Answers
Given:
The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]
To find:
The lengths of the legs.
Solution:
Two angles are given. By using the angle sum property, the third angle is:
Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]
= [tex]45^\circ[/tex]
Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.
Let x be the lengths of both legs. Then by using Pythagoras theorem, we get
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
[tex](10)^2=x^2+x^2[/tex]
[tex]100=2x^2[/tex]
[tex]\dfrac{100}{2}=x^2[/tex]
[tex]50=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{50}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].
Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.
Related Questions
The blue whale, the fastest marine mammal, can travel 60 miles in 2 hours. The fastest fish, the sailfish, can travel 136 miles in 2 hours. How much faster is the sailfish than the blue whale?
A. 76 mph faster
B. 58 mph faster
C. 38 mph faster
D. 26 mph faster
Answers
Answer:
c 38
Step-by-step explanation:
i got it right on the quiz
Answer:
C
Step-by-step explanation:
7) Rob and Amy are selling cheesecakes for a school fundraiser. Customers can buy New York
style cheesecakes and chocolate marble cheesecakes. Rob sold 11 New York style cheesecakes
and 7 chocolate marble cheesecakes for a total of $266. Amy sold 4 New York style cheesecakes
and 14 chocolate marble cheesecakes for a total of $280. What is the cost each of one New York
style cheesecake and one chocolate marble cheesecake?
Answers
9514 1404 393
Answer:
New York style: $14Chocolate Marble: $16Step-by-step explanation:
We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...
11n +7c = 266 . . . . . . . Rob's sale
4n +14c = 280 . . . . . . Amy's sale
The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...
(11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)
9n = 126 . . . . . . simplify
n = 14 . . . . . . . . divide by 9
Filling this into the first equation, we have ...
11(14) +7c = 266
7c = 112 . . . . . . . . subtract 154
c = 16 . . . . . . . divide by 7
One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
HIK and GFD,
Step-by-step explanation:
what is 2x2+2i know the answer but you answer it
A. 1
B. 3
C.2
D.6
Answers
What is the value of x in the figure shown below?
Answers
The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same
Estimate the given rotation within 10 degrees:
Answers
Answer:
70∘
Step-by-step explanation:
Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe. How many cups of milk does she have left over? A 1 cup B 3 cups С 4 cups D 8 cups
Answers
Answer:
c
Step-by-step explanation:
this is because one quart is 4 cups and 4 quarts are one gallon. this means that if you use three quarts, you have one left over. one quart is the same as 4 cups
that "photo" is a danger to your device
One quart is the same as the 4 cups of milk she has leftover, the option C is the correct answer.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe.
1 gallon of milk = 1 quart of milk,
one quart is 4 cups and 4 quarts is one gallon which means that if you use three quarts, you have one leftover.
one quart is the same as 4 cups.
Learn more about the unitary method;
https://brainly.com/question/23423168
Surface area is always measured in square units. True False
Answers
Answer:
The answer is True.
Answer:
True
Step-by-step explanation:
Area is always measured in square units, also including surface area
i need help with this! pls pls
Answers
Answer:
x = 21 degrees
Angle KMH = 96 degrees
Step-by-step explanation:
The first question is what is x. To find that out the opposite angle of 4x is the same as x. That is 84 degrees. So take 84 and divide it by 4 you get 21.
x = 21 degrees.
The second question is what is the angel of KMH. A straight line is 180 degrees. If you take the 84 degrees and subtract it from 180 you will get what that angle equals. It equals 96 degrees.
If all dimensions of a rectangular prism are multiplied by 4, which statement is true?
A. The total surface area is multiplied by 64. The volume is multiplied by 16.
B. The total surface area is multiplied by 64. The volume is multiplied by 64.
C. The total surface area is multiplied by 16. The volume is multiplied by 64.
D. The total surface area is multiplied by 4. The volume is multiplied by 16.
No dam links
Answers
Answer:
Step-by-step explanation:
K
Two dice are
thrown, what
is the probability that the sum
of the numbers is divisible by 5?
Answers
Answer:
Step-by-step explanation:
Remark
Two results are divisible by 5.
The two are 5 and 10.
There are 36 possible outcomes when throwing 2 dice
Five
You can throw a 5 four different ways
4 - 1
1 - 4
2 - 3
3 - 2
Probability: 4/36
Ten
Ten can be thrown 3 different ways
5 - 5
6 - 4
4- 6
Probability : 3/36
Answer
The probability of a 5 or a 10 = 4/36 + 3/36 = 7/36
If you mean something else, leave a note in the comment and I'll get back to this. Please leave something specific. It's wrong doesn't help me.
Please Classify ∠1 and ∠2 using all names that apply
Answers
Answer:
Supplimentery angles
If the sum of the measures of two angles is 180 degrees, then the angles are supplementary angles.
Answer:
∠1 & ∠2 are supplementary angles & they form a linear pair. (option D)
Line ABC is a straight line
Which descnbes the relationship between 21 and 22?
21 and 22 are complementary angles.
21 and 22 are supplementary angles.
21 and 22 are vertical angles
21 and 22 are acute angles
Answers
Answer:
angle 1 and angle 2 are supplementary angle
Answer: the answer is b
Step-by-step explanation:trust
LCM OF (2^3×3×5) and (3×5) is
(a)8
(b)120
(c)40
(d)180
Answers
Answer:
120
Step-by-step explanation:
2³* 3 * 5
3*5
LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120
If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe
Answers
Answer:
0.275
Step-by-step explanation:
1.25-0.975=0.275
Answer: .1375
See explanation:
1.25-0.975=.275
Now since this gives you the difference between the outside diameter and the inside diameter it actual gives you 2 times the wall thickness. So we need to divide that by 2.
.275/2=.1375
So the wall thickness of the pipe is .1375
the nutrition information on the cereal box says that a 1/2-cup serving provides 210 calories and 6 grams of dietary fiber. at that rate, find how many calories and grams of fiber are in a 1/3-cup serving
Answers
Answer:
140 Calories and 4 grams of dietary fiber per 1/3-cup serving.
Step-by-step explanation:
hi you can find this by first doubling the amounts for a 1/2 cup serving
so then it is equal to a full cup serving.
and then divide those by three,
that way it will be equal to 1/3 cup serving.
so
210*2= 420 (lol)
6*2= 12
now divide these numbers by 3
420/ 3 = 140
12/3= 4
so your answers are
140 Calories and 4 grams of dietary fiber per 1/3-cup serving.
I hope this helps! Good luck!
write the expression for 5 minus q
Answers
Answer:
5 - q
Step-by-step explanation:
the term minus indicates a sign of subtraction, which looks like this
-
Therefore, the expression is 5 - q
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCH!!
Answers
Answer:
Step-by-step explanation:
diameter= 22 mm
Radius is half of diameter
r = 22/2 = 11mm
Area of circle = πr²
= 3.14 * 11*11
= 379.94 mm²
Diameter (d) of circle = 22 mm
To Find:-Area of circle.
Solution:-Diameter (d) of circle = 22 mm (Given)
So, radius (r) of circle = [tex] \frac{d}{2} [/tex] = [tex] \frac{22}{2} [/tex] = 11 mm.
Now, we know,
Formula of Area of Circle is πr².
So, Area of Circle = [tex] \frac{22}{7} [/tex] × (11)²
Area of Circle = [tex] \frac{22}{7} [/tex] × 11 × 11
Area of Circle = [tex] \frac{22 \: × \: 11 \: × \: 11}{7} [/tex]
Area of Circle = [tex] \frac{2662}{7} [/tex]
Area of Circle = 380.29
Area of Circle is 380.29 sq mm. [Answer]what are the answer and processes? 5x-9=11
Answers
Hope this helps
Answer: x=4
Step-by-step explanation:
5x-9=11
5x=11+9
5x=20
X=4
What is the value of the 3 in the number 738?
(please help )
Answers
Because the value of 7 is 700 and the value of 8 is 8
Plz help if correct ill give brailiest
Answers
Answer:
That first one is the answer
Answer:
the last one
Source : Trust me Bro
(its actually the last one)
Which features are present in this polar graph?
Answers
The features that is present in this polar graph is that A. Symmetry about the polar axis θ = 0.
What is true of the polar graph?The polar graph can be said to have a symmetry about the polar axis which means that theta or θ is equal to 0.
This is because the graph is symmetric about the x-axis. This means that all the lines of symmetry can be seen intersecting the graph at x = 0. This proves that there is indeed symmetry in the polar graph.
In conclusion, option A, θ = 0 is correct.
Find out more on polar graphs at https://brainly.com/question/22692278
#SPJ1
Which is bigger a population or a sample?
a - Population
b - Sample
c - They are both the same
Answers
6. Write the formula of circumference
of a circle when its diameterld)
is given.
Answers
Step-by-step explanation:
nl the way home now so I'm gonna get
C= (pi symbol)d
(I don’t have a pi symbol on here)
Please answer the following question
Answers
Speedy crawled 5/9 yards. Slimy crawled 4 times as far as speedy. How far did slimy crawl?
Answers
Answer:
2 2/9 yards or 20/9 yards
Step-by-step explanation:
Slimy went 4 times as much as Speedy did so that means 5/9 x 4 yards which is the same thing as 5 x 4/9 so 5 x 4/9 equals 20/9 or 2 2/9 so Slimy crawled 2 2/9 yards.
What is the greatest common factor of the numerator and denominator in the expression: 6x+2x^2/9x^2+3x^3?
A. 3+x
B. 3x+x^2
C. x
D. 2/3x
Answers
Answer:
A) 3+x
Step-by-step explanation:
6x + 2x² / 9x² + 3x³
2x(3 + x) / 3x²(3 + x)
10.) Find values of x and y for which ABCD must
be a parallelogram.
A x=2 y=4
B x=2 y=6
C x=2 y=16
D x=6 y=2
Answers
Answer:
B x=2 y=6
Step-by-step explanation:
For ABCD to be parallelogram, following conditions should be satisfied:
2x - 0 = x + 2 & 4y - 8 = y + 10
2x - 0 = x + 2
2x - x = 2
x = 2
4y - 8 = y + 10
4y - y = 10 + 8
3y = 18
y = 18/3
y = 6
Probability of dependent events
Espanol
A department store is holding a drawing to give away free shopping sprees. There are 9 customers who have entered the drawing: 4 live in the town of Gaston,
2 live in Pike, and 3 Ilve In Wells. Two winners will be selected at random. What is the probability that the first winner lives in Wells and the second lives in
Gaston? Write your answer as a fraction in simplest form.
0
$
2
Explanation
Check
2021 McGraw-Hill Education. All Rights Reserved Terms of Use | Privacy | Accessibility
Answers
Answer:
1/9
Step-by-step explanation:
find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best
Answers
= 5040
L x W x H