С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С

AFind All The Missing Elements:BA = 40a = 8b = 7bB = [?] C = [ ] C = [ ]Round To The Nearest Tenth.C

Answers

Answer 1

Answer:

B=34.2

C=105.8

c=12.0

Step-by-step explanation:

find B using the sine rule

(sin40÷8)=(sinB÷7)

rearrange

sin B= (sin40x7)÷8

sin B=0.562

make sure to use your calculator

then press shift sin to find B

B= 34.2°

to the nearest tenth means to 1 decimal place

sum of angles in a triangle is 180

so 180-(40+34.2)=105.8°=C

use sine rule again to find c

(sin105.8÷c)=(sin40÷8)

rearrange

c= (sin 105.8x8)÷sin40

c=12.0


Related Questions

Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.



plz help

Answers

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.

We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."

Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.

please help 100points!!!!
And I will make brainiest
only if there is a good explanation.

Answers

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

What is the vertex for y=x^2-3+2

Answers

Answer:

-1

explanation:

because I used a graphing calculator

Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour​

Answers

Answer:

He walked at 1 mile per hour

Step-by-step explanation:

Answer:

He walked at 1 mph

Step-by-step explanation:

Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answers

Answer:

27 years old

Step-by-step explanation:

Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s  ⇒ r = 0.45s

Sum of ages:

d + s + l + r = 141

Substitute and solve for s:

0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60

Rachel's age is:

r = 0.45*60 = 27

For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?

1a. What does the variable "x" represent?

1b. What equation represents this word problem?


1c. What is the solution to the word problem?


(Please help me with this quiz)

Answers

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?

Answers

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?

Answers

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)

Hope this helps :D

Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

please refer to the above attachment

(D) is the right answer.

Evaluate the following logarithm 3/4log16

Answers

Log(8) or 0.9038
Hope this helps
i got the same as the person above!!

Find the value of X.

Answers

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

20 is the right answer.

Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?

Answers

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall

if tñ=2ñ+3, find S10​

Answers

Answer:

[tex]S_{10}=280[/tex]

Step-by-step explanation:

Given that,

[tex]t_n=2n+3[/tex] ...(1)

We need to find the value of [tex]S_{10}[/tex].

Put n = 1 to find the first term.

[tex]t_1=2(1)+3=5[/tex]

Put n = 2 to find the second term.

[tex]t_2=2(2)+3=7[/tex]

Put n = 3 to find the third term.

[tex]t_3=2(3)+3=9[/tex]

Put n = 10 to find the tenth term.

[tex]t_{10}=2(10)+3=23[/tex]

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]

We have, n = 10, a = 5 and [tex]a_n=23[/tex]

So,

[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]

So, the value of [tex]S_{10}[/tex] is equal to 280.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

Scale factor = 1.5

Step-by-step explanation:

Formula for the scale factor,

Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]

In this question, image is triangle Y and preimage is triangle X.

Scale factor of X to Y = [tex]\frac{15}{10}[/tex]

                                    = 1.5

Therefore, scale factor = 1.5 is the answer.

what is the the y intercept of the function f(x)=-2/9X+1/3?​

Answers

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

Find the missing angle m

Answers

Answer:

m∠BAC=135°

Step-by-step explanation:

360- 84=276

276-141=135

Hope this helps!

Please mark me brainliest if you can. :)

Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof

Statement Reason
1.
LA ≅ ?? Given

Given
2.
TA ≅ ??? Reflex Prop.

3. ∠LAT≅∠ ??? ???

4. △LAT≅△ ??? ???

Answers

Answer:

I don't know all of these, but I do know some.

Step-by-step explanation:

1. LA ≅ SA Given

2. I'm sorry I don't know this

3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.

4. △LAT≅△ TAS and I believe it's SAS for the reason.

Answer:

Answers in explanation

Step-by-step explanation:

LA ≅ SA              |  Given

TA ≅ TA              |  Reflexive Property

∠LAT ≅ ∠SAT    |  Definition of angle bisector

△LAT ≅ △SAT   |  SAS

How to Simplify (7x+2)+(x+8)-2x

Answers

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

The student population of a school consists of 300 girls and 500 boys

Answers

Answer:

In all you have 800 students.

The ratio of girls to boys is 300:500

500 x 300 = 150000

Step-by-step explanation:

Hope this helps?

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.

Answers

Answer:

46.2

Step-by-step explanation:

46.188= 46.2

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?

Answers

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

Solve the following equation.
7(x - 2) = 3(x + 4)
X = ?

Answers

Answer:

x=6.5

Step-by-step explanation:

Don't worry I just know

Answer:

X = 13/2

Step-by-step explanation:

7(x-2)=3(x+4)

Distribute

7x - 14 = 3x + 12

-3x from both sides

4x -14 = 12

Add 14

4x = 26

Dive by 4

X = 13/2

If u simplify 26/4

Solve the triangle given that a=19 b=16, c=11.

Answers

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y

Answers

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Can any of you plz answer? (math)

Answers

Omg I took that lesson on I ready, your answer is 4 (please mark brainliest)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

1/6 of 3 and 1/6 x 3

Help who ever. actually helps me gets brainliest.​

Answers

Answer:

A, C

Step-by-step explanation:

6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2

dividing 6 by 1/2 is the same as multiplying 6 by 2

here’s the other one

Answers

Answer:

it is A

Step-by-step explanation:

Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

1.1.4 Practice: Scale Drawings

Practice

Math 7 Sem 2

Points Possible:5

Name:



Date:



Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment

Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.

Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.

Adam says he knows another way.


Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.

1. What is the area of the board shown on the scale drawing? Explain how you found the area.


Write your answer in the space below.















2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.


Write your answer in the space below.















3. What is the area of the actual electronics board?


Write your answer in the space below.

Answers

Answer:

so over alll I got 1800

Step-by-step explanation:

for number 1

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