Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.
Answers
Answer:
12. [tex]x=10[/tex]
13. [tex]x=4[/tex]
14. [tex]x=5[/tex]
15. [tex]x=1[/tex]
16. [tex]x=8[/tex]
17. [tex]x=14[/tex]
Step-by-step explanation:
for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])
[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse
12.
[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =200[/tex]
[tex]x^{2} =100[/tex]
[tex]x=10[/tex]
13.
[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =32[/tex]
[tex]x^{2} =16[/tex]
[tex]x=4[/tex]
14.
[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =50[/tex]
[tex]x^{2} =25[/tex]
[tex]x=5[/tex]
15.
[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =2[/tex]
[tex]x^{2} =1[/tex]
[tex]x=1[/tex]
16.
[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =128[/tex]
[tex]x^{2} =64[/tex]
[tex]x=8[/tex]
17.
[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =392[/tex]
[tex]x^{2} =196[/tex]
[tex]x=14[/tex]
Related Questions
Does the function model exponential growth or decay? h(t)=0.25\cdot 1.5^th(t)=0.25⋅1.5 t
Answers
Answer
Answer:
growth
Step-by-step explanation:
srry im late
Each letter of the word PROBABILITY is written on an individual card, each of which
is the same size, and all are put in a bag. A card is drawn without looking. A card is
drawn without looking. Find P(Letter A or Vowel)
Mutually Exclusive Event
O Inclusive Event
Independent Event
Dependent Event
Answers
Answer:
Independent event
Step-by-step explanation:
Which is the best estimate of the sum of the fractions 5/12+5/9
Answers
Answer:
0.926
Step-by-step explanation:
5/12 as a decimal is 0.416 and
5/9 as a decimal is 0.5 repeating
You just have to turn the fraction into a decimal and
add those together.
So your final equation would be 0.416+0.5
Answer:
35/36
Step-by-step explanation:
The least common denominator for both 12 and 9 is 36.
5 3 = 15
— X —
12 3 = 36
5 4 = 20
– X
9 4 = 36
15+20 = 35
so, 35/36
Hope this help, have a great day, and Stay Safe.
:)
Which equation is equivalent to 2x + 10 = 6
A)
2x = 4
x + 5 = 3
(
x + 10 = 3
2x + 6 = 10
Answers
x=-2
in a wildlife park there were 18 gray wolves after three years there were 27 gray wolves what is the precent increase
Answers
From 18 wolves to 27 wolves, what was the increase? 27 - 18 is 9, so the increase was 9.
How much of 18 is 9? 9 / 18 is equal to 1 / 2, which is 0.5. To make 0.5 a percent we multiply by 100.
0.5 times 100 is 50%.
Simplify [tex]5\sqrt{81q^5}[/tex]
Answers
Answer:
45√q^5
Step-by-step explanation:
During a solo competition for playing the flute, Sandra was given the following scores by four of the five judges:
6, 8, 9, and 8. What score would the fifth judge need to give her so that her average score from the five judges
was 8.0?
Answers
Answer: she needs a 9 from the fifth judge
Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.
find the simple interest on $5,000 at 6% interest for 3.5 years.
Answers
Look at the attached picture ⤴
Hope it will help u..
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
Answers
The answer is C
Insert y=X-2 into the equation y=-X+2
You will get the point (2,0)
Insert y=2X-1 into the same equation
you will get the point (1,1).
Without solving for the last point
you will realize that your answer is C
Note: This approach is appropriate for solving objective questions
A patient takes a medication with a half life. Initially, there are 11 milligrams of the medication in the patient's system. After 70 minutes there are 7 milligrams. After how many minutes will there be only 3 milligrams remaining in the patient’s system? here be after 10 hours? Round your answer to the nearest whole number, do not include units.
Answers
Answer:
201
Step-by-step explanation:
The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.
The two lines $y = 2x - 13$ and $3x+y = 92$ intersect. What is the value of $x$ at the point of intersection?
Answers
Answer:
21
Step-by-step explanation:
At the intersection of two lines, the x's are equal and the y's are equal. We may set 2x - 13 = 92 - 3x to find an x, where the y's are equal.
2x - 13 &= 92 - 3x
5x = 105
x =21
Help??????????????????(
Answers
Step-by-step explanation:
Tn = n² - 3
Now
the first three terms
t1 = 1² - 3 = 1 - 3= -2
t2 = 2² - 3= 4 - 3 = 1
t3 = 3² - 3 = 9 - 3 = 6
----------------
The first three terms are -2 , 1 , 6
and
tenth term
t10= 10² - 3= 100-3 = 97
Hope it will help you :))
Answer:
-2, 1, 6 and the 10th is 97
Step-by-step explanation:
to find the terms, in a row, replace n with 1
nth = 1^2 -3 -2 is the answer (1^2) is 1 -3 = -2
then replace the n with 2, 3, 4 etc till you have your sequence
nth = 2^2 -3 1 is the answer (2^2) is 4 -3 = 1
nth = 3^2 -3 6 is the answer (3^2) is 9-3 = 6
nth = 4^2 -3 13 is the answer (4^2) is 16-3 = 13
nth = 5^2 -3 22 is the answer (5^2) is 25-3 = 22
etc to 10
nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97
sequence is -2, 1, 6, 13, 22, . . . . 97
Which 2d shape can be rotated about the y axis to create a cone
Answers
Answer:
a triangle
Step-by-step explanation:
Answer:
a right triangle
Select the equivalent expression
Answers
hope this helps!
What is the slope of the graph? (Example: 2/3,-4,-2/9)
Answers
Answer:
7/9
Step-by-step explanation:
Answer:
The slope is -1
Step-by-step explanation:
Slope is rise/run
In the picture the graph 'raises' by -1 (Because its going down) and runs by 1
so the slope is -1/1 or -1
On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?
Answers
Answer:
Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $
Step-by-step explanation:
Given:
Initial price=$5.36
Rate=4.15 %
To Find:
Function which represents the growth price for stock market?
Solution:
As the function is growing one and with same rate and depends upon the time period ,
So the exponential function as
[tex]P=A(1+R)^t[/tex] will the required function ,
So P will be price of stock at t time period with R as rate for function.
A be the previous year price
From 2009 to 2013 rate is 4.15 %
we have to find price after 2 years
So t=2 , A at 2009 =5.36$
So P at 2011 will be given by,
[tex]P=A(1+R)^t[/tex]
[tex]P=5.36(1+0.0415)^2[/tex]
[tex]P=5.36(1.0415)^2[/tex]
[tex]P=5.8141 $[/tex]
EE
Solve the system of equations.
y= 2x + 4
y = x2 + x - 2
A. (-2, 0) and (3, 10)
B. (2,0) and (-3,-10)
C. (-3,-10) and (-2,0)
D. (-3, 10) and (2,0)
Answers
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x + 4 → (1)
y = x² + x - 2 → (2)
Substitute y = x² + x - 2 into (1)
x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )
x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )
Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? x = What is the value of y in this simplified expression? y =
Answers
Answer:x=7 y=5
Step-by-step explanation:
I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.
Answer:
-4
Step-by-step explanation:
magic
do y’all know what these symbols are called ??
Answers
Answer:
They are called tie's
Step-by-step explanation:
They basically mean to carry the note out longer so instead of it being 4 beats its now 8
Hope that helped!
15x + 35 = 65 * what does X=
A. x = 2
B. x = -2
C. x = 5
D. x = 50
Answers
Answer:
A
Step-by-step explanation:
15x+35=65
15x=30
x=2
Answer: X= 2
Step-by-step explanation:
We know that 15 + 35 = 50.
But we still need to figure out the X, out of the options multiply it by 2 will get you 30. If we have 30 then we can complete our equation.
15x2 = 30 + 35 = 65
Hope this helps :D
Please answer this question! I will try to give brainlist if possible. I beg you, I have asked this question three times!
Answers
Answer:
2/7
Step-by-step explanation:
Even numbers: 6, 8, 10, 20
P(E1) = 4/7
P(E2) = 3/6
4/7 × 3/6
2/7
The measurement of one angle of a right triangle is 43° what is the measurement of the third angle
Answers
Solve the equation if 0 degrees<=x<=360 degrees.
sinx= -sqrt 2/2
Answers
Answer:
Step-by-step explanation:
hello :
sinx = - -√2/2 0°≤x≤360°
x = 225°
x= 315°
The value of x in this equation is 315°
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here:
Sinx= -√2/2
x =sin⁻¹( -√2/2)
x = -45°
Therefore positive angle of x is given by 360-45=315°
Hence, The value of x in this equation is 315°
Learn more about trigonometric functions here:
https://brainly.com/question/6904750
#SPJ3
There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
Answers
Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.
To solve this, we can set up two equations based on the number of coins and their total value.
Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:
d + q = 15
The second equation is based on the total value of the coins:
0.10d + 0.25q = 2.85
To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:
d + 2.5q = 28.5
Subtracting the first equation from this results in:
1.5q = 13.5
Dividing by 1.5 gives us the number of quarters:
q = 9
Substituting q = 9 into the first equation gives us the number of dimes:
d + 9 = 15
d = 6
Therefore, there are 6 dimes and 9 quarters in the cup.
How to convert 7 over 9 to a decimal?
Answers
A paving company was hired to make a 4 mile section of the highway. They need 700 tons of concrete to complete the job. How many pounds of concrete will they need to repave the highway?
Answers
Answer:
they will need 1,400,000
Step-by-step explanation:
1 ton is 2,000 pounds. so 700x 2,000=1,400,000
Which point is a solution to the inequality? (–2, 1) (–1, 1) (0, One-half) (3, One-half)
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer: The answer is (3, One-half) or option D
Step-by-step explanation:
help me pls ill give brainly
64−(3y+8y+y)÷40=37
Answers
64 - (3y + 8y + y) / 40 = 37
Simplify 3y + 8y + y
64 - 12y / 40 = 37
Add 12y / 40 to both sides and subtract 37
27 = 12y / 40
Multiply both sides by 40
1080 = 12y
Divide both sides by 12
90 = y
Answer:
y=90
Step-by-step explanation:
Collect the like terms first (3y, 8y, and y) and add them together, which gives you 12y. Equation looks like this so far 64-12y/40=37
Divide the -12 by 40, which can be reduced to -3/10.Equation so far: 64-3/10y=37
Multiply each side by 10 to cancel out the 10 in -3/10y. Equation so far: 640-3y=370
Use inverse operations to move the 640 with the 370. Equation so far: 3y=370-640
Subtract 640 from 370, which gives you -270. Then you'll have -3y=-270 and divide both sides by -3.
Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?
Answers
4x + 12 = 9x - 3
x = 3
4(3) + 12 = 9(3) - 3
12 + 12 = 27 - 3
24 = 24 ✔️
Answer:
4(3+3)=3(3(3)-1)
Step-by-step explanation:
1) plug in the three
2) distribute
3) see if the answers gotten are the same if not than the statement is wrong
I know it looks a bit complicated but its not once you get the hang of it
Which best describes the scale factor for each
dilation?
Answers
Can you give us the options so we can try to help you?
These are the dilations