We're given the hypotenuse and one side and we're looking for the missing side so use pythagorean.
20² - 16² = 144²
Square root of 144 = 12 feet
[tex] \huge \purple{\tt{Answer:}} [/tex]
[tex] (AB)^2 = (AC)^2 - (BC)^2 \\\\\ \implies (AB)^2 = (20)^2 - (16)^2 \\\\\ \implies AB^2 = 400-256 \\\\\ \implies AB^2 = 144 \\\\\ AB = {\sqrt{144}} \\\\\ \implies AB=12 ~feet [/tex]
The picture will help you understand better .
find the nth term of the following sequence
-7 ,-4 , -1 , 2 ,5
Answer:
3n - 10
Step-by-step explanation:
Find the difference between the terms
-7 , -4 , -1, 2, 5
+3 +3 +3 +3
Difference of terms = 3, so you'd write that as 3n
Then you'd need to find the difference between the 1st term and 3:
3 > -7
- 10
So you'd write that as 3n - 10
Can someone help me out please?
Step-by-step explanation:
perp. 1/2
y - 2 = 1/2(x + 4)
y-2 = 1/2x+2
y=1/2x+4
Can somebody solve this?
Answer:
x= 2
Step-by-step explanation:
Isolate the radical
Raise each side of the equation to the power of 3
The mean of four positive integers is 5. The median of the four integers is 6.
What is the mean of the largest and smallest of the integers?
Submit Answer
Skip for Now
9514 1404 393
Answer:
4
Step-by-step explanation:
The median of a data set with an even number of members is the average of the middle two. We are told that is 6. The average of the whole set of 4 integers will be the average of the averages of the middle two and the two others.
In other words, the average of 6 and the number you're looking for is 5. That means the number you're looking for is x, where ...
(x +6)/2 = 5
x +6 = 10
x = 4
The mean of the largest and smallest integers is 4.
My last math question of the day! Help me out!
What equation can be used to find B, the number of points scored!
Thank you!
Answer:
A
Step-by-step explanation:
Let b represent the number of points Ben scored.
We know that Lori scored 26 points.
This amount is two less than four times what Ben scored.
Four times what Ben scored will simply be 4b.
And two less will be 4b - 2.
This is equivalent to Lori's score.
So, we can write that:
[tex]4b-2=26[/tex]
Hence, our answer is A.
Answer:
I believe it is A
Step-by-step explanation:
Since in this problem you would want to find b, which is stated the is almost 4 times 26... however is 2 less. The other options are wrong since you would want a bigger number, not a smaller one... Hopefully this is helpful
The Warriors beat the Hawks in basketball. The Warriors scored six less than triple the Hawk's point total. The combined score for the two teams was 66. How many points did each team score?
Answer:
Warriors scored 48 points and Hawk score 18 points.
Step-by-step explanation:
The Warriors beat the Hawks in basketball.
Let hawk's point be h.
Warriors score,
w=3h-6
w-3h=-6 ...(1)
The combined score for the two teams was 66.
w+h=66 ...(2)
Subtract equation (1) from (2).
w+h-(w-3h) = 66-(-6)
w+h-w+3h = 72
4h = 72
h = 18
Put the value of h in equation (2).
w+18=66
w = 48
So, Warriors scored 48 points and Hawk score 18 points.
HELP HELP I NEED HELP ASAP PLEASE!!
Find an integer a such that a < √77 < a + 1
PLEASE RIGHT AND EXPLANATION TOO
Answer:
I don't know what z I don't know I don't know
Answer:
Maybe 78 and 76
Step-by-step explanation:
Thats what I got, Idrk how to explain it though-
what is the value of y in the following system of equations? explain how you found your answer
Step-by-step explanation:
I've used elimination method over here but it can also be done by using substitution.
help please if you dont mind
Answer:
D)
Step-by-step explanation:
For every x, there can be only y.
A, B and C violate that.
please help, I'm going crazy on this question ;(
Step-by-step explanation:
Hey!
So mode is basically the most occurring number in the given data.
So first arrange it in ascending or descending order.
so it will be- 1,1,2,2,3,7
Here the most frequently occurring is 1 and 2
so mode=1,2
Answer:
mode is 6 since it has the highest frequency
The same digits are used for the expressions 34and 43.Explain how to compare the values of the expressions. whoever answers correct ily
(3x10) + (4x1) = 34
(4x10) + (3x1) = 43
There are three tens in 34 and 4 tens in 43, and there are 4 ones in 34 and 3 ones in 43
Mark as Brainllest
please help me smart ones
Answer:
2.05x24.6Step-by-step explanation:
Row with x:
x ⇒ 2.05xThe last row:
12 ⇒ 12*2.05 = 24.6Failing this class plz help
Answer:
m∠2 = 35°m∠3 = 55°Step-by-step explanation:
Angles 2 and 3 are complementary ⇒ m∠2 + m∠3 = 90°
Angles 3 and 4 are complementary ⇒ m∠3 + m∠4 = 90
m∠2 = m∠4 = 35°m∠3 = 90° - 35° = 55°Luke had 200 baseball cards. 15% if hid cards are minnesota twins players. how many twins baseball cards does he have?
Answer:
30 twins baseball cards
Step-by-step explanation:
15% of 200 is 30.
Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)
Answer:abcd
Step-by-step explanation:
"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",
(x, y) → (x, y + h)
If the vertices of a square are,
A(1, 2), B(3, 2), C(3, 4), D(1, 4)
If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,
A(1, 2) → A'(1, 2+5)
→ A'(1, 7)
B(3, 2) → B'(3, 2+5)
→ B'(3, 7)
C(3, 4) → C'(3, 4+5)
→ C'(3, 9)
D(1, 4) → D'(1, 4+5)
→ D'(1, 9)
Therefore, Option (A) will be the answer.
Learn more,
https://brainly.com/question/13365243
Evaluate 10.5p +9.9r when p = 7 and r = 8.
10.5+9.90
+ 79.2
Answer 152.7.
What is an Arithmetic operation?
An arithmetic operation is specified by combining operands with a single arithmetic operator. Adding, subtracting, dividing, and multiplying are examples of built-in functions that may be used to express mathematical operations. PEMDAS is generally used to calculate different arithmetic operations.
Given the equation 10.5p + 9.9r. we need to evaluate the equation when p= 7 and r= 8. putting these values in the given equation.
10.5*7 + 9.9*8
=152.7
Therefore, the solution of the given equation will be 152.7.
Learn more about arithmetic operations here:
brainly.com/question/21469812
#SPJ2
HELP ME ;-; need it plsssssss
Answer:
1) Similar
2) similar
3) Dissimilar
4) Dissimilar
5)similar
Step-by-step explanation:
similar:KAPAG MAGKAPAREHO ANG NUMBER NG DENAMONATOR NG ISANG FRACTION O MAG KAPAREHO ANG KANILANG NUMERATOR NUMBER
DISSIMILAR:KAPAG HINDI MAGKAPAREHO ANG NUMBER NG DENAMONATOR O HINDI MAGKAPAREHO ANG NUMBER NG NUMERATOR
Choose the statement that is true about the given quantities.
Answer:
Olá, tudo bem?
Step-by-step explanation:
Meu nome é Ana Kesia, e o seu?
Foi mal, Nn Consegui responder!
Answer:
The quantity of column A is greater
Step-by-step explanation:
sin 45 = 0.7071
cos 45 = 0.525
therefore, 0.7071 > 0.525
therefore. sin 45. > cos 45
5.Simplify each of the following: (i) 7sqrt(2)+5sqrt(8) (ii) 15sqrt(6)-sqrt(216) (iii) 8sqrt(45)-8sqrt(20)+sqrt(245)-3sqrt(125)
Answer:
(i) 17[tex]\sqrt{2}[/tex]
(ii) 9[tex]\sqrt{6}[/tex]
(iii) 0
Step-by-step explanation:
(i) 7[tex]\sqrt{2}[/tex] + 5[tex]\sqrt{2}[/tex][tex]\sqrt{4}[/tex] = 7[tex]\sqrt{2}[/tex] + 10[tex]\sqrt{2}[/tex] = 17[tex]\sqrt{2}[/tex]
(ii) 15[tex]\sqrt{6}[/tex] - [tex]\sqrt{216}[/tex] = 15[tex]\sqrt{6}[/tex] - [tex]\sqrt{36}[/tex]·[tex]\sqrt{6}[/tex] = 9[tex]\sqrt{6}[/tex]
(iii) 8[tex]\sqrt{45}[/tex] - 8 [tex]\sqrt{20}[/tex] + [tex]\sqrt{245}[/tex] - 3[tex]\sqrt{125}[/tex] = 8[tex]\sqrt{9}[/tex]·[tex]\sqrt{5}[/tex] - 8[tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex] + [tex]\sqrt{49}[/tex]·[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{25}[/tex]·[tex]\sqrt{5}[/tex] =
24[tex]\sqrt{5}[/tex] - 16[tex]\sqrt{5}[/tex] + 7[tex]\sqrt{5}[/tex] - 15[tex]\sqrt{5}[/tex] = 8[tex]\sqrt{5}[/tex] - 8[tex]\sqrt{5}[/tex] = 0
A square wall is covered with sqare tiles. There are 85 tiles altogether along the two diagonals. How many tiles are there on the whole wall?
Answer:
There are 1849 tiles on the whole wall.
Step-by-step explanation:
If there are 85 tiles along the two diagonals, we can use the following rule:
[tex]\frac{85+1}{2}=43[/tex]
So we have 43 tiles in the first diagonal and 85-43 = 42 in the second diagonal.
Now, as we have a square the side will have 43 tiles so the total area will be cover with:
[tex]A=43*43=1849[/tex]
Therefore, there are 1849 tiles on the whole wall.
I hope it helps you!
Which equation is equivalent to
Answer:
4K^4
Step-by-step explanation:
Answer:
4k^4
Step-by-step explanation:
Just break it down step by step. The cube root of 64 is 4, since 4*4*4 = 64.
The cube root of k^12 is k^4, since k^4*k^4*k^4 = k^12 (since you add the exponent together when multiplying.
So, when you put this together, the cube root must be 4k^4.
Find the solution for the system of linear equations by graphing: y=x
Y=2x -4
Answer:
x and y = 4
Step-by-step explanation:
Since y=x ---> x=2x-4
-x -x
0=x-4
+4 +4 ------------------> Therefore, x= 4 and y= y
If you could graph both lines you would find they intersect at (4,4)
Answer:
(4,4)
Step-by-step explanation:
Which graph represents the function f(x) = -x] – 2?
Answer: the first graph !!
Step-by-step explanation:
the angle of a triangle in the ratio 1:3:5 how much is the larger angle
Answer:
100°
Step-by-step explanation:
The sum of all the angles in a triangle is 180°.
This is 1 + 3 + 5 = 9
180 ÷ 9 = 20
The scale factor is 20.
Multiply 5 (the greatest angle) by the scale factor.
5 x 20 = 100
Find the area of the triangle below. Be sure to include the correct unit in your answer
Answer:
Step-by-step explanation:
here
base(b) = 13 yd
height (h) = 4 yd
area of triangle
= 1/2 *b*h
= 1/2 * 13 * 4
= 26 yd²
Consider functions g and h
g(x)=3(x-2)+1
h(x)=-2x+14
What is the value of (h ∘ g)(4)?
-6
0
82
13
Answer:
0
Step-by-step explanation:
Remark
It is not at all obvious which function goes where. The way to write this so you can tell is
h(g(x))
That means that wherever you see an x in h(x), you put g(x) there.
Formula
h(x) = 2x + 14
h(g(x)) = -2 * g(x) + 14
Solution
h(g(x)) = -2 * [3(x - 2) + 1] + 14
h(g(x)) =-2 [ (3x - 6) + 1 ] + 14
h(g(x)) =-2 [ 3x - 6 + 1) ] + 14
h(g(x)) =-2 [ 3x - 5 ] + 14
h(g(x)) = -6x + 10 + 14
h(g(x) = -6x + 24
h(g(4)) =-6*4 + 24
h(g(4)) = 0
Answer:
-6
Step-by-step explanation:
plato
Write the equation of the parabola in vertex form.
y = (x+3)² - 4
Explanationy = (x - a)² + b
where (a,b) is the upper/lower point of the curve
If you still dont understand, look at pic for more example.
Does anyone know the answer for this?
Answer:
Cd is 20 cm
Step-by-step explanation:
3 2/5+2 and one fifths
The answer is
[tex]5 \frac{3}{5} [/tex]
If you want in decimal form, the answer would be,
[tex]5.6[/tex]
A set of scores with a normal distribution has a mean of 50 and a
standard deviation of 7. Approximately what percent of the scores
fall in the range 36-64?