The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.

Answers

Answer 1

Answer:

The base angles measure 78.46 degrees to the nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

10^2 = 10^2 + 4^2 - 2.4.10cosX     where X is a base angle.

cos X = (100 - 100 - 16)/ (-80)

cos X = -16/-80

cos X = 0.2

X = 78.463 degrees


Related Questions

For i^2 =-1, (3-i)^2 = ?

A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i

Answers

C. 8- 6i
(3- i) to the power of 2 (expand the expression)

9- 6 i + i to the power of 2
calculate

9 - 6i - 1
calculate

8- 6i.

Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1

start fraction, 1, divided by, 4, end fraction of an hour

Answers

Answer: The answer is 5/4 :)

Answer:

5/4 or 1 1/4

Step-by-step explanation:

khan academy

7pie/2 converted to degrees

Answers

Formula to convert radian into degrees

radian × (180°/π) = degrees

7π / 2 × 180 / π = 630°

I need this please ya

Answers

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

B(c) is a function.
1
2
L
3
А
B(C)
O A. True
O B. False

Answers

I think it’s a function!

The question is below.

Answers

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.

what is the volume measured in cubic centimeters, of the box below? do not include units in your answer

Answers

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

Shirts are 5% off. The original price of one shirt is $15. What is the total cost, in dollars, of a shirt at the sale price, including a 10% sales tax​

Answers

Answer:

$15.75

Step-by-step explanation:

[tex]\frac{y}{15} :\frac{5}{100}[/tex]

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

[tex]\frac{y}{15} :\frac{10}{100}[/tex]

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?​

Answers

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

Richard drove to the east at 2 kilometers, then 1 kilometer south, and 1 kilometer west to reach home.

Answers

Answer:

answer 4 kilometer

Step-by-step explanation:

2 + 1 + 1 = 4

What is the mean of the data?

11
5
3
8

Answers

The answer to this question is 6.75
The answer is 5. After adding all the numbers I divided it by how much number there is so 3+3+4+4+5+5+5+5+6+7+8 which = 55 and then divide by 11 cus that’s how much numbers there’s are which makes the answer 5

Please anybody help I need to finish this today!!

Answers

Answer:

well Liam is right that is the same statement

please help me!!! justify your answers.​

Answers

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

When a researcher asks respondents for the names or identities of others like themselves who might qualify to take part in the survey, they are using what type of sampling method

Answers

Answer:

Chain referral sampling

Step-by-step explanation:

Chain referral sampling is also known as snowball sampling. In this form of sampling, the samples are collected from the referrals given by the existing samples. The samples are collected and the research is conducted respectively. This method is used in the business marketing also. The places where the people are not known by the company, the method of chain referrals are made and the samples are collected.

Find the volume of a cone with a height of 13 cm and a radius of 5 cm.

Answers

Answer:

V≈340.34

Step-by-step explanation:

V=πr2h

3=π·52·13

3≈340.3392

PLEASE HELP! urgent! Write the equation of a line in a slope-intercept form and standard form

Answers

Answer:

[tex]y = \frac{3}{4}x -3[/tex] --- Slope intercept

[tex]4y - 3x =- 12[/tex] --- Standard form

Step-by-step explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line

[tex](x_1,y_1) = (0,-3)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0 --3}{4 - 0}[/tex]

[tex]m = \frac{3}{4}[/tex]

The slope intercept is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{3}{4}(x - 0) -3[/tex]

[tex]y = \frac{3}{4}(x) -3[/tex]

[tex]y = \frac{3}{4}x -3[/tex]

Multiply through bu 4

[tex]4y = 3x - 12[/tex]

Subtract 3x from both sides

[tex]4y - 3x =- 12[/tex] --- Standard form

How many books could you read in 114 days if you read 2 books every 3 days?

Answers

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

For each of the regions D in R^2 below, fill in the blank so that the statements are true:

A continuous function on D= {(x,y) ∈ R^2 | 2x^4+6y^2 >= 152} __________ have an absolute maximum.

a. must
b. might or might not
c. must not

Answers

Answer:

b. might or might not

Step-by-step explanation:

Theorem:

If f is a continuous function in a bounded interval, it must have an absolute maximum.

In this question:

The interval is  2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.

Answer:

b. might or might not

Step-by-step explanation:

For each of the regions D in R^2 below, fill in the blank so that the statements are true: might or might not

Leticia has a small paper weight in the shape of a rectangular prism.
The dimensions of the paper weight are shown. What is the volume of
the paper weight?

Answers

The answer is 58.4375

l*w*h is how you calculate any rectangular prism, 5*2 3/4*4 1/4 is the volume of your triangle. Hope this helps!

pls help w give a brainlest

Answers

Answer:

Step-by-step explanation:

(27m^8n^4)^(1/3)

= 27^(1/3) (m6)^(1/3)(n)^(1/3) (m^2n)^(1/3)

= 3m^2n(m^2n)^(1/3)

So the answer is the last.


Find the area of the shape.

Answers

Answer:

78.5 un²

Step-by-step explanation:

A = π · r²

π · 10²

314 un²

314 un² ÷ 4

78.5 un²

What is X 7x - 3 = 11
weeee
weeee
weeee




naaaa jk this is the real question

ANYONE WAN NA HAVE SOME "FUN"???

Answers

Answer:

x=2

Step-by-step explanation:

7x - 3 = 11

Add 3 to each side

7x - 3+3 = 11+3

7x = 14

Divide by 7

7x/7 = 14/7

x = 2

[tex]\boxed{\bold{ X=2  }}[/tex] 

Full solution

7x-3=11

now we have to add 3 in both sides

we get that,

7x-3+3=11+37x=14

now divide 7 in both sides

we get that,

7x/7=14/7x=2

PLEASE HELPP!!!

Jamie has a $15 iTunes gift card. Songs cost $0.75 and she wants to keep $5 on the
card. How many songs can she download?
a.
Write and solve the inequality that represents Jamie's situation.
b.
Use your inequality to decide how many songs Jamie can download.

Answers

Answer:

13

Step-by-step explanation:

starting equation is 15=0.75(x)+5.

You have to have the numbers on one side so...

15-5=10, and 5-5=0.

now, our equation is 10=0.75(x).

we are looking for x, so....

10/.75= 13 and 1/3.

since there is no such thing as a third of a song, 13 would be our number.

What’s -9/25 as a decimal

Answers

-0.36 is the answer because

-9 divide 25 = -0.36

Find the surface area of
8 m
14 m
18 m

Answers

i need this too pls like so i an come hack
Do you have a rectangular prism?

Because if the dimensions you given are the length width and height, just multiply them all together:
8 • 14 • 18 = 2,016

FINAL ANSWER:
2,016 square meters

KEEP IN MIND THIS IS ONLY IF THE FIGURE YOU HAVE IS A RECTANGULAR PRISM

IF YOU DONT LEAVE THIS ALONE

Comm.ent me if u have any questions
-SpaceMarsh

Write an algebraic expression for the situation.

7 times the sum of y and 1/3

Answers

Answer:

7(y + 1/3)

Step-by-step explanation:

7 times the sum of y and 1/3

7    *           (y + 1/3)

7 * (y + 1/3)

7(y + 1/3)

What is 26.509 written in Expanded Form?

Answers

(2 x 10) + (6 x 1) + (5/10) + (0/100) + (9/1000)

Each member of a 5- member cross-country team runs a course. Their individual times are as follows: 2 hours 17 minutes 2 hours 48 minutes 1 hour 53 minutes 2 hours 19 minutes 1 hour 38 minutes The team's overall score is the average number of minutes it takes for its members to complete the course. What is this team's score?​

Answers

Answer:

2 hours

Step-by-step explanation:

hopefully

Please look at the image

Answers

m/_A= 120°
m/_B=30°
m/_C= 100°

sum of all the angles=120+30+100 = 250°

Step-by-step explanation:

m∠A = 70°

m∠B = 30°

m∠C = 80°

Sum of all three angles = 70° + 30° + 80° = 180°

Hope it helps....!

COLLEGE MATH!!! Please help me!

Answers

Answer:

( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])  

Step-by-step explanation:

Curve is concave downward when the second derivative is negative.

y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus

y'' =   [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.

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