ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30°
Calculate the size of angle ABC.

Answers

Answer 1

9514 1404 393

Answer:

  ∠B = 40°  or  140°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions.

From the law of sines, ...

  B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)

Possible values for angle B are ...

  B = arcsin(9/14) ≈ 40.0°

  B = 180° -arcsin(9/14) ≈ 140.0°

 ABC Is A Triangle. AC = 9 Cm, BC = 7 Cm And Angle BAC = 30Calculate The Size Of Angle ABC.
 ABC Is A Triangle. AC = 9 Cm, BC = 7 Cm And Angle BAC = 30Calculate The Size Of Angle ABC.

Related Questions

Find the expression for f(x) that makes the following equation true for all values of x 9^x⋅3^x+2=3^f(x).

Answers

Answer:

3x+2

Step-by-step explanation:

khan told me that my explanation

The side of a right triangle opposite the right angle.

Answers

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

Find the perimeter of the given image. Round your answers to the
nearest tenth.

Answers

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31, ...

Answers

Answer:

D

Step-by-step explanation:

The starting term is a1.

That's the very first term.

a1 = - 10

The second term = -17 which means that you added - 7 to - 10.

So d must be - 7

The formula must be

an = a1 + (n - 1)*d

an = -10 + (n - 1)(-7)

You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.

We should try the formula out to see what it does. Let's find a4

a4 = -10 + (4 -1)*-7

a4 = -10 + 3(-7)

a4 = -10 - 21

a4 = - 31 which is what the question suggests.

find the unit rate of computers per day using the graph

Answers

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

Solve for p in the literal equation 2p + 38 = 9.
p =

Answers

Answer:

p = -29/2

Step-by-step explanation:

2p + 38 = 9

Subtract 38 from each side

2p + 38-38 = 9-38

2p = -29

divide by 2

2p/2 = -29/2

p = -29/2

Answer:

p=-14.5

Step-by-step explanation:

2p + 38 = 9

      -38    -38

2p = -29

[tex]\sqrt{2}[/tex]    [tex]\sqrt{2}[/tex]

p = -14.5

The account that appears in the chart of accounts for a merchandising entity but not for a service entity is

Answers

yeshir yeshir is the answer to this question no cap slatt I keep a Glizzy on my side jig

PLEASE HELP!!!!! very urgent asap!!! need help please

Answers

Answer:

easy

Step-by-step explanation:

What is the question


Larry runs a dog-walking service. He charges $5/h plus a flat fee of $6. One day, he earned $16. Determine which
equation represents this.

Answers

Answer:

5h+6=16

Step-by-step explanation:

He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.

Answer:

5(2)+6=16

Step-by-step explanation:

That should be it! Contact me if you need to know why.

Factor the polynomial 3x^2+6x

Answers

Answer:

1. [tex]3x(x+2)[/tex]

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

What is y-10=9(x+8) written in standard form?

Answers

Answer:

y - 9x - 82 = 0

Step-by-step explanation:

Given expression;

y - 10 = 9(x + 8)

Find:

Write into standard form

Computation:

Given expression;

⇒ y - 10 = 9(x + 8)

Using BODMAS role

Multiply 9 into (x - 8)

⇒ y - 10 = 9(x) + 9(8)

⇒ y - 10 = 9x + 72

⇒ y - 9x - 10 = 72

⇒ y - 9x = 72 + 10

⇒ y - 9x = 82

⇒ y - 9x - 82 = 0

Standard form of given expression

y - 9x - 82 = 0

The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm​

Answers

Answer:

Length=15cm

Hope this answer is right!!

Step-by-step explanation:

Length be 3 cm longer than the breadth.

So, x=y+3

Perimeter = 2(x+y)54

So, x+y=27 =>x=15

x-y=3 =>x=12

So, length is 15 cm

Linear equation


Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?

Answers

Answer:

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.

What is the domain to this graph

Answers

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

help
PLEASE HEPP ME PLEASE

Answers

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

         84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Height of 1/2 of glass #2

84.8+ 56.5 = 141.41

thus 1/2 of #2 = 70.5

70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)

14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) =   .48

total height = 3.48

WHAT IS THE VALUE OF ANGLE N?

Answers

Answer:

32 degrees

Step-by-step explanation:

An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees

1. What percentage of the students like football? a. 25% b. 30% c. 35% d. 40% 2. How many students prefer swimming? lime a. 100 b. 120 C. 130 d. 140 3. How many students do not like volleyball the most? a. 140 b. 240 C. 340 d. 440 4. How many students were asked about their favorite sport? a. 400 b. 300 c. 200 d. 100 pakisagot po please asap po​

Answers

Step-by-step explanation:

the answer is in the above image

Find the square root of 75​

Answers

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

The table shown below represents a function. Which of the following values could not be used to complete the table?

Answers

Answer:

-5

Step-by-step explanation:

For a given x value a function can have only one y value.

-5 cannot have both 15 and 20 as the y value

need to find volume, step by step explanation pls



Answers

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

4. Find H. C.F. of 60,75 & 90​

Answers

Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15

Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?

Answers

Answer:

1

Step-by-step explanation:

that's a very vague question

Multiply (−4) × (−2) × (−5).

Answers

Answer: -40 or negative forty

Step-by-step explanation:

Answer: (-4) * (-2)= 8
(-5) * 8= -40

-40

Hope this helps :))

prt.3 identify the slope

Answers

Answer:

m = - 2

Step-by-step explanation:

First coordinate : ( -2 , 9 )

Second coordinate : ( 1 , 3 )

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

Substituting,

m = ( 3 - 9 ) / ( 1 + 2 )

m = - 6 / 3

m = - 2

If this helps you, please mark brainliest!

What is the measure of A

Answers

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

[tex]\angle ACB\cong \angle DCE[/tex]            (Vertically opposite angles)

[tex]m\angle ACB=m\angle DCE[/tex]              (Congregant angles)

[tex]m\angle ACB=8x+4[/tex]

Using exterior angle theorem in triangle ABC, we get

[tex]m\angle A+m\angle C=\text{Exterior }m\angle B[/tex]

[tex]m\angle BAC+m\angle ACB=130^\circ[/tex]

[tex](3x-6)+(8x+4)=130^\circ[/tex]

[tex]11x-2=130^\circ[/tex]

Isolate the variable term x.

[tex]11x=130^\circ+2[/tex]

[tex]11x=132^\circ[/tex]

[tex]x=\dfrac{132^\circ}{11}[/tex]

[tex]x=12^\circ[/tex]

Now, the measure of angle A is:

[tex]m\angle A=3x-6[/tex]

[tex]m\angle A=3(12^\circ)-6[/tex]

[tex]m\angle A=36^\circ-6[/tex]

[tex]m\angle A=30^\circ[/tex]

Therefore, the correct option is B.

Solve 5x + 6 = 3x - 10​

Answers

[tex]\boxed{x\:=\:-8 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➺ \: 5x - 3x = - 10 - 6[/tex]

[tex]➺ \: 2x = - 16[/tex]

[tex]➺ \: x = \frac{ - 16}{2} [/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]

[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]

[tex]➼ \: - 34 = - 34[/tex]

[tex]➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8

Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15

Answers

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

20 : 15 = 20/15 : 15/15 = 4/3 : 1

n = 4/3 which is simple but some people prefer 1 1/3

Sesame Company purchased a computer system for $74,000 on January 1, 2018. It was depreciated based on a 7-year life and an $18,000 residual value. On January 1, 2020, Sesame revised these estimates to a total useful life of 4 years and a residual value of $10,000. Sesame's depreciation expense for 2020 equal to:

Answers

Answer: $24000

Step-by-step explanation:

Depreciation for 2018 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation for 2019 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation up to 2019 = $8000 + $8000 = $16000

Book value at end of 2019 = $74000 - $16000 = $58000

Revised residual value = $10,000

Number of remaining years = 4-2 = 2 years

Depreciation expensed for 2020 will be:

= ($58000 - $10,000) / 2

= $48000/2

= $24000

determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )

Answers

Answer:245

Step-by-step explanation:

Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?
she accidentally kicked a boomerang
she kick it up
it isn't
she kick it left to the wall

Answers

Answer:

She kicked it up

Step-by-step explanation:

How is this math?

I believe your answer is B.) She kicked it up. Think about it, if she kicks it straight up, it goes up ten feet, and then it comes back down (Revered direction) to her.

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