Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
Can you answer this math homework? Please!
Answer:
1
Step-by-step explanation:
Answer:
They are both correct
Step-by-step explanation:
They started isolating different variables but essentially they have found the same answers just with different isolated variables, thus their answers look different, but in reality, are the exact same.We can test by plugging 5 in for x, and 15 in for y.
Jared:
[tex]y=x+10\\[/tex][tex]15=5+10[/tex][tex]15=15[/tex]Nicole:
[tex]x=y-10[/tex][tex]5=15-10[/tex][tex]5=5[/tex]Equations are equal.
9. Choose the equation that represents the graph below:
Answer:
y= -4/3 x + 4
Step-by-step explanation:
i guess
16:32:12
Which linear inequality is represented by the graph?
O x < 2 x + 3
Oy> x+3
O y>x+3
O y<{x+3
-3 -2 -1
The linear inequality that represents the graph is y > (2/3)x + 3.
Option C is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
y < (2/3)x + 3
y > (3/2)x + 3
y > (2/3)x + 3
y < (3/2)x + 3
The graph is on the positive side of the y-coordinate so,
We can consider:
y > (3/2)x + 3
y > (2/3)x + 3
Now,
Plotting in a graph we see that,
We need to have the y-intercept at y = 3 and the x-intercept at x = 4.5.
So,
y > (2/3)x + 3 satisfied.
Thus,
y > (2/3)x + 3 represents the graph.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ7
There are 25 rows of seats in the high school auditorium with 20 seats in the first row, 21 seats in the second
row, 22 seats in the third row, and so on. How many total seats are in the auditorium?
OA) 800 seats
OB) 860 seats
Answer:
A) 800 seats
Step-by-step explanation:
Notice that an arithmetic sequence is formed with the number of seats. Since we're adding one seat each row, the last (25th) row will have 44 seats since the first row has 20 seats.
The sum of an arithmetic sequence is given by:
[tex]S_n=n\left(\frac{a_1+a_n}{2}\right)[/tex], where [tex]n[/tex] is the number of terms, [tex]a_1[/tex] is the first term, and [tex]a_n[/tex] is the last term
Therefore, substituting [tex]a_1=20[/tex], [tex]a_n=44[/tex], and [tex]n=25[/tex], we get:
[tex]S_n=25(\frac{20+44}{2}),\\s_n=25\cdot 32=\boxed{800}[/tex]
Viết khai triển theo công thức nhị thức Niu-tơn (x + 1) ^ 5
Answer:
x^5+5x^4+10x³+10x²+5x+1
Step-by-step explanation:
ASAP please help meeeeeeeeeeeeeee
Answer:
7/10
(-4×-7)/(5×8)
=28/40
=7/10
Mr. Serpe started with $200. He has a hole in his pocket and he lost $2 every day for a week. He then found $150. How much money does he have?
Answer:
336
Step-by-step explanation:
2x7=14, so 200-14=186, then 186+150=336
How much less is 17km than 24.6km?
Answer:
[tex]7.4km[/tex]
Step-by-step explanation:
[tex]24.6km - 17km \\ = 7.4km[/tex]
hope this helps you.
which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2?
the answer is on the photo
Find the measure of one exterior angle for the following regular polygon
Combine and simplify the following radical expression.
Answer:
[tex]24 \sqrt{5} [/tex]Step-by-step explanation:
[tex]2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80} [/tex]
[tex] = 2 \sqrt{2 \times 2 \times 5} + 8 \sqrt{3 \times 3 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} [/tex]
[tex] = 2(2 \sqrt{5} ) + 8(3 \sqrt{5} ) - (4 \sqrt{5} )[/tex]
[tex] = 4 \sqrt{5} + 24 \sqrt{5} - 4 \sqrt{5} [/tex]
[tex] = 24 \sqrt{5} (ans)[/tex]
Answer:
[tex]\huge\boxed{24\sqrt5}[/tex]
Step-by-step explanation:
[tex]2\sqrt{20}+8\sqrt{45}-\sqrt{80}\\\\=2\sqrt{4\cdot5}+8\sqrt{9\cdot5}-\sqrt{16\cdot5}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5\\\\\text{we know}\ a\sqrt{b}=a\cdot\sqrt{b},\ \text{and}\ \sqrt{a}=b\iff b^2=a\\\\\text{Therefore}\\ 2\sqrt{4}=2\cdot\sqrt4=2\cdot2=4\\8\sqrt9=8\cdot\sqrt9=8\cdot3=24\\\sqrt{16}\cdot\sqrt5=4\cdot\sqrt5=4\sqrt5\\\\\text{Therefore}[/tex]
[tex]=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5=4\sqrt5+24\sqrt5-4\sqrt5\\\\=(4+24-4)\sqrt5=24\sqrt5[/tex]
Write an equation of the line that passes through the point (6, -9) with the given slope m = 3.
Answer:
y = 3x - 27
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (6, - 9) into the partial equation
- 9 = 18 + c ⇒ c = - 9 - 18 = - 27
y = 3x - 27 ← equation of line
3(5-4)+2(5)-5 squared
the answer should be -12 if I did the math right.
Step-by-step explanation:
3*1+10-5^2(we subtract 5 from 4 first because it was inside bracket)
3+10-25(Square of 5 is 25)
-12(subtracting the above equation 12 comes)
What should be done first to evaluate the expression?
4 + 8 ÷ 4 - 2 × 5
Add 4 and 8.
Divide 8 by 4.
Subtract 2 from 4.
Multiply 2 by 5.
Divide 8 by 4
Because is PEDMAS, division comes first.
Answer:
divide 8 by 4
Step-by-step explanation:
PEMDAS or BODMAS
Help pls appreciate it pls
Answer: D.
Step-by-step explanation:
If we know that 1 side equal along with 1 angle is equal to the other triangles angle and side. Than only one answer really stands out (at least to me) if that makes any sense
Hope this helps
:)
Complete the equations below. 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths}\div 2 hundredths÷2start text, space, h, u, n, d, r, e, d, t, h, s, end text, divided by, 2 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths} hundredths start text, space, h, u, n, d, r, e, d, t, h, s, end text 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals
Answer:
[tex]1.86 \div 2 = 0.93[/tex]
Step-by-step explanation:
The correct form of the question is:
Complete the equations below.
[tex]1.86 \div 2 =[/tex]
Required
Solve
Start from left to right
[tex]1 \div 2 = ??[/tex] --- this will give a fraction.
So, we append the next digit
[tex]1.8 \div 2 = 0.9[/tex]
Next:
[tex]0.06 \div 2 = 0.03[/tex]
Bring the results together:
[tex]1.86 \div 2 = 0.9+ 0.03[/tex]
[tex]1.86 \div 2 = 0.93[/tex]
Solve for the triangle: ABC
A: 90 degrees
B: 6 feet
C: 10 feet
The midpoint of AB is M(1,1). If the coordinates of A are (3, 3), what are the coordinates of B?
Answer:
The answer in (-1,-1) because it goes down by x-2 and y-2
Find the slope of (3,-24)(19,-48)
Answer:
-3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
= (-48- -24)/(19 -3)
= (-48+24)/(19-3)
= -24/16
= -3/2
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]
Substitute into slope formula:
[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]
Can someone help me with this math homework please!
What is the slope of a line that is perpendicular to the line: -4x + 6y = -1 ?
A. -3/2
B. -2/3
C. 1/4
D. 3/2
A ball is dropped from a height of 9 feet and allowed to bounce. Each time the ball bounces, it reaches a height that is23the height of the previous bounce. How many times will the ball be exactly 3 feet above the ground?
I'm assuming you meant to say "it reaches a height that is 2/3 the height of the previous bounce".
We have a geometric sequence with a = 9 as the first term and r = 2/3 as the common ratio.
The nth term is a*(r)^(n-1) = 9*(2/3)^(n-1)
Set this equal to 3 and solve for n. You'll need logs to isolate the exponent.
9*(2/3)^(n-1) = 3
(2/3)^(n-1) = 3/9
(2/3)^(n-1) = 1/3
log[ (2/3)^(n-1) ] = log(1/3)
(n-1)*log(2/3) = log(1/3)
(n-1)*(-0.17609) = -0.47712
n-1 = (-0.47712)/(-0.17609)
n-1 = 2.7095235
n = 2.7095235+1
n = 3.7095235
Unfortunately we don't get a whole number. We can see that the terms of the sequence are:
9, 6, 4, 2.667
Each term is found by multiplying 2/3 by the previous term.
We don't land exactly on "3". The closest we get is 2.667 approximately.
So to answer the question, there is no way to get to exactly 3 feet above the ground based on a whole number of bounces.
Simplify. 1224√
THIS IS A KEYSTONE ALGEBRA THING LOL
Answer:
6[tex]\sqrt{34}[/tex]
Step-by-step explanation:
[tex]\sqrt{1224}\\[/tex] = [tex]\sqrt{36*34}[/tex] = 6[tex]\sqrt{34}[/tex]
Evaluate 4x-2 when x = 5.
A. 18
B. 12
C. 43
O D. 22
Answer:
A: 18
Step-by-step explanation:
1. 4(5) - 2
2. 20 - 2
3. 18
Will give brainliest to the first person who answers
Answer:
z =86
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior angles
z + z-39 = z+47
2z-39 = z+47
Subtract z from each side
z-39 = 47
Add 39 from each side
z = 47+39
z =86
The given information is,
To find the required value of z.
Property we use,
The exterior angle of a triangle is the sum of the opposite interior angles.
Now we can get the value of z,
→ z + z-39 = z + 47
→ 2z-39 = z + 47
→ 2z -z = 47 + 39
→ z = 47 + 39
→ [z = 86]
Thus, the required value of z is 86.
please help. i need this done today
Answer:
herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final
solve for x. round to the nearest tenth of a degree, if necessary.
x=30°
Answer:
Cos x°=adjacent/hypotenuse
Cos x°=45/52
x°=Cos-¹(45/52)
x°=30°
Can someone help me with this math homework please!
Answer:
negative
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 50
y2 = 44
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 44 - 50 ) / ( 1 - 0 )
= - 6 / 1
= - 6
- 6 is a negative number.
So, the slope is negative.
HELP QUICK ILL GIVE BRAINLIEST
Answer:
A=35 degrees, B=55 degrees, C=110 degrees
Step-by-step explanation:
The 35 degree given angle is vertical angles with A, so they are congruent
The sum of angles in a triangle is 180, and we already have 2 angles (35 and 90) so subtract those and you get 55
angle c and the other given angle (70 degrees) are supplementary so subract 70 from 180
Patricia has $34,000 to invest. She invests some at 17% and the balance at 20%. Her total annual interest income is $6245. Find the amount invested at each rate
Answer:
she invest $18,500 at the 17% rate and $15,500 at the 20% rate.
Step-by-step explanation:
Suppose that you invest some quantity A to an invest rate of x%
At the end, the amount you will have is given by:
Amount = A + A*(x%/100%)
Where:
A*(x%/100%) is the interest income
So, here she initially has $34,000
And she invest some quantity X to a 17% and a quantity Y to 20%
Then we have:
X + Y = $34,000
And we know that her total anual income is $6245
X*(17%/100%) + Y*(20%/100%) = $6245
Then we have a system of two equations:
X + Y = $34,000
X*(17%/100%) + Y*(20%/100%) = $6245
First we can rewrite the second one to a more simpler form:
X*(0.17) + Y*(0.20) = $6245
Now we can isolate one of the variables in the first equation to get:
X = $34,000 - Y
Now we can replace that in the other equation to get:
( $34,000 - Y)*0.17 + Y*0.20 = $6245
Now we can solve this for Y:
$34,000*0.17 + Y*(0.20 - 0.17) = $6245
$5,780+ Y*0.03 = $6245
Y*0.03 = $6245 - $5,780 = $465
Y = $465/0.03 = $15,500
And X = $34,000 - Y = $34,000 - $15,500 = $18,500
So she invest $18,500 at the 17% rate and $15,500 at the 20% rate.