Please help me solve this

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

Answer:they have the same horizontal translation

Step-by-step explanation:

Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.

Answer:

yes it's all correct good luck

Answer:

Yes it is possible

Step-by-step explanation:

Given

[tex]n = 20[/tex]

[tex]x= 7[/tex] --- correct

[tex]y = -4[/tex] --- wrong

[tex]z = 0[/tex] --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

[tex]x \to 3[/tex] -- Got 3 correctly

[tex]y \to 8[/tex] --- Failed 8

[tex]z \to 9[/tex] ---- Didn't answer 9

The above will give a score of -11.

We have:

[tex]3x+8y+9z[/tex]

[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]

[tex]3x+8y+9z = 21-32 + 0[/tex]

[tex]3x+8y+9z = -11[/tex]

Hence, a score of -11 is possible

Answer:

A(n) isometry is a mapping that does not change the size of the original figure.

Answer:

Isometry

Step-by-step explanation:

Isometry is a mapping that does not change the size of the original figure.

Answer:

Replace all occurrences of

−

−

with a single

+

. Two consecutive minus signs have the same mathematical meaning as a single plus sign because

−

1

⋅

−

1

=

1

x

2

+

169

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

SA= 2lw+2lh+2wh

Answer:b

Step-by-step explanation:

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

Answer:

8

Step-by-step explanation:

So there are 20 balls.

3/5 of them are NOT white.

This means 2/5 of them ARE white.

So knowing this, lets find the number of white balls(x).

To do this, lets multiply the 20 total balls by the 2/5 of them that are white:

20/1*2/5

=

40/5

=

8

So we know that 8 of the balls are white!

Hope this helps! :)

Answer:

4 3/4

Step-by-step explanation:

= (8 - 3) + (1/4 - 1/2)

= 5 + 1/4 - (1 x 2 over 2 x 2)

= 5 + 1/4 - 2/4

= 5 and (1/2 over 4)

= 5 + -1/4

= 4 3/4

Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.

Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

Learn more about LD50 here: https://brainly.com/question/10042271

#SPJ2

Answer:

5/6

Step-by-step explanation:

Divide it

The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;

[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]

Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

Learn more about division here;

https://brainly.com/question/22850643

#SPJ2

Answer:

-7 and - 9

Step-by-step explanation:

Area of rectangule is length *width

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

Use the FOIL Method.

(3x + 4) (5x - 2)

1. First: 15x^2

2. Outside: -6x

3. Inside: 20x

4. Last: -8

5. Put Together: 15x^2 - 6x + 20x - 8

6. Simplify: 15x^2 + 14x - 8

Answer:

i cant see the question :(

Step-by-step explanation:

Answer: Keith spent 3 hours renting the surfboard.

Step-by-step explanation:

h=hour

10.25h+25=55.75

55.75-25= 30.75

30.75/10.25= 3

and if you want to check you can do

10.25(3)+25=

which would equal to 55.75

Answer:

6,000 total items

Step-by-step explanation:

3*600=1800   (total juice)

2*600=1200   (total fruit)

2*600=1200   (total burritos)

2*600=1200   (total doritos)

1*600=600     (total milk)

1800+1200+1200+1200+600=6000

Answer:

$180

Step-by-step explanation:

He earns $9 per hour

we should find how much does he earn for 20 hours

20 × 9

= 180

Step-by-step explanation:

The answer is scalene triangle

Answer:

scalene

Step-by-step explanation:

all the sides of a scalene triangle have different lengths, as shown in the picture :)

Answer:

(2,2)

Step-by-step explanation:

Difference between -2 and 0 is 2 and difference between 4 and 2 is 2

Answer:

difference in y is 6 difference in x is 2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

the bag has nothing purple marbles

Answer:

A Dramatic change in appearance or form

Step-by-step explanation:

Answer:

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

Answer:

Step-by-step explanation:

The general form for a geometric sequence is:

a

n

=

a

1

⋅

r

n

−

1

With this, you can write a system of equations:

a

2

=

a

1

⋅

r

2

−

1

a

5

=

a

1

⋅

r

5

−

1

2

=

a

1

⋅

r

1

0.25

=

a

1

⋅

r

4

r

4

r

1

=

0.25

2

r

3

=

0.125

r

=

0.5

Now, find the first term.

a

2

=

a

1

⋅

0.5

1

2

=

a

1

⋅

0.5

a

1

=

4

Using the formula stated above, we get:

a

n

=

4

⋅

0.5

n

−

1