Answer:
x=[tex]\sqrt{220}[/tex]
Step-by-step explanation:
Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.
We know that
a²+b²=c²
Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).
In this case,
x=a
b=6
c=16
So to plug these into the equation, we get:
x²+6²=16²
To isolate x,
we get:
x²=16²-6²
x=[tex]\sqrt{16^2-6^2}[/tex]
[tex]x=\sqrt[]{220}[/tex]
_________
[tex] \: [/tex]
x² = 16² - 6²
x² = 256 - 36
x² = 220
x = √220
x ≈ 14.9cm
whats the solution of 4-|x| = 1
Answer:
Well, x=3, -3
Step-by-step explanation:
If you use a calculator you'll easily be able to figure this out.
Answer:
x = -3 or x = 3
Step-by-step explanation:
4 - |x| = 1
Subtract 4 from both sides:
4 - 4 - |x| = 1 - 4
- |x| = -3
Divide both sides by -1:
[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]
x = -3 or x = 3
Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?
Answer:
17 books
Step-by-step explanation:
the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .
Answer:
it will be $1.50 (sure yan ah diyan joke)
Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!
Step-by-step explanation:
the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is
49000000 -8373448588766
answer:
-8.3733995^12
Ben said: For every $60 the sixth graders plan to raise, the seventh graders
plan to raise $90. He looks at the principal's thermometers and sees that
$60 is at the same place on the sixth-grade thermometer as $90 is on
the seventh-grade thermometer.
Ben also makes the claim: For every $30 the sixth graders plan to raise,
the seventh graders plan to raise $45.
Do you agree with this claim? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)
Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).
Answer:
y = ¼x + (-7/4)Step-by-step explanation:
find the gradient ( M)
M = y2- y1 ÷ x2-x1
M= -3 - (-1)÷(-5)-3 = ¼
thefind C in the equation (y=mx+c)
C = y-mx ( C = -1-¼(3)= -7/4(use in y and x values provided)
now replace the values you find in the equation (y=Mx+C)
final answer is
y = ¼x+(-7/4)y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)
What is Slope intercept form?y=mx=c is the slope intercept form of a line, m is the slope.
We need to find equation of line passing through (3, −1) and (−5, −3)
First we need to calculate slope 'm'.
slope m = y2- y1 / x2-x1
y2=-3, y1=-1, x2=-5, x1=3
m= -3 - (-1)/(-5)-3 = -2/-8=1/4
Equation of line, y=mx+c
find C in the equation (y=mx+c)
C = y-mx
C = -1-1/4(3)= -7/4
now replace the values you find in the equation (y=Mx+C)
y =1/4x-7/4
Hence y =1/4x-7/4 is the equation of line passes through (3, −1) and (−5, −3).
To learn more on slope intercept form click:
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Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
Answer:
my brother said it is 5 and 10... but i do not know if it is
In Math, the word dilate means to make a figure
Answer:
False
Step-by-step explanation:
in math, dilate means changing the size of an object without changing its shape
Have a good day, sorry if I'm wrong:)
(if I am wrong, plz tell me<3)
Anyone know thiss?I need helpppp!!
Answer:
5)
V= 1,-4
S) x=1
Min= 1,-4
zeros= (-1,0)(3,0)
6)
V= -2,0
S= x=-2
min= -2,0
zeros= -2,0
 Use trigonometric identities to solve each equation within the given domain
sec(x) cos(3x) = 0 from [- x /2 , x /2]
Answer:
Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].
Step-by-step explanation:
Angle sum identity for cosine:
[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].
Double-angle identity for cosine and sine:
[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].
[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].
The secant of an angle is the inverse reciprocal of the cosine of that angle:
[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].
Apply these identities to rewrite the left-hand side of the equation.
[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].
Solve the rewritten equation:
[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].
Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].
The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].
If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].
Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],
Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.
Where did we get one?
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
Correct answer gets Brainly !!
Answer: X=5
Step-by-step explanation: Because if you subtract 10-(-5) it = 5
3x/2x simplified into racio
Answer:
Simplify the expression.
3x2/2
hope this makes sense lol
Step-by-step explanation:
Answer:
1.5 : 1 (or) 3/2
Step-by-step explanation:
Given expression,
→ 3x/2x
Let's simplify the expression,
→ 3x/2x
→ (3 ÷ 2)(x ÷ x)
→ (1.5)(1)
→ 1.5
Now the required ratio will be,
→ 3 : 2
→ 1.5 : 1
Hence, required ratio is 1.5 : 1.
pls answer asap and correctly
Answer:
B
Step-by-step explanation:
Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answer:
=8
Step-by-step explanation: becuase this inst high school this is like third grade
how do I do 1. e) PLEASE HELP I’LL GIVE BRAINEST
Answer:
5/6, 6/7, 7/8
Step-by-step explanation:
The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.
Hope that helps
2x+2x+2=4x+2 one solution, infinite, or no solution
Answer:
0=0
Step-by-step explanation:
simplify 1/5(4x-7)+2/5x
4/5x-1
1 1/5x-1 2/5
1 1/5x+1 4/5
4/5x+1 4/5
Answer:
Option 2:[tex]1 \frac{1}{5} x - 1 \frac{2}{5} [/tex]Step-by-step explanation:
[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]
[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]
[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]
[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]
[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]
[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]
make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
The p/q form of 0.4277777....... ,9 # 0 is 77/180 ( ) 180 43 90 37 90
Answer:
77/180
Step-by-step explanation:
x = 0.42777....
Multiply by 1000 (the number of digits in decimal)
1000x = 427.7777......
100x = 42.7777...... {Now subtract}
900x = 385
x = 385/900
x = 77/180
Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.
please help me with math
Answer:
Hope this helps
Step-by-step explanation:
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
May I please receive help?
Answer:
m<2 = 94°
Step-by-step explanation:
just have to subtract 132-39=94
does anyone know how to do this
Answer:
(2,2)
Step-by-step explanation:
To draw a graph you find the y value for a couple of x values. For a linear equation like the one given, two points are enough because the graph is always a straight line.
First graph
First, convert the equation into the y=... form:
x - y = 0 => y = x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=0, so (0,0) is a point on the graph
for x=5, you find y=5, so (5,5) is a point on the graph
Now plot these two points and draw a line through them.
Second graph
First, convert the equation into the y=... form:
x + y = 4 => y = 4 - x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=4, so (0,4) is a point on the graph
for x=5, you find y=-1, so (5,-1) is a point on the graph
Now plot these two points and draw a line through them.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
Answer:
3500
Step-by-step explanation:
if you rounding 0.7306 up to nearest euro its equal to a dollar
The number of euros that Varia can expect to pay per month to the university will be € 213.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.
We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,
⇒ $3,500 x 0.7306
⇒ €2,557.1
Then the number of euros that Varia can expect to pay per month to the university will be given as,
⇒ €2,557.1 / 12
⇒ € 213.09
⇒ € 213
The number of euros that Varia can expect to pay per month to the university will be € 213.
More about the conversion link is given below.
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You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?
86.4
....................
the ratio of the interior angle to the exterior angle measures of a triangle is 1:4:5. What are the angle measures
Answer:
18°
Step-by-step explanation:
because it is ratio let represent by x
1x+4x+5x=180
10x=180
x=18°
hope that helps