In triangle ABC, a=√2, b=1, and measure of angle a=90. Find the measure of angle B.

Answers

Answer 1

Answer:

In the triangle ABC,  A is the right angle;  the side "a", opposite to the angle A, is the hypotenuse and side "b" is the leg.

√ (√2)²-1² = √2-1= √1= 1

according to the Pythagorean theorem.

It means that you have the right angled triangle with congruent legs; thus the triangle is isosceles.

Hence, the angles at the base (at the hypotenuse) are congruent and each is equal to  180°-90°/2 = 45°

Answer.  The measure of the angle B is 45°.

Step-by-step explanation:

Answer 2

The required value of the angle B is obtained as 45°.

What are trigonometric ratios?

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given problem can be shown in the form of diagram as below,

The measure of given sides and angle of the triangle are as below,

∠A = 90°, a = BC = √2 and b = AC = 1.

Use the trigonometric ratio to obtain,

Sin∠B = BC/AC

⇒ Sin∠B = 1/√2

⇒ ∠B = 45°

Hence, the measure of angle B is given as 45°.

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In Triangle ABC, A=2, B=1, And Measure Of Angle A=90. Find The Measure Of Angle B.

Related Questions

The average national utility price is $270.48. Over a 6-month period, what is the average utility price in Orlando? How does this compare with the national average? A graph titled Orlando, Florida, has month on the x-axis and utility price on the y-axis. In April, the cost was 288 dollars; May, 310 dollars; June, 325 dollars; July, 294 dollars; August, 293 dollars; September, 343 dollars. a. $370.60; higher than the national average b. $292.17; higher than the national average c. $38.35; lower than the national average d. $308.83; higher than the national average Please select the best answer from the choices provided A B C D

Answers

Answer:

B.

Step-by-step explanation:

One of those fraction type questions, that I don’t know

Answers

Answer:

C

Step-by-step explanation:

To solve this problem, we need to first find the ratio of numbers less than four to total numbers.

There are 3 numbers on the wheel less than 4 (1, 2, and 3). There are 8 total numbers, meaning the ratio of numbers less than 4 to total numbers is 3:8.

Now, we need to find the probability of spinning a white number. There are 3 white numbers on the wheel (3, 5, 8). However, one of these numbers (3) is less than 4, so it is already accounted for in the previous ratio. There are 2 numbers left, meaning the ratio of remaining white numbers to total numbers is 2:8.

Adding this to the original equation, we get 5:8. As a fraction, 5:8 = 5/8. The answer that correctly highlights this is C.

50 POINTS HELP HELP PLZ

Answers

Answer:

Step-by-step explanation:

its 5, 12 and 13

its the most common pythagorean triplet ever known.

The right answer is (5,12,13)

look at the attached picture

Hope it will help you

Good luck on your assignment


Use a net to find the surface area of the cylinder. Use 3.14 for pi.

Answers

Answer:The answer is 70 π

Brandon owns a car that has a value of $6,043 and a boat that has a value of $950. He owes $4,740 to credit cards and has stocks valued at $10,426. Using these assets and liabilities, what is Brandon's net worth?
A.
$12,679
B.
$10,779
C.
$1,307

Answers

Answer:

This puts Brandon at a net worth of $12,679. So, your answer is option A.

Step-by-step explanation:

y = rx
y = sx
In the system of equations above, r and s are nonzero constants. When these equations are graphed in
the xy-plane, the result is a pair of intersecting lines. At what point do the lines intersect?

Answers

Answer: (0, 0)

Step-by-step explanation:

We have the linear system:

y = r*x

y = s*x

We want to find the point where the lines intersect,

We know that

r*x = y = s*x

r*x = s*x

if r and s are different numbers (if r = s, this means that the two lines are the same line)

Then we have that the equality is only true when x = 0.

this means that the value of y is.

y = s*0 = r*0 = 0

So the point (x, y) where the lines intersect is (0, 0)

Find the area of a regular pentagon with an apothem of 11 units. *
364 square units
O 440 square units
516 square units
O 166 square units

Answers

Answer:

440 square units

Step-by-step explanation:

We can find half of a side of the pentagon with the expression

[tex]tan(36\°)=\frac{s_{half} }{11}[/tex]

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

[tex]s_{half} \approx 8[/tex]

Therefore, half of a side is 8 units long, which means each side measures 16 units.

Now, the area of a penthagon is defined by

[tex]A=\frac{p \times a}{2}[/tex]

Where [tex]p[/tex] is the perimeter and [tex]a[/tex] is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

[tex]A= \frac{80 \times 11}{2} =440 \ u^{2}[/tex]

Therefore, the right answer is the second choice.

HELP ASP!!! PlS

Using rigid motion which statement is true about the triangles?

Answers

Answer:

its c

Step-by-step explanation:

i just got it correct

Two lines intersect (see image below)







Find the value of c.




24°


48°


66°


156°



Find the value of a.




24°


48°


66°


156°

Answers

Answer:

c-24

a-156

Step-by-step explanation:

a=180-24( angles on s straight line)=156

c= 24 opposite angles

Peggy wants to run 5 miles in less than 60 minutes. What inequality shows what her rate should be?

A: 1 Mi < 60 Min
B: 3 Mi < 60 Min
C: 1 Mi < 12 Min
D: 2 Mi < 30 Min

Thank you!

Answers

Answer:

C 1 mile < 12 min would be the correct answer

anyone kno ???????????

Answers

Answer:

3x+5y=4

Step-by-step explanation:

y=-3x/5 + 4

move the 5 to the other side so:

5y=-3x+4

then move -3x to the other side so:

5y+3x=4

and that is yr answer

Find the measure of the indicated angle (with the ?)
(Giving brainliest

Answers

Answer:

D. 70°

Step-by-step explanation:

Because Measure of central angle is equal to the measure of its corresponding minor arc.

Therefore, measures of indicated angle is 70°

What is the area of the shaded figure?

Answers

Answer:

144

Step-by-step explanation:

32+112=144

Answer:

352

Step-by-step explanatioThe shape as you can see is a trapezoid. To find the area of the trapezoid is base 1 + base 2 x height. I multiplied 26 and 16 which made the whole shape 416. Now, we need to take away the white triangle which will show in the end the area of the shaded figure. To find the area of the triangle, you need to do 8x16 then divide by 2. 8 x 16= 128 feet. Then we divide that number by two which equals 64. The area of the unshaded triangle is 64 feet. Finally, we take 416 and subtact 64, which equals 352.

A jar contains nine blue marbles, eight yellow marbles, 11 black marbles, and 12 red marbles.

Without looking, what is the probability of pulling a white marble from the jar?

1
0
3/10
9/40

Answers

Answer:

0%

Step-by-step explanation:

The first thing you need to do, is add the total of all of the marbles together.

9 + 8 + 11 + 12 = 40.

Knowing this, you can take the amount of white marbles, (0) and put this against the 40 total marbles.

Since there are 0 white marbles in the jar, you know that it is impossible to pull one out of the jar.

0%

Answer: The answer is 0, because there is 0 white marbles in the jar to begin with.

25000000 in standard form

Answers

Answer:

2,500,000 This is in standard form.

2.5 x 10^6  This is in scientific notation.

Step-by-step explanation:

May I please have help on these problems for my sister?

Answers

Answer:

#1: 1) Buying a pack of 3

#2: 2) Jim

#3: 2) 65

#4: 1) $0.04 per fluid ounce

Step-by-step explanation:

#1:

5 shirts for $26.25; divide $26.25 by 5 to get the individual shirt which is $5.25

3 shirts for $14.25; divide $14.25 by 3 to get the individual shirt which is $4.75

10 shirts for $52.25; divide $52.25 by 10 to get the individual shirt which is $5.225 ($5.23).

The cheapest individual shirt is the 3 shirt package.

#2:

Dwight: 3 tickets for $191; divide $191 by 3 to get the individual ticket cost which is $63.67 (Rounded to the nearest hundredth)

Jim: 5 tickets for $309; divide $309 by 5 to get the individual ticket cost which is $61.80

Pam: 7 tickets for $435; divide $435 by 7 to get the individual ticket cost which is $62.14 ( Rounded to the nearest hundredth

Andy: 4 tickets for $256; divide $256 by 4 to get the individual ticket cost which is $64.00

The one who paid the lowest price per ticket is Jim.

#3:

91 portraits in 7 weeks

? portraits in 5 weeks

By cross multiplying, we get 455 portraits in 7weeks*?

To find the unknown, we divide 7 by both sides, leaving the unknown by itself.

[tex]\frac{455}{7}[/tex] = ?

? = 65 portraits

#4:

2-quart bottle for $2.56

1 quart is equal to 32 ounces

Since we know that the bottle cost $2.56, we can divide the cost with the amount of ounces it needs, like the following: $2.56 divided by 64 ounces.

Why 64? The bottle of juice is 2-quarts, so we multiply 32 ounces by 2 to get 64 ounces.

The answer should be $0.04 per fluid ounce.

PLS HELP NOWWWWWW
1/4 (y+6) + 5 = 1/3 (4y-1) -17

Answers

Answer:

y = 22

Step-by-step explanation:

1/4 (y + 6) + 5 = 1/3 (4y - 1) - 17

1/4y + 6/4 + 5 = 4/3y - 1/3 - 17

1/4y - 4/3y = - 1/3 - 17 - 6/4 - 5

3/12y - 16/12y = - 4/12 - 17 - 18/12 - 5

- 13/12y = - 22/12 - 22

- 13/12y = - 22/12 - 22/1

- 13/12y = - 22/12 - 264/12

- 13/12y = - 286/12

- y = - 286/12 / 13/12

- y = - 286/12 * 12/13

- y = - 286/1 * 1/13

- y = - 286/13

y = 286/13

y = 22

0.884 in standard form

Answers

Answer:

8.84×10⁻

Step-by-step explanation:

To write a number in standard form we need to write down a number between 1 and 10, then × 10(to the power of a number). Therefore, the standard form of 0.884 is ¹.8.84×10⁻.

Have a great day

help me Can somebody help me​

Answers

Answer:

7) 1/4, 1/2, 5/8, 3/4, 7/8. This is in the right order.

What is the value of x, if 105% of 90 is equal to 200% of x?

Answers

Answer:

Step-by-step explanation:

200% of x = 105% of 90

(200/100) * x = (105/100) * 90

2 * x = 1.05 * 90

[tex]x = \frac{1.05*90}{2}\\\\x=1.05*45\\\\[/tex]

x = 47.25

Answer:

47.25 or 47 1/4

Step-by-step explanation:

If 3b+2-6b=32+5b-2b, find b

Answers

I believe the answer is b= -5

Answer:

b=-5

Step-by-step explanation:

3b+2-6b=32+5b-2b(first you should collect like terms on each side.) so

3b-6b+2=32+5b-2b (lessen thing by both sides.)

-3b+2=32+3b (then you collect terms to one side)

-3b-3b=32-2

-6b=30 (you divide both sides by 6)

-b=5 (since b cannot be a negative u divide both sides by -1)

so..b=-5

Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2. Which exponential equation represents this situation?

Answers

Answer:

[tex]16^{3x}= 32^{2(x+2)}[/tex]exponential equation represents this situation

Step-by-step explanation:

Let the number be x

Raising 16 to a power that is 3 times some number=[tex]16^{3x}[/tex]

Raising 32 to twice the sum of the number and 2 =[tex]32^{2(x+2)}[/tex]

We are given that Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2.

Equation:[tex]16^{3x}= 32^{2(x+2)}[/tex]

So, The required equation is[tex]16^{3x}= 32^{2(x+2)}[/tex]

Hence  [tex]16^{3x}= 32^{2(x+2)}[/tex]exponential equation represents this situation

please help! desperate!

Answers

Answer:

i believe it centimeters

Answer:

I see it now, haha

Radius = 2cm

Step-by-step explanation:

We reverse equation for volume

V=πr2  h/3 becomes r2=  V/( h* 3 *π)

We have height of  6cm  so 6*3 = 18 Then V = 72/18π = 4

We then found the square r2 or ^2 or ^2 they are both same answers Radius = 2   as √4 = 2 and 4/2 also is 2

This radius is squared so we use the root √4cm and find r = 2.

Hope this helps glad you got back to me.

Find the value of X in the triangle shown below

Answers

Answer:

The answer is A) x=5

Step-by-step explanation:

Sq root of 156 is about 22,so that doesnt work, 313 is bigger, and 1 is too small

Which expression has the least value when x = 400

Answers

Answer:

A

Step-by-step explanation:

because if you divied 100 by 400 it is a lot less than the others

The expression that has the least value when x is 400 would be 10/x.

What is a linear equation?

A linear equation is an equation in which the highest power of the given variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

A. 100/x

100 / 400 = 0.25

B. 10/x

10/ 400 = 0.025

C. 100-x

100 - 400 = - 300

D. 10-x

10 - 400 = -390

Thus, the least value is o.o25.

Learn more about linear equations;

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A 25 foot ladder leans against a house. How far is the foot of the ladder from base of the building if the top of the ladder is 30 feet from the ground?

Answers

Answer:

15ft

Step-by-step explanation:

Because the Pythagorean theorem stats [tex]A^{2}+B^{2}=C^{2}[/tex] the first leg, the unknown leg would be A. The leg that is the side of the house would be substituted in for B. The length of the ladder would be C. Thus [tex]x^{2}+20^{2}=25^{2}[/tex], then you would simplify it to [tex]x^2+400=625[/tex] then you would subtract 400 from both sides. Then that would equal [tex]x^{2}=225\\[/tex]. Then you would square root both sides giving you [tex]x=15\\[/tex].

The pool above has a length of 32 feet, width of 18 feet, and depth of 6 feet. How much water can it hold?

Answers

Answer: 3456 cubic metres

Step-by-step explanation:

32 * 18 * 6 is the volume of which can be held in the pool

Answer: 3456 cubic feet

Step-by-step explanation:

Multiply the length times width times depth.

32 × 18 × 6 = 3456

Then multiply the unit measure.

Feet × feet = square feet. Ft^2

Feet × feet × feet = cubic feet. Ft^3

Geometry

If FG || BC , which equation is necessarily true?

Answers

Answer:

hi! id say your answer should be B. DF/FB=EG/GC

Step-by-step explanation:

Your question was if FB is parallel to BC, what must be true? A. and C. are not necessarily connected to FB and BC and do not prove that those two lines are parallel. while B. DF/FB = EG/GC does prove that they are parallel because the lines mentioned in the question, FG and BC, are attatched by the lines that are provided by answer B. I hope this helps!

The necessary equation which is true for the  given triangle is:

[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]

What is the similarity of triangles?

Similar triangles are those with the same form but different sizes. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are comparable have corresponding sides that are proportionately equal and corresponding angles that are congruent. The symbol "≈" above illustrates how the triangle looks similar.

Given that,

A right triangle ABC,

which contains two segments DE & FG

So according to properties of similar triangles, the ratio of length of the sides of the triangle is equal,

AB/AC  = AD/AE

it can be further simplified as

AB/AD = AC/AE

Therefore, the equation is AB/AD = AC/AE

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Someone help me step by step

Answers

Answer:

D: 13

Step-by-step explanation:

[tex]|(-2)^{2}+(-3)^{2}|\\= |4+9|\\= 13[/tex]

I hope I helped you! Please mark me brainiest if I am correct. Thanks!

find the value of x help plz​

Answers

Answer:

3) 53 degrees

4) 38 degrees

Step-by-step explanation:

Similarly to the previous question, the value of b in both of these examples can be found because you know that they are complementary with their adjacent angle.

3)

b+37=90

b=90-37

b=53 degrees

4)

b+52=90

b=90-52

b=38 degrees

Hope this helps!

Answer:

I don't think x is in there. But, I could be wrong.

Step-by-step explanation:

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