find the measure of the third angle of a triangle if the measures of the other two angles are given 118.6 and 42.3

Answers

Answer 1

Answer:

[tex]\boxed{\bold{\huge{\boxed{\mathrm{Third\ Angle = 19.1\ degrees}}}}}[/tex]

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. So, to find an unknown interior angle, we need to subtract rest of the two angles from 180 degrees.

So,

Third Angle = 180 - 118.6 - 42.3

Third Angle = 19.1 degrees


Related Questions

I need help! Please. Justify answer using Intermediate value theorem (IVT)

Answers

Step-by-step explanation:

N(t) is continuous at t = 6, so f(6) = 25(6) + 150 = 300.

f(0) = 80.

f(t) is continuous, so by Intermediate Value Theorem, f(t) must equal 250 at some point between t=0 and t=6.

5. Based on the data in the table, how many
members would you expect in the band in 2018?
Year
Year Number of Band
Members
2014 40
2015 46
2016 54
2017 64

Answers

You can expect 76 students in 2018 because from 2014 to 2015 it went up 6, then 8, then 10 so it would increase 12 students from 2017 to 2018

A sequence is defined as an arrangement of numbers in a particular order.

The number of Band members in the year 2018 is expected to be 76.

What is a sequence?

A sequence is defined as an arrangement of numbers in a particular order.

We have,

Year         Number of Band members

2014        40

2015        46

2016        54

2017         64

We can make a sequence with the number of band members that increases each year.

i.e

40  46  54  64

We see that,

46 - 40 = 6

54 - 46 = 8

64 - 54 = 10

We see that the difference between the consecutive terms is increasing by 2.

So, the next term in the sequence will be 64 + 12 = 76.

Thus the number of band members in the year 2018 is expected to be 76.

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In the figure points A B C D and E are collinear. If AE = 38 and BD = 15

Answers

Answer:

D. 30.5

Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

45/2 = BE

22.5 = BE

BE = 22.5

Find AB:

AB + BE = AE (segment addition postulate)

AB + 22.5 = 38 (Substitution)

AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

Find length of segment AD:

AB + BD = AD (segment addition postulate)

15.5 + 15 = AD (Substitution)

30.5 = AD

AD = 30.5

What is the solution to the equation 1 + 3x = -13 + 5x? Convert your answer to a decimal, if necessary.

Answers

Answer:

x=7

Step-by-step explanation:

[tex]1 + 3x = - 13 + 5x[/tex]

Collect like terms and simplify

[tex]3x - 5x = - 13 - 1 \\ - 2x = - 14[/tex]

Divide both sides of the equation by -2

[tex] \frac{ - 2x}{ - 2} = \frac{ - 14}{ - 2} [/tex]

Simplify

[tex]x = 7[/tex]

Answer:

Step-by-step explanation:

1 + 3x = 5x - 13

-2x + 1 = -13

-2x = -14

x = 7

A product costs $70 today, how much will the product cost in t days if the price is reduced by $5 a day

Answers

Answer:

P ($)=70-5(t)

Where p = price at t days

t = number of days

Step-by-step explanation:

The product price initially = $70

Now, every day , it reduces $5

The rate=$5 per day reduction

The price in the days will be determined by the formula below

P ($)=70-5(t)

Where p = price at t days

t = number of days

So let's assume it's on the second day

The price after the second day

P($) = 70-5(2)

P($) = 70-10

P($)= $60

The price after two days will be reduced to $60

An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing for every 8 meters on the sculpture. What is the area of the scale drawing? Show your work.

Answers

Answer:

Area of drawing= 0.315 m²

Step-by-step explanation:

Base = 6m

Height = 4.2 m

Area = height* base

Area= 4.2*6

Area= 25.2 m²

The scale is 10 cm on the drawing for every 8 meters on the sculpture.

Which is 10 cm to 800 cm

Or

0.1m to 8m

Arra of sculpture= 25.2 m²

area of drawing= (25.2*0.1)/8

Area of drawing= 0.315 m²

Somebody please help!!!
(Dont judge me I forgot)

Answers

Answer:

16. 200+3

17. 30+4+0.1+0.02+0.007

18. 200+70+6+0.1+0.03

19. 30000000+4000000+100000+20000+3000+6

Step-by-step explanation:

what is the slope and the g intercept ? ( i added the picture )

Answers

Step-by-step explanation:

A straight line graph is of the form:

y = mx+b

So we get our equation in this form:

9=2x+3y

or, 9-2x=3y

or, -2x+9 = 3y

or, y= (-2x+9)/3

or, y = -2/3x + 3

So,

Slope(m)=−2/3

y-intercept (b) = 3

Therefore, slope(m) is -2/3x and y-intercept(b) is 3.

McCoy Brothers manufactures and sells two products, A and Z in the ratio of 5:2. Product A sells for $86; Z sells for $124. Variable costs for product A are $45; for Z $49. Fixed costs are $429,500. Compute the contribution margin per composite unit.

Answers

Answer:

the contribution margin per composite unit is $365

Step-by-step explanation:

The computation of the contribution margin per composite unit is shown below:

= Contribution margin per unit for product A × ratio of A + Contribution margin per unit for product B × ratio of B

= ($86 - $45) × 5 + ($124 - $49) × 2

= $205 + $160

= $365

Hence the contribution margin per composite unit is $365

Rachael gets 94 marks in her exams.these are 47% of the total marks.find the maximum number of mark​

Answers

Answer:

200 is the maximum amount

Step-by-step explanation:

94x100=9400

9400/47=200

can i have brainliest?

Question
of 27
Which of the following shows an element of the sample space for first
tossing a coin and then rolling a number cube?
Α.Τ, Η
B. T, 2
C. 6,1
D. 4, H

Answers

B. T, 2 because it just is

The sample space for first tossing a coin and then rolling a number cube is (T, 2).

What are Outcomes of Probability?

An outcome is a possible result of an experiment or trial in probability theory. Each experiment's possible outcomes are distinct, and alternative outcomes are mutually exclusive (only one outcome will occur on each trial of the experiment).

As, the outcomes for tossing a coin is Head (H) and Tail (T).

and, the outcome for rolling a die

{1, 2, 3, 4, 5, 6}.

So, the sample space for first tossing a coin and then rolling a number cube

= ( T, 2)

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41 2/3 divined by 4 1/4

Answers

Answer:

Exact form: [tex]9 \frac{41}{51}[/tex]

Decimal form: [tex]9.80392156[/tex]

Step-by-step explanation:

[tex]41\frac{2}{3}[/tex] ÷ [tex]4\frac{1}{4}[/tex]

Let's put everything into a fraction.

[tex]\frac{41\frac{2}{3} }{4\frac{1}{4} }[/tex]

Now we have an answer.

Exact form: [tex]9\frac{41}{51}[/tex]

Decimal form: [tex]9.80392156[/tex]

Hope this helps!

is 5(a + b) and (a + b)5 equal?

Answers

Answer:

yes totally

Step-by-step explanation:

5a+5b=5a+5b

Yes both of them are equal

Simplify 200xyz3 .

Answers

Simplify the Integer part of the SQRT

Step-by-step explanation:

Factor 200 into its prime factors

           200 = 23 • 52 

Hiii, helpp thxxxxxx

Answers

Answer:

because angles on a straight line add up to 180 degrees substract (180-110), step 2; you will get 70 degrees afterwards the angle y is perpendicular it's 90 degrees.step 3;add (90+70) you get 160 .step 4;then substract (180-160) you get your answer as 20 degrees

Answer:

x = 20º

Step-by-step explanation:

Since it is a triangle, the sum of the internal angles is 180º.

We know that y = 90º, because 110º + 70º = 180º, and the line intercepts it, splitting the larger triangle into 2.

Since, y = 90º, and the other angle is 70º, we add those together to 160º.

Then, we take 180º - 160º = 20º.

x = 20º

Hope this helps.

:)

for what value of c is the relation a function?

Answers

Answer:the answer is 1, b option i just take the tes

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

the answer is one

what are the steps for multiplying monomial algebraic terms where they have exponents with like bases

Answers

Answer:

See below.

Step-by-step explanation:

Rule:

[tex] a^m \times a^n = a^{m + n} [/tex]

Explanation:

When multiplying monomials with the same base, write the same base and add the exponents.

Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is 1. -0.
Give an equation which describes the intersection of this sphere with the plane z = 0.

Answers

Answer:

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

Step-by-step explanation:

The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

From the question:

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

Open the brackets and have the following:

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [equation has already been normalized since the coefficient of x² is 1]

Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [subtract 25 from both sides]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

What is the value of the product (3 – 2i)(3 + 2i)? 5 9 + 4i 9 – 4i 13

Answers

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i)

as (a+b)(a-b) =a²-b²

3²-(2i)²

=9-(4*-1)

=9-(-4)

=9+4

=13

Hope this helps you!

Answer:

13

Step-by-step explanation:

3^2=9, 2i*(-2i)=-4i^2=4

the 6i and -6i cancel leaving the positive 9 and 4

9+4=13

Mary brought chocolate and vanilla cupcakes to school for her birthday. 21 students picked a vanilla cupcake and 7 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

75%

Step-by-step explanation:

Total = 21 + 7

         = 28 cupcakes

Vanilla cupcakes = 21 / 28 x 100

                             = 0.75 x 100

                             = 75%

Answer:

75%

Step-by-step explanation:

21+7=28

21 divided by 28 is equal to 0.75. 0.75 x 100 = 75%

Please choose my answer as the brainliest. It gets me to the next level!

Solve for x
X + 2w = m

Answers

Answer:

X = m - 2w

Step-by-step explanation:

just isolate the variable.

Answer:

x=m-2w

Step-by-step explanation:

Just take the +2w to the other side where it becomes negative.

simplify
4( 2u - 2) - 3(u + 5)​

Answers

Answer:

5u - 23

Step-by-step explanation:

Answer:

4( 2u - 2) - 3(u + 5)​

(4*2u + 4*-2)-(3*u + 3*5)

8u-8-3u+15

8u-3u-8+15

5u+7

Step-by-step explanation:

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!

I will give the brainiest

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more
per pound than the almonds. She pays a total of $48. Select all the correct statements about
this situation.

A.One pound of pistachios plus 1 pound of almonds cost $20.

B.Reducing the number of pounds of almonds by one results in a total cost of $40.

C.The pistachios cost twice as much per pound as the almonds.

D.The costa, in dollars of 1 pound of almonds is modeled as 2(a - 4) + 3a = 48.

E.
The cost p, in dollars, of 1 pound of pistachios is modeled as 2p + 3(p - 4) = 48.

Answers

Answer:

A;C;E

Step-by-step explanation:

Let cost of almond per pound be X

Cost of 3 pounds of almonds=3X

cost of pistachios per pound = X+4

Cost of 2 pounds of pistachios=2X+8

Total cost=5X+8=48

5X+8=48

5X=40

X=8

cost of one pound almond is $8

cost of one pound pistachios is $12

Please mark it brainly

Find the area of each

Answers

Answer:

The area should be 56.4

Step-by-step explanation:

When you try to find the area of a triangle you have to multiply the base and height, which was 12km and 9.4 km,and you divide it by 2.


A machine was able to make 32 bags of Hot Cheetos in 8 seconds. What is
the rate made per second? *

Answers

Answer: 32÷8=4

Please brainliest

shipping box that is length=3 3/4ft width=3ft height=3 1/4 what is the volume and how to work it out

Answers

Answer:

36 9/16 ft^3

Step-by-step explanation:

volume = length * width * height

volume = 3 3/4 ft * 3 ft * 3 1/4 ft

Change all mixed numerals to fractions.

volume = 15/4 * 3/1 * 13/4 ft^3

volume = 585/16 ft^3

volume = 36 9/16 ft^3

Find and simplify the following for f(x)= x(21-x), assuming h#0 in (C). (A) f(x +h) (B) f(x+h) – f(x) (C) f(x+h) – f(x) (D) f(x+h)=

Answers

Answer:

A

[tex]f(x + h) = 21x -x^2 -2xh+ 21h+h^2[/tex]

B

[tex]f(x-h)-f(x) = 21h+h^2 -2xh[/tex]

C

[tex]\frac{f(x-h)-f(x)}{h} = 21+h -2x[/tex]

Step-by-step explanation:

From the question we are told that

   The equation given is

                    [tex]f(x) = x (21 - x )[/tex]

Considering  A

      [tex]f(x + h) = (x + h) (21 - (x + h))[/tex]

      [tex]f(x + h) = (x + h) (21 - x - h)[/tex]

      [tex]f(x + h) = 21x -x^2 -2xh+ 21h+h^2[/tex]

Considering B

       [tex]f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -[ x(21 -x)][/tex]

        [tex]f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -21x + x^2[/tex]

       [tex]f(x-h)-f(x) = 21h+h^2 -2xh[/tex]

Considering C

       [tex]\frac{f(x-h)-f(x)}{h} = \frac{21h+h^2 -2xh}{h}[/tex]  

       [tex]\frac{f(x-h)-f(x)}{h} = \frac{h(21+h -2x)}{h}[/tex]

       [tex]\frac{f(x-h)-f(x)}{h} = 21+h -2x[/tex]

design a Boolean circuit that verifies whether a given integer 0 ≤ x < 16 is divisible by 5

Answers

This question is incomplete, the complete question is;

Your boss asks you to design a Boolean circuit that verifies whether a given integer 0 < x < 16 is divisible by 5.

Every such number is represented in binary using four bits, say b₃b₂b₁b₀, and so your Boolean circuit will have four inputs. For instance, the number 13 is written in binary as 1101 and so to test its divisibility by 5 a user would feed the values b₀ = 1, b₁ = 0, b₂ = 1, and b₃ = 1 into the inputs of your circuit.

The Boolean circuit will have a single output, which should deliver the value 1 if the iput values represent a number that is divisible by 5 and 0 otherwise.

a) write down the truth table of the Boolean function F(b₀,b₁,b₂b₃) that implements this "divisible by 5" operation

b) construct a Boolean expression in disjunctive normal form that implements the Boolean function yo wrote down in a)

Answer:

Given that;

integer range = 0≤ x ≤ 16

within 4bits, we can represnt each number

(0,5,10,15)

a)  

Truth table for function that implements  divisible by 5

Integer    B3    B2    B1    B0     Y

0              0       0      0      0      1

1              0       0      0       1      0

2              0       0      1        0     0

3              0       0      1        1      0

4              0       1       0       0     0

5              0       1       0       1      1

6              0       1       1        0     0

7              0       1       1        1       0

8              1       0      0        0      0

9              1       0      0        1       0

10             1       0      1         0      1

11              1       0      1          1      0

12             1        1      0         0     0

13             1         1     0          1      0

14             1         1       1         0     0

15            1         1        1        1       1

b)

Boolean expression that implements the Boolean function from a)

from the truth table;

Boolean expression Y is;

Y = b⁻₃b⁻₂b⁻₁b⁻₀ / y₁   +   b⁻₃b₂b⁻₁b₀ / y₂   +   b₃b⁻₂b₁b⁻₀ / y₃   +   b₃b₂b₁b₀ / y₄

Answer:

  circuit is in the second attachment

Step-by-step explanation:

Attached is a truth table for the desired circuit, where b3–b0 are the input bits, MSB–LSB. We notice that the output is true whenever b3=b1 and b2=b0. This can be written in DNF as ...

  [tex]Y=b_3'b_2'b_1'b_0'+b_3b_2'b_1b_0'+b_3'b_2b_1'b_0+b_3b_2b_1b_0[/tex]

More compactly, it can be written in terms of the exclusive-nor function as ...

  [tex]y=(b_3\odot b_1)\wedge(b_2\odot b_0)[/tex]

A circuit diagram showing this circuit is the second attachment. (A–D are the input bits, in order MSB–LSB (or its reverse)).

Circle the letter for the correct answer.
7 Last summer, we drove cross-
country. The road trip was a total
of 6,765 miles. If we go the same
distance each day for 33 days,
what was the average number of
miles we drove each day?

Answers

Answer:

Step-by-step explanation:205

solve the equation

[tex] 5 = \frac{z}{4} - 3[/tex]

Answers

Answer:

z=32

Step-by-step explanation:

[tex]5=\frac{z}{4}-3[/tex]

[tex]\frac{z}{4}-3=5[/tex]

[tex]\frac{z}{4}=5+3[/tex]

[tex]\frac{z}{4}=8[/tex]

[tex]z=8\cdot \:4[/tex]

[tex]z=32[/tex]

The answer to the equation is z=32
Other Questions
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