An isosceles triangle has legs of length 12 and base angles that measure 28°. What is the measure of its base to the nearest tenth? Be careful on this one.

An Isosceles Triangle Has Legs Of Length 12 And Base Angles That Measure 28. What Is The Measure Of Its

Answers

Answer 1

Answer:

base = 21.2

Step-by-step explanation:

Let the base be 2x

Drawing a perpendicular bisector divides the bases into 2 equal parts.

Then using trigonometric ratio :

[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]   , [tex][ \ where \ \theta = 28^{ \circ} , \ adjacent = x,\ hypotenuse = 12 \ ][/tex]

An Isosceles Triangle Has Legs Of Length 12 And Base Angles That Measure 28. What Is The Measure Of Its
Answer 2

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the base of the isosceles triangle is 21.19 units.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In order to solve the problem, we will draw a line between the triangle such that it will bisect the angle at the top(∠A) and the base(BC). As shown in the image below.

Now, as we know that the line(AD) is perpendicular to the base(BC) of the isosceles triangle, therefore, using the function of trigonometry in the Δ ABD we can write,

[tex]Cos \theta=\dfrac{BD}{AB}\\\\\\Cos (\angle B)=\dfrac{BD}{12}\\\\\\Cos 28^o \times 12={BD}\\\\BD = 10.5953[/tex]

Now, we know that the line BD divides the base BC into two equal parts, therefore, BD=BC.

BC = BD + DC

BC = 10.5953 +10.5953

BC = 21.19 units

Hence, the length of the base of the isosceles triangle is21.19 units.

Learn more about Trigonometric functions:

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An Isosceles Triangle Has Legs Of Length 12 And Base Angles That Measure 28. What Is The Measure Of Its

Related Questions

Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?

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I can't understand tell me in english

ang tamang yunit para masukat sng area ng panyo ay​

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Answer:

ang sentimeter ay ang tamang yunit ng pagsukat para sa pagsukat sa lugar ng isang panyo

Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1​

Answers

Answers:

10 people absent15 people working in the field onlySee the below image for the venn diagram

=======================================================

Explanation:

35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the office

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
2.Use the distance formula to find BC. Show your work.

Answers

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Distance between B(6, 2) and C(2, -1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] B(6, 2) = (x_1, y_1) [/tex]

[tex] C(2, -1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]

[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]

[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] BC = 5 units [/tex]

Answer:

The person above me has the correct answer and solves it in the correct way.

Step-by-step explanation:

This is what I used as my answer though.

Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2 

BC = √(x2-x1)^2 + (y2-y1)^2 

B = (6,2)

C = (2,-1)

BC = √(2-6)^2 + (-1-2)^2 

BC = √(-4)^2 + (-3)^2 

BC = √16+9

BC = √25

BC = 5

Question 13
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Given the function C(t) = (t – 6)(t + 1)(t – 7)
its C-intercept is=
I
its t-intercepts are =

Answers

Answer:

The c intercept is 42

The t intercepts are: 6, -1 and 7

Step-by-step explanation:

Given

[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]

Solving (a): The c intercept

Simply set t to 0

[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]

[tex]c(0) = (0 - 6)(0 +1)(0-7)[/tex]

[tex]c(0) = (- 6)(1)(-7)[/tex]

[tex]c(0) = 42[/tex]

Solving (b): The t intercept

Simply set c(t) to 0

[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]

[tex](t - 6)(t +1)(t-7) = 0[/tex]

Split

[tex]t - 6= 0,\ \ t +1= 0,\ \ t-7 = 0[/tex]

Solve for t

[tex]t = 6,\ \ t =-1,\ \ t=7[/tex]

Given f(x) = x2 + 24 - 12, find f(3)

Answers

Answer:

f(3) = 12

Step-by-step explanation:

f(3) = (3 x 2) + 24 - 12

     = 6 + 24 - 12

f(3) = 12

If this helps you, please give brainliest!

Answer:

Step-by-step explanation:

f(x) = [tex]x^{2}[/tex] + 24 - 12

substitute 3 inplace of x

f(3) = [tex]3^{2}[/tex] + 24 - 12

=9 + 24 - 12

21

If the question is f(x) = x2 + 24 - 12     {x*2 + 24 - 12}

now substitute 3 in place of x

f(3) = 3*2 + 24 - 12

=6 + 24 - 12

18

Consider a student loan of 15,000 at a fixed APR of 9% for 25 years. A) Calculate the monthly payment B) Determine the tiaras amount paid over the term of the loan C) Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

Answers

Answer:

The monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.

Step-by-step explanation:

Since there is a student loan of 15,000 at a fixed APR of 9% for 25 years, to calculate the monthly payment, determine the tiaras amount paid over the term of the loan, and determine, of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest, the following calculations must be performed:

((15,000 x 0.09) x 25) + 15,000 = X

33,750 + 15,000 = X

48,750 = X

48,750 / (25x12) = X

48,750 / 300 = X

162.5 = X

48,750 = 100

33,750 = X

33,750 x 100 / 48,750 = X

69.23 = X

Therefore, the monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.

Help me pleassseeeee

Answers

Answer:

8x+(-20x)

Step-by-step explanation:

2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method. ​

Answers

Problem:-

2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.

Solution:-

[tex]\sf{Set\:y = 0. Thus, }[/tex]

[tex]\sf\rightarrow{0 = x2 – 3x + 2} [/tex]

[tex]\sf\rightarrow{0 = ( x – 2) ( x – 1)}[/tex]

[tex]\sf\rightarrow{x – 2 = 0 or x – 1 = 0} [/tex]

[tex]\sf{Then\:x = 2\:and\:x = 1}[/tex]

Answer:-The zeros of y = x² – 3x + 2 are 2 and 1.=====================

#CarryOnLearning

(ノ^_^)ノ

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer : 424.875 miles

The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.

To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).

This gives you the answer of 424.875 miles.

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C. Mark all true statements (there may be more than one).

a. The scalar closure axiom is satisfied
b. The additive inverse axiom is not satisfied
c The additive inverse axiom is satisfied
d. The additive closure axiom is not satisfied
e. The scalar closure axiom is not satisfied
f. The additive closure axiom is satsified
g. V is not a vector space over C
h. V is a vector space over C
i. The zero axiom is satisfied
j. The zero axiom is not satisfied

Answers

Answer:

the Scalar Closure axiom is not satisfiedV is not a Vector Space of CThe Additive Closure axiom is satisfied.

Step-by-step explanation:

According to the Question,

Given That, Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C.For V is a vector space over C and V is Set of 3x3 Matrices with Real entries.

Then, For any u,w ∈ V ⇒ u+w ∈ V

And u∈V and z∈C ⇒ z u ∈ V

So, If we take any z= i ∈ C

and V be any 3x3 matrices with Real entrices.

then, z,v ∉ V  ∴z,v Has Complex entries

So, the Scalar Closure axiom is not satisfied

Hence, V is not a Vector Space of C

Any u,w ∈ W ⇒ u+w ∈ V

So, The Additive Closure axiom is satisfied.

You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.

a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.

Answers

It’s A. when sales increases by 1 unit,

Why should people conserve energy? (Please don’t get the answer form the internet)

Answers

People should conserve energy because it produces a higher quality of life. Reduced emissions result in cleaner air quality. It also helps create a healthier planet and helps sustain resources we have.

I don’t understand how to do this.

Answers

Answer:

46degrees

Step-by-step explanation:

From the question, we are told that both triangles are similar, hence;

<E = <S

<D = <R

<F = <T

From triangle DEF

<D + <F + <E = 180

Since <D = <F = 67

67 + 67 + <E = 180

134 + <E = 180

<E = 180 - 134

<E = 46degrees

Since <E = <S, hence the measure of <S  is 46degrees

What is the value of h(2)?

-2

-1

0

3

Answers

It should be 0 and BECAREFUL not 3
I think 0. I think so

solve marked question only !
plz

Answers

Answer:

hello ok I will share u the link where u can find step by step answers

Answer:

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.

A Let tower be AB

Let point be C

Distance of point C from foot of tower = 30m Hence,

BC = 30m

Angle of elevation = 30°

So < ACB = 30°

Since tower is vertical,

< ABC = 90°

Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard . Considering this data how many of the next 90 men who walk by should Bryan expect to have a beard?

Answers

Answer:

27

Step-by-step explanation:

every 30 men = 9 men with beards

you have 30 3 times in 90 so you get 27

60÷2=30

18÷2=9

30 men normal = 9 men with beards

90÷30=3

3×9=27

Q23. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.​

Answers

Answer:

k=7

Step-by-step explanation:

2x+3y=k

2(2)+3(1)=k

4+3=k

k=7

Answer:

7.

Step-by-step explanation:

Substitute x = 2 and y = 1 into the given equation:

2(2) + 3(1) = k

4 + 3 = k

k = 7.

ok and again i just dont understand well so this is why i am asking so many times and u guys and girls are getting alot of points

Answers

Answer:

The answer is A

Step-by-step explanation:

The right answer is A

can we say ((-16)÷4) ÷ (-2) is the same as (-16)÷ (4÷(-2)?

Answers

Answer:

no we can't

Step-by-step explanation:

(-4)÷(-2). (-16÷(-2)

2. 8

[tex]\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}[/tex] 

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

[tex][( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ][/tex]

Let us first solve for L. H. S.

[tex] = [( - 16 )\div 4) \div ( - 2)][/tex]

[tex] = [ (\frac{ - 16}{4} )\div ( - 2)][/tex]

[tex] = \frac{( - 4)}{( - 2)} [/tex]

[tex] = 2[/tex]

Now, R. H S.

[tex]( - 16) \div [4 \div ( - 2)][/tex]

[tex] = \frac{ - 16}{ - 2} [/tex]

[tex] = 8[/tex]

[tex]\sf\purple{L. H. S.\: ≠ \:R. H. S. }[/tex]

Hence, [tex][( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ][/tex]

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

How do I solve this problem in 8th grade math
X - (-25) = -50

Answers

Answer:

try the meeting was a good friend of mine for the first person in my family who has been a great friend for any

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 75}}}}}}[/tex]

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

[tex]x - ( - 25) = - 50[/tex]

➺ [tex] \: x + 25 = - 50[/tex]

➺ [tex] \: x = - 50 - 25[/tex]

➺ [tex] \: x = - 75[/tex]

Therefore, the value of [tex]x[/tex] is -75.

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

[tex]x - ( - 25) = - 50[/tex]

➺ [tex] \: - 75 + 25 = 50[/tex]

➺ [tex] \: - 50 = - 50[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Help me pls this is hard

Answers

Answer:

I guess it is the Answer C

Answer:

C

The distance around the edge of the circle

What is the least common denominator of rational expressions with the given denominators? 4a^2, 6a, and 10b
( please do not respond to this if you are going to spam my question)

Answers

Iondont know sorryy

Orla weighed 3.77kg when she was born.
On Orla's second birthday she weighed 12.8kg.
Calculate the percentage increase in her weight.

Answers

Answer :

70.5% weight increase

The sum of two numbers is 56. Seven times the smaller number is 12 more than three times the larger number. Find the numbers.

Answers

X+y=56
7x-12=3y
7x-3y=12

3x+3y=168
7x-3y=12

10x=180
X=18

56-18=y
Y=38

Answer:

x = 18

y = 38

Step-by-step explanation:

Let the smaller number be = x

Let the larger number be = y

Sum of the number, x + y = 56 --------- ( 1 )

Seven  times smaller number = 7x

Three times larger number = 3y

Seven times smaller = 12 more than 3times larger , 7x = 12 + 3y ----- ( 2 )

Solve ( 1 ) and ( 2 )

x + y = 56  => x = 56 - y

Substitute x in ( 2 )

7x - 3y = 12

7(56 - y) - 3y = 12

392 - 7y - 3y = 12

-10y =  12 - 392

-10y = - 380

y = 38

Substitute y in ( 1 )

x + y = 56

x + 38 = 56

x = 56 - 38

x = 18

What’s the domain of the function?

Answers

Answer:

domain of function refers to the various values that can be passed through to the function.

Step-by-step explanation:

please helpppppppppp

Answers

Answer:

Step-by-step explanation:

b = sqrt(2 * L)                 Given

L = 4.5                            Given

b = sqrt(2 * 4.5)

b = sqrt(9)

b = 3

Answer:

b = 9

Step-by-step explanation:

Given :-

[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]

[tex] \small \: l = 4.5[/tex]

Solution :-

[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]

plug the values of l in the equation

[tex] \small \sf \leadsto \: b = \sqrt{2 × 4.5} [/tex]

[tex] \small \sf \leadsto \: b = \sqrt{9} [/tex]

[tex] \small \sf \leadsto \: b = 9 [/tex]

Find the zeros of the quadratic function: y = 6x2 + x – 35.

Answers

The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

How to determine the zeros?

The function is given as:

y = 6x^2 + x - 35

Expand the function

y = 6x^2 + 15x - 14x - 35

Factorize the function

y = (2x + 5) * (3x - 7)

Set the function to 0

(2x + 5) * (3x - 7) = 0

Split

2x + 5 = 0 or 3x - 7 = 0

Solve for x

x = -2.5 or x = 7/3

Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

Read more about quadratic functions at:

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Can someone help I forgot what formal to use?

Answers

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +  

Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +

V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +

V = 7.07 + 57.26

V = 64.33ft

Which expression is equivalent to 4p^-4 10q -3? Assume ​

Answers

Step-by-step explanation:

Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.

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