yards

carpet represents area

area = length x width

area = 9 x 6

area = 54 yards^2

$14 for 54 yards^2 = 14 x 54

14 x 54 = 756

$756