Find the length of the third side. If necessary, write in simplest radical form.
Answers
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
Related Questions
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answers
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.
Answers
Answer:
110 degrees I think
Step-by-step explanation:
1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40
Answers
Answer:
C) 4
Step-by-step explanation:
d = rt
plug in
t = 8, d = 32
32 = t(8)
Divide both sides by 8
4 = t
C) 4
Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?
Answers
Answer:
28
Step-by-step explanation:
What is an equation of the line that passes through the points (0,-2) and (-5,4)
Answers
Answer: y = -6/5x - 2
Step-by-step explanation:
Slope = Change in y/Change in x
Our y intercept is -2 because of our point (0,-2)
Evaluate if y = 4 and z = -2.
7y + z
=
[?]
Answers
Answer:
The answer is 26.
Step-by-step explanation:
7 x 4 = 28 so
28 + (-2)=
26
Answer:
26
Step-by-step explanation:
7y+z=
y =4 and z = -2
7(4)+-2
28+-2
26
Hence, the answer is 26.
Answer these questions
Answers
c = 1 > 7 =
According to reliable sources.
Answer:
C > 9
Step-by-step explanation:
First Subtract 1 from both sides
2c/3 + 1 -1 > 7-1
= 2c/3 > 6
Now Multiply bith the sides by 3
3 × 2c/3 > 6 × 3
= 2c > 18
Now Divide both sides by 2
2c/2 > 18/2
= c > 9
The answer was already there on the site but maybe you didn't find it
the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon
Answers
Answer:
About 30.06 pounds
Step-by-step explanation:
In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).
what is
-0.35 - (-0.25)??
Answers
Answer:
Please mark brainliest <3
Step-by-step explanation:
Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age
Answers
Answer:
Victoria is 4 years older than her neighbor
Step-by-step explanation:
V = x + 4
x = neighbors age
x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little
2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5
(Hope this helps can I pls have brainlist (crown☺️)
Answer: 5
Step-by-step explanation:
Let x be the age of Victoria's neighbor.
Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.
The sum of their ages is no more than 14 years, which can be written as:
x + (x + 4) ≤ 14
Simplifying the inequality:
2x + 4 ≤ 14
2x ≤ 10
x ≤ 5
Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.
D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds
Answers
Answer:
B. 38 seconds
An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?
Answers
$42,000 + $3,360 = $45,360 salary for the next year
What’s the answer to 4(1+9x)
Answers
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
The path of a large arrow fired from a catapult can be modeled by y= -0.0044x^2+1.68x, where x is the distance the arrow traveled (in yards) and y is the height of the arrow (yards).
Give the height of the castle wall, find the safest distance from the wall to launch an arrow over the wall.
1. the height of the wall is 120 yards
2. the height of the wall is 100 feet.
Answers
Answer:
Step-by-step explanation:
Wwe can solve this in either of two ways: Differentiation or graphing.
Differentiation
y= -0.0044x^2+1.68x
y' = -0.0088x + 1.68
y' is an equation that tells us the slope of the line for any point x. We want to know when the arrow begins it's descent. That is the point of maximum height, and the slope of the line through that point will be zero. Set y' = 0 and solve for x:
0 = -0.0088x + 1.68
0.0088x = 1.68
x = 191
The maximum height is when the arrow has travelled 191 feet. Now put 191 feet into the equation to find the maximum height:
y= -0.0044x^2+1.68x
y(191) = feet
The maximum height is 160 feet
--
Graphing
See attachment.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.
8 * (-2) = -16
-16 + 2 = -14
So y = -2 is a solution.
I have tried to answer this every method I can and I can't solve it
Answers
Answer: P1: 17.61 P2: 14.66
Step-by-step explanation:
P1: take total divide by how many numbers used : 229 divided by 13 =17.61
P2: take total divide by how many numbers used : 88 divided by 6= 14.66
Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles
Answers
Answer:
4.5hours - 4h30 min
Step-by-step explanation:
Doing the math: 225 miles : 50 miles per hour = 4.5 hours
Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min
The sale price of a swimming pool after a 18.5% discount is $1189.90. Find the original list price of the pool.
Answers
Answer:
1460
Step-by-step explanation:
18.5% of 1460 = 270.1
1460 - 270.1 = 1189.9
6/9 x 3/8 in simplest form
Answers
refer the attachment for your answer !!
help i don’t get it
Answers
Answer:
$75.3
Step-by-step explanation:
(7.80x7)+(6.90x3)
=54.6+20.7
=$75.3
A parallelogram has an angle whose measure is 4 times the measure of
another angle of the parallelogram. What are the measures of the angles
of the parallelogram?
Answers
Answer:
The measures are 36 and 144 and similarly 36 and 144
Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2
Answers
Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8
Solution: C
Richard buys a balance being priced at 799 shipping and handling or an additional 30% of the price how much shipping and handling will Richard pay
Answers
Describe how Jason can check his answer
Answers
Describe how Jason can check his answer
Answer:The equation that was given in the question is:
[tex] - 8.5 \times - 3.5 \times = - 78[/tex]
Also,the value of x given is 6.5
Therefore, we'll put the value of x back into the equation and this will be:
[tex] - 8.5 \times - 3.5 \times = - 78 \\ - 8.5(6.5) - 3.5(6.5) \\ - 55.25 + - 22.75 \\ = - 78[/tex]
Therefore, the answer is correct
Convert 0.092 into a fraction
Answers
Answer:23/250
Step-by-step explanation:
0.092=23/250
The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
x= 12 cm
Step-by-step explanation:
Answer:
[tex]x=(4\sqrt{3})/3[/tex]
Step-by-step explanation:
If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]
how can you find 8 people can share 7 tickets equally
Answers
Answer:
Easy Kick one person out
Step-by-step explanation:
8/7 because 7*8=7/1*8/1= and we will take the reciprical which is 7/1*1/8=7/8
Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What
is the ratio of time he jogged to time he walked?
Answers
11. Which solution for the value of x in the figure below is incorrect? Explain a. 3X -44=x-24 2x - 44 = -24 2x = 20 (3x-440) b. 3x - 44 + x - 24 = 180 4x - 68 = 180 4x = 248 X = 10 (x-249) x = 62
Answers
Answer:
Theradius is 16 + 9 = 5. The equation of thecircle is2 2( x− 4) + ( y− 3) = 25. 53.54.x2 + y2 – 4 x ...
A linear model for the situation below passes through the origin. A manufacturer can produce 4,200 gears in 8 hours. How many gears can be made in 1 hour? values of the following algebraic expressions : L 3c2; 72/3; 5a&; ... 2x^-x^-3x-^ by 2 x'^ - 3 x~^ - x-^ ; a" - 1 + ft- " by a^ + ft~i ...
Step-by-step explanation:
A less character after a greater in10 = X. creases its value, as XI X+I, ... the root of each and set one above the other; as, % is the square root of 3X.180 / 90 / 15 lm | 12 VDC | 3 W module | 16 Wh battery | white | ... 48 VDC | PV 23,6 kW | 4 x VE SmartSolar MPPT 25 / 100-TR | 3x VE .
Pamela's age is two times Jiri's age. The sum of their ages is 33. What is Jiri's age?
please please help
Answers
Answer:
Let Jiri's age be as 'x'
Therefore, Pamela's would be 2x
Since the addition of both is 72, the equation formed would be..
2x+ x =72
3x =72
x= 72÷3
x = 24 years.
Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.