Answers
Answer:
6
Step-by-step explanation:
Use Pythagorean Theorem to solve for the missing side:
[tex]a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6[/tex]
Related Questions
PLZ HELP: Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
Answers
Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\frac{1}{2}[/tex] x + 4 ( multiply through by 2 to clear the fraction )
2y = x + 8 ( subtract 8 from both sides )
2y - 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex](x ) = 2x - 8
[tex]f^{-1}[/tex](4) = 2(4) - 8 = 8 - 8 = 0
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answers
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.
What is Solution to Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.
We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.
We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.
Learn more about Equation here:
https://brainly.com/question/505879
#SPJ2
Round 25446 to 1 significant figure
Answers
Answer:
30000
Step-by-step explanation:
Each question is worti 2 punts
5. The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria
is designing a T-shirt for her trip to France and she wants to put a picture of the Eiffel tower on
the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of
.75 feet and a height of 1.5 feet. Maria uses a scale factor of where k is an integer, to shrink
the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?
Answers
Answer:
The smallest possible value of k is 656
Step-by-step explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.
Find the volume of the sphere.
Either enter an exact answer in terms of πpi or use 3.14 for π and round your final answer to the nearest hundredth.
Answers
Answer:
V=4
3πr3 is formula of this question
Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15
Answers
Answer:
The answer is D (6).
hope this helps!
A common factor of 3k and 18 that is greater than 1 is
Answers
Answer and Step-by-step explanation:
A common factor of 3k and 18 is 3.
3 goes into both of these numbers, and is greater than 1.
#teamtrees #PAW (Plant and Water)
Which letter in the word HAPPY has an order 2 rotational symmetry?
H
A
P
Y
Answers
Answer:Option 1) H
Step-by-step explanation:
Answer:
its H
Step-by-step explanation:
EDG 2021
find the location of Q
Answers
Answer:
6 pretty sure
Step-by-step explanation:
Yana though of a number she multlipied it by 8 subtracted 4 divided the result by 2 what number did yana think of
Answers
Complete Question
Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
From the question we are told that:
Thought of Number x
Multiplied it by 8
[tex]x*8=8x[/tex]
Subtracted 4
[tex]8x-4[/tex]
Divided the result by 2
[tex]\frac{8x-4}{2}[/tex]
Generally the equation for x is mathematically given by
[tex]\frac{8x-4}{2}=30[/tex]
[tex]8x-4=60[/tex]
[tex]8x=60+4[/tex]
[tex]x=8[/tex]
a cell phone plan charges a base fee of $62 and an overage charges $30 per gigabyte of data that exceeds 2 GB
Answers
Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)
Answers
Answer:
5,120
Step-by-step explanation:
5x4=20
20×4=80
80x4=320
320x4=1,280
1,280x4=5,120
Hope this helps! :)
Answer:
Step-by-step explanation:
first term a=5
common ratio r=20/5=4
[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]
which word describes the slope of the line?
a) positive
b) negative
c) zero
d) undefined
Answers
Answer: To me it (Zero) or (Undefined)
can you help me get the answer for this Q :)
Answers
Answer:
sorry need some points
Step-by-step explanation:
49 + 710 is 10390.49 + 710 is 10390.
find the area of the circle. leave your answer in terms is pi.
a. 9
b. 324
c. 82
d. 18
Answers
Answer:
9
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
9×2 =18 or 9+9=18 I haven't done this since 6 grade sorry if I got it wrong
a band concert hall has 24 seats of which 18 are occupied what percent of the seats are occupied
Answers
Answer:
75%
Step-by-step explanation:
18/24 = .75
Answer:
75%
Step-by-step explanation:
18 / 24 = 0.75%
I need help with 16-25 please
Simplify using only positive exponents
Answers
Answer:
16. 8/x
17. 8x
18. 4x⁴/y³ (not clear)
19. 16x^8
20. 256 R⁴
21. 64x^6
22. 81x^8
23. 1/ 3x
24. 5x
25. 1
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction
Answers
Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]
Direction is given by using figure i.e.
[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]
Direction is [tex]15.85^{\circ}[/tex] North of east
Solve for x and show work
Answers
Answer:
Hi,
These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?
Step-by-step explanation:
for the same girl again plz.
Answers
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...In 2001 the club's total income was£1000 the club spent 60%of its total incoming on a hall. It spent farther £250 on price work out this ratio the amount spent on the hall the amount spent the prise
Answers
Answer:
We need to know the question??
Step-by-step explanation:
Help a bab out with something, please?
Answers
Answer:
18
Step-by-step explanation:
The four factors of 91
Answers
Answer:
1,7,13,91
Step-by-step explanation:
thats the four factors if 91
Please help thanks! Brainliest
Answers
81 - 21 = 60
60 / -6
10
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Answers
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
hey, another math question
Answers
Answer:
Step-by-step explanation:
By adjacent interior angles theorem,
If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.
a° + (3x - 18)° = 180°
a° = 180° - (3x - 18)°
By vertical angles theorem,
If two straight lines intersect each other at a point, opposite angles formed are equal in measure.
180° - (3x - 18)° = (5x - 10)°
(5x - 10) + (3x - 18) = 180
(5x + 3x) - (10 + 18) = 180
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
pls help pls pls pls
Answers
Answer:
12/4 i really hope this helps i took the test and got a 100
Step-by-step explanation:
there are 6 pink beads and 44 purple beads on olives necklace. What is the ratio of the number of pink beads to the total number beads.
Answers
Answer:
Step-by-step explanation:
3:22
Answer:
6/50
Step-by-step explanation:
using probability
pink beads = 6
total beads = 44 + 6
= 50
6/50
3/25
therefore ratio
3 : 25
х
4
16
Find the exact value of x.
=
Answers
Answer:
The value of x is 8
Step-by-step explanation:
Find the value of x.
Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].
Substitute,
[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]
Simplify,
[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]
Cross products,
[tex]5(x+2)=3(2x+2)\\[/tex]
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
[tex]5x+10=6x+6[/tex]
Inverse operations,
[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]
