In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

Answers

Answer 1

Answer:

= 15.556 in

Step-by-step explanation:

Since this is a 45-45-90 triangle, we can tell that;

This is a right triangle  This is an isosceles triangle

One of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.

Therefore;

hypotenuse = leg × √2

If we take hypotenuse as x

Since the leg is 11;

Then; x = 11√2

x = 11/√2

x = 15.556 in


Related Questions

Write the relationship between time and distance in this example

Answers

Answer:

Step-by-step explanation:

Y= .25x (12)

I think this is an equation for you question if not

Write a house runs a mile in 4 mins 1/4 = .25 miles /mins

You go with the second one i said. hope this gets brainlist

Complete the truths table

Answers

Answer:

First Column:

T

F

F

F

Second Column:

F

T

T

T

Step-by-step explanation:

I'm assuming ~ means NOT and ^ means AND.

Evaluate the first column using AND logic; both inputs must be true for the output to be true.

Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.

Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was

Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.

An object is launched from the ground straight up with a initial velocity of 120 ft/s. how long will the rock be in the air?

Answers

Answer:

t = 7.5 seconds

Step-by-step explanation:

Givens

vi = 120 f/s

a = -32 f/s

d = 0               It goes up, stops and comes back down landing where it starts.

Formula

d = vi*t + 1/2 a t^2

Solution

0 = 120*t - 1/2*32*t^2     transfer 120t to the left

-120*t = - 1/2 32 t^2        Multiply 32 and 1/2 together  

- 120t = - 16 t^2                Divide both sides by t

-120 =    -16 t                    Divide by -16

-120/-16 = (-16/-16) * t      

t = 7.5 seconds

Answer:

The answer is actually C. 7.5 I just answered this question on a quiz. I'm sorry for the late response and I hope this helps!

x-13=37 what is the value of x​

Answers

You isolate for x. Meaning that x remains on the left side BY ITSELF all alone, in order to do that, you must bring - 13 to the RIGHT side of the equation. When you bring -13 to the right side you have to change it’s sign, so -13 will become +13.

X=37+13
X=50

X is 50

Answer: x=50

Step-by-step explanation: x-13=37, add 13 to both sides to eliminate "-13" on the side with the variable to get the variable by itself and whatever is behind the equal sign is the value of x

8. What’s the answer to this question please

Answers

D) $5

Half of $25 is $5

25/5= 5

horace wants to buy a pound of pecans. if a 1 pound bag costs $8.65 and a 4 ounce bag cost $2.35, how much money would horace save by buying the 1 pound bag instead of multiple 4 ounce bags.

Answers

Answer:

Step-by-step explanation: there is 16 oz in a pound. Horace would buy 4-4 ounce bags at 2.35 per bag which equals $9.40 and since he can pay $8.65 for a pound bag, there would be a $.75 difference

Final answer:

By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.

Explanation:

To find out how much money Horace would save by buying the 1 pound bag instead of multiple 4 ounce bags, we need to compare the unit prices of the two bags. The 1 pound bag costs $8.65, so the cost per ounce is $8.65 divided by 16 (since there are 16 ounces in a pound), which is $0.54 per ounce. The 4 ounce bag costs $2.35, so the cost per ounce is $2.35 divided by 4, which is $0.59 per ounce. By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.

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Help!!!!!!!!!!!!!!!!! Please!!!!!

Answers

Angle 1 is 105. Supplementary = 180. So 180-75=105

Answer:

<1 = 105

<2 =75

Step-by-step explanation:

Vertical angles are always equal. <2 = 75 because it is opposite a vertical angle.

<1 + <2 = 180                     (The two angles are given as supplementary to each other).

<1 + 75 = 180                     Subtract 75 from both sides.

<1 + 75 - 75 = 180 - 75      Combine

<1 = 105

1)Find the area of a parallelogram with base b and height h

b=82 cm
h=16.6 cm
a) 1,361.2 cm²

b)6,724 cm²

c)137.78 cm²

d)98.6 cm²

Answers

Answer:

i got A

Step-by-step explanation:

Final answer:

The area of the parallelogram is 1357.2 cm²

Explanation:

This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.

There are two formulas to find area of parallelogram

1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.

2. By using the formula of area = b × h

Since, base and height are given in the question, second formula will be used

So, to find the area of a parallelogram, we use the formula:

A = base × height

Given:

Base (b) = 82 cmHeight (h) = 16.6 cm

Substituting the values in the formula, we get:

A = 82 cm × 16.6 cm = 1357.2 cm²

Therefore, the area of the parallelogram is 1357.2 cm²

PLEASE HELP!!!!

When the battle began, there were 30 percent more brigantines than men-of-war. If there were 260 brigantines, how many total ships took part in the battle?

Answers

i believe 3-4 ships took part in the battle

help me please! what is the answer of this exercise? ​

Answers

Answer:  h = 15

Step-by-step explanation:

Volume (V) = Length (L) × width (w) × height (h)

1386 = 14 × 9 × (h - 4)

[tex]\dfrac{1386}{14\times 9}=h-4[/tex]

11 = h - 4

11 + 4 = h

15 = h

There are 44 books per shelf and there are 8 shelves. 1/4 of these books are novels. How many novels will there be?

Answers

Answer: 88 Novels

Explanation:

Since there are 44 books per shelf and there are 8 shelves, we have a total of 44*8 or 352 books. Since only a quarter of them (1/4) are novels, we will multiply (1/4) and 352 together to get, 352*(1/4) equals 88 novels

Which measure of central tendency best describes situation the favorite fruit sold in the cafeteria explain

Answers

Answer:

the mode

Step-by-step explanation:

The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often

Final answer:

The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.

Explanation:

The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.

write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.​

Answers

Answer:

C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]

Step-by-step explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

[tex]\frac{14}{21}  = \frac{2}{3}[/tex]

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

[tex]\frac{18}{27} = \frac{2}{3}[/tex]

Therefore, answer is  C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]

The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.

The ratio of corresponding sides for the similar triangles can be expressed as follows:

Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.

Given:

[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]

The ratio of corresponding sides is:

[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]

To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):

[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]

Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.

help me please asap!!!!!

Answers

Answer:

Step-by-step explanation:

It's simple just review the division and rules of exponents.

The slash means nothing more than divide 8/2=4 You're diving right? See!

The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.

8/2=4

exponents x^3/x subtract x^2

4x^2

next..6/2=3

exponents x^2-x=x   think of it as x is always 1 the exponent just shows you how many xs you have.

So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!

The answer for your question would be, 4x^2+3x.

You're welcome!

Solve –5√ x = –15 Please help!

Answers

Answer:

x=9

Step-by-step explanation:

First divide both sides by -5. Once you do this you should have a result of √x=3. from here, square both sides. This will give you an answer of 9

Answer:

x = 9

Step-by-step explanation:

[tex]Domain:\ x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\qquad\text{square both sides}\\\\(\sqrt{x})^2=3^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\x=9[/tex]

Plz help !!!!!!!!!!!!

Answers

Answer:   √2

Step-by-step explanation:

[tex]\sqrt[4]{4} =\sqrt[4]{2^2} =2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt2[/tex]

if a group of four friends went to the movies in addition to their tickets they bought a large bag of popcorn to share for $6.25 the total was $44.25 ​

Answers

Answer:

Each ticket cost $9.50

Step-by-step explanation:

4x+6.25=44.25

    -6.25.      -6.25

4x=38

x=9.50

The cost of each movie ticket is $9.5.

Given that, a group of four friends went to the movies they bought a large bag of popcorn to share for $6.25 the total was $44.25.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of each movie ticket be x.

Now, 4x+6.25=44.25

⇒ 4x=44.25-6.25

⇒ 4x=38

⇒ x=38/4

⇒ x=$9.5

Hence, the cost of each movie ticket is $9.5.

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"Your question is incomplete, probably the complete question/missing part is:"

A group of 4 friends went to the movies in addition to their tickets, they bought a large bag of popcorn to share for 6.25 the total was $44.25 what is the cost of one movie ticket?

You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?

Answers

base, b = 45m

angle of elevation, aoe = 82deg

height at 86th floor, h1

height above 86th floor, h2 = 123m

total height, h = h1 + h2

using

tan (aoe) = h1/b

=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2

h = h1 +h2 = 320.2 + 123 = 443.2m

kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 degrees, how far is Kurt standing from the base of the pole?

Answers

angle of elevation, aoe = 59 deg

height, h = 40ft

distance from pole, dfp

using

tan 59deg = h/dfp

=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft

Answer:

24.04 ft

Step-by-step explanation:

Kurt spots  a bird sitting at the top of a 40 foot tall telephone pole

Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg,  the pole itself and line joining Kurt leg and top of pole.

This is right angled and since angle of elevation is given as 59

we have

height of pole/distance of Kurt from base = tan 59

i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]

where d is the required distance of Kurt from the pole.

Hence x = 24.038

=24.04 feet

If y=x-6 where changed to y=x+8 how would the graph of the new function compare with the first one ?

Answers

Answer:

The function [tex]y=x+8[/tex] is the function [tex]y=x-6[/tex] shifted 14 units up.

The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)

The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)

Step-by-step explanation:

The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

The first equation is:

[tex]y=x-6[/tex]

The second equation is:

[tex]y=x+8[/tex]

The parent function with the form [tex]y=mx[/tex] can be shifted up or shifted down k units.

When [tex]y=mx+k[/tex] the function is shifted k units up.

When [tex]y=mx-k[/tex] the function is shifted k units down.

Then, the function [tex]y=x+8[/tex] is obtained by adding k=14 to the function [tex]y=x-6[/tex].

Both equation has the same slope, but the y-intercepts are different.

The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)

The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)

HELP PLEASE HURRY!!!!!!!!!
Find the area of each figure to the nearest tenth.


Answers

See the attached pictures for the answers:

What is the value of the expression 3.6x10^8 / 1.2x10^3

Answers

Answer:

3 × 10⁵

Step-by-step explanation:

[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]

Final answer:

The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.

Explanation:

The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:

Firstly, divide the coefficients: 3.6 ÷ 1.2 = 3 Then, subtract the powers of 10: 8 - 3 = 5 Thus, combining these results gives us 3x10^5

So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.

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10.........................

Answers

Hello!

The answer is:

a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]

Why?

To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.

Transforming radical to exponential form:

[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]

Power of a power property:

[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]

Have a nice day!

how do i find the percentage???​

Answers

1. Find the 10 % of it first
(Move decimal one place to the left)
Ex. 10 percent of 78 is 7.8, 64 is 6.4, 345 is 34.5, 1.352726 is 0.1352726 etc.

Then multiply the 10% by the 1st didgit of the given percent.

Ex. 80% of 65.4
6.54
X 8= 52.32!

Hope this helped!

If the label of a can of yams were cut off and laid flat, which expression would give the area, A, of the label with the measurements shown?

Answers

Answer:

Step-by-step explanation:

yep hes correct C.) A = 2 • π • r • h

Step-by-step explanation:

The distance around a circle is the circumference, and the formula for it is

C = 2πr.

Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.

To find the area of a rectangle, we multiply length and width; we know the length is 2πr.  The width of the rectangle is the height of the can; this makes the area

A = 2πrh. give him brainly not me

Answer:

its option c A=2 times pi times r times h

Step-by-step explanation:

please help me this is urgent

Answers

Answer:

99.9

Step-by-step explanation:

What happens to the volume of a rectangular prism when each of the dimensions is doubled?
A. It doubles.
B. it quadruples.
C. It is six times as great.
D. It is eight times as great.

Plzzz Help

Answers

I’ll go this D as well

The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?

Answers

Answer:

[tex]A = 4500 ft^2[/tex]

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]

The perimeter is:

[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]

Now we find the length of the sides:

[tex]AB = 45\\BC = 205\\CA = 200[/tex]

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]

Then the Area is:

[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]

Write 0.214214214...as a fraction.

Answers

Answer:

012/1000

Step-by-step explanation:

What is the measure of the missing angle?

88°


92°


98°


180°

Answers

since a triangles total angle is 180°, to find the answer you would subtract the 2 angles you are given from 180. 180-56-36= 88°, this being your answer.

Answer:

88°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angle and subtract from 180 for missing angle

missing angle = 180° - (56 + 36)° = 180° - 92° = 88°

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