Use the law of sines to find the value of a.
B
95°
D
40°
a
4.7 cm
С
sin(A)
a
sin(B)
Law of sines:
sin(C)
C

Answers

Answer 1

Answer:

Step-by-step explanation:

''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''

Answer 2

The best approximation value of a by using sine rule is 3.0cm. so option C is correct.

What is sine rule?

The sides and angles of non-right triangles are related according to the Law of Sines.

The relationship between the angles and lengths of the sides:

a/sinA = b/sinB = c/sinC

We know according to law of sines:

a/sinA = b/sinB = c/sinC

by putting the values we can write,

a/sin40° = 4.7/sin95°

a = (4.7 ×sin40°)/sin95°

  =  3.032

by putting the value of Sin40° and Sin95°.

we get a = 3.03cm.

Approximation value of a is 3.0cm.

To know more about sine rule check:

https://brainly.com/question/26952873

#SPJ7

The complete question:

what is the best approximation of the value of a?

2.4 cm

2.7 cm

3.0 cm

3.3 cm

Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.


Related Questions

If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18

Answers

Answer:

D

Step-by-step explanation:

To shift h units to the right, replace x with x - h

To shift h units to the left, replace x with x + h.

To shift k units up, add k to the end of the formula for the function.

To shift k units down, subtract k from the end of the formula.

Example:  [tex]y=x^2[/tex]

[tex]y=(x+2)^2+6[/tex] is [tex]y=x^2[/tex] shifted left 2 units and up 6 units.

Caution: the right/left shifts sometimes look backwards!

help please sos need help!!​

Answers

Answer: Plant 1!

Step-by-step explanation:

PLS DO THIS
NO LINK I WILL REPORT U​

Answers

Answer:

The mode is the number that occurs the most which would be 8.

Step-by-step explanation:

For example

2, 3, 4, 4, 5

The mode would be 4 since it's the most frequent.

Evaluate the function: f(-1/2)=8(-1/2)-3

Answers

Answer:

[tex]f=14[/tex]

Step-by-step explanation:

Type of angle:
Angle measures:

Answers

Answer:

The angle type is acute

Step-by-step explanation:

It's smaller than 90 degrees

can someone do #2 pls

Answers

Answer:

its f

Step-by-step explanation:

Graph y=2x^2 please help

Answers

Answer:

there you go

Step-by-step explanation:

Here you go I hope this is correct

hereeeeeee plsssssss answeeeeerrrr im desperateeeee wil give brainliest plus 25 points!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

look at the lines. the first line is at the 58 mark.

next one is at the 70, then 78, 86, and 96.

help pls ill give brainliest

Answers

x > two is the right answer

A bag contains 3 red and 2 blue counters. A counter is picked at
random and then replaced, 40 times. How many red counters do
you expect?​

Answers

Answer:

24.

Step-by-step explanation:

The fraction of red counters in the bag = 3/5.

So you'd expect 3/5 * 40

= 120/5

= 24.

The surface area of a sphere is 9\piπ cm2. What is the volume?

Answers

Answer:

[tex] \frac{9}{\pi} = 4 \times \pi \times {r}^{2} \\ {r}^{2} = \frac{9}{4 {\pi}^{2} } \\ r = \frac{3}{2\pi} \\ volume = \frac{4}{3} \times \pi \times {r}^{3} \\ v = \frac{4}{3} \times \pi \times \frac{27}{8 {\pi}^{3} } \\ v = \frac{9}{2 {\pi}^{2} } [/tex]

If you were to 'unroll' the cylinder you would find the side is actually ALWAYS a rectangle when flattened out?

Answers

Answer:

Yes

Step-by-step explanation:

It's harder to explain but think logically about it or get or get a piece of paper. Then roll it up in as many different ways that u can think of into a cylinder. If u unroll it then I I'll always be a rectangle  

HELP MEEEEEEEEEE SOOOOOO EASY PLEASE AND BRANLIEST TOOOOOO (07.04 LC)What is the solution to the equation fraction 1 over 3x = 6?

x = 18
x = 2
x = fraction 1 over 2
x = fraction 1 over 18

Answers

Answer:

x = 2

divide each term by 3 and simplify.

Answer:

I did the quiz and it is B

Step-by-step explanation:

Solve the system of linear equations by substitution.
2-y= 5
x + 3y = 9
The solution is (OO).

Answers

Answer:

x = 13, y = -3

Step-by-step explanation:

Jamir loves baseball! He collects baseball cards. He had a total of 50 cards. He gave his best friend Jakobi 10 of his cards, and his brother 15. What fraction of cards does Jamir have left?

Answers

Answer:

1/2

Step-by-step explanation:

10+15=25

i love baseball too i play it

Answer:

1/2

Step-by-step explanation:

original amount 50

what he gave away 10+15 = 25

50-25= 25

he has 25 left

25/50 = 1/2

Shen paid $14.98 for a 7.26 KG bag of dog food. A few weeks later he paid $17.54 or 7.94 kg bag. Find the unit price for each bag.

Answers

Answer:

1. Shen payed around $2.06 for the first bag of dog food.

2. Shen payed around $2.21 for the second bag of dog food.

Step-by-step explanation:

First, you have to do 14.98/7.26 to get around 2.06

Then, you do 17.54/7.94 to get around 2.21

Hope this helps!

2. The fabric wall hanging has an area of
112 square feet. The width is 8 feet.
What is the length?

Answers

Answer:

length = 14 feet

Step-by-step explanation:

112/8 = 14 feet

Answer:

14

Step-by-step explanation:

well we already can tell the no number under 10 will be eligible

so lets keep going

11, no it would only make 88,

12=96

13=104

14=112

the answer is 14

Please solve this MATH Question!!!

Answers

Answer:

111.79 cm³

Picture down below with an explanation.

Please give Brainliest

Have a great day! :)

Use the value 3.14 for pi and do not round your answers. Be sure to include the correct units in your answers

Answers

Answer:

C= pi x diameter

5 x 3.14 = 15.7

hope that answers your question

Step-by-step explanation:

What is the slope of a line that goes through (3, -2) and (-2, 5) ?

Answers

Answer:

-7/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(-2-3)

m=(5+2)/-5

m=7/-5

Ernest's dining room is 19 feet wide and 21 feet long. Ernest wants to install wooden trim around the
top of the room. The trim costs $0.69 per foot. How much will it cost Ernest to buy enough trim?

Answers

Answer:

$55.20

Step-by-step explanation:

19x2=38

21x2=42

42+38=80

80x.69=55.2

Which expression is equivalent to if no denominator equals zero? A. B. C. D.

Answers

Answer:

Answer: C. -r/3

Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.

Are these two angles complementary, supplementary, or neither? NEED HELP ASAP


A Complementary Angles

B Supplementary Angles

C Neither

Answers

Answer:

A Complementary Angles

Step-by-step explanation:

How do I find the volume of this?​

Answers

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

3. The fish tank shown at right needs to be cleaned. The cleaning product instructions state that three drops should be put in the tank for every 140 cubic inches of water. How many drops of cleaner should be used?​

Answers

Drops = 27

First, we need to find the volume of the given tank using the following equation

[tex]Volume = Length*Width*Height\\Volume =14*9*10\\Volume =1260\\[/tex]

Now that we know the volume, we need to find out how many drops that we need to use. We can find that out using the following equation

[tex]Drops = 3\frac{Volume}{140} \\Drops = 3\frac{1260}{140} \\Drops = 3(9) \\Drops = 27[/tex]

a school has 415 third grade and 338 second graders how many more third graders are there than second graders?

Answers

Answer:

There are 77 more third graders than there are second graders.

Step-by-step explanation:

You just have to subtract 338 from 415 to get your answer.

There are 77 more third graders you can find this by doing 415-338.

A 10 cm line segment is drawn from the center of the circle to a point on the circle. How long is the diameter of the circle in centimeters? Answer using only a number.

Answers

Answer:

do it yourself

Step-by-step explanation:

djhdsaiwhjqaa

El árbol del Tule es un frondoso Sabino que tiene 14 metros de diámetro
de más de 30 personas tomadas de la mano para poder rodearlo en su totalidad.
en su tronco y una circunferencia mayor de 45 metros, mismo que requiere
Cuando el angulo de inclinación del sol es de 35°, este milenario árbol
proyecta una sombra que mide 295 metros. Con estos datos, ¿es posible
conocer la altura de este icono de nuestro estado?

Answers

Can you translate to English maybe?

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

Answer:

D. (3x² + 10w + 8) square inches

Step-by-step explanation:

the new width of the rectangle: w + 2

the new length of the rectangle: 3w + 4

the area: (w + 2)(3w + 4) = 3w² + 10w + 8

Daniel has 5 tiles, numbered 1 to 5, in a box.

* He randomly pulls out a tile and records the number.

* He places the tile bak into the box.

* He then pulls out another tile and records the number.

What is the probability the sum of the numbers on the two tiles is 8?

Group of answer choices

1/5

3/5

1/25

3/25

Answers

Answer:

3/25

Step-by-step explanation:

that's the answer I don't how to explain it

Answer: 1/25

Step-by-step explanation: The theoretical probability for any of the 5 tiles to be drawn is 1/5

1/5 x 1/5= 1/25

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