Answer:
22x-4
Step-by-step explanation:
2x(3+8)−4
Simplify 3+8 to 11.
2x×11−4
Simplify 2x times 11 to 22x.
22x−4
Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle is 10 square units, show that x satisfy the equation x2 + 2x - 23 = 0 Solve above equation and find the value of x to the nearest whole number and calculate the perpendicular height of the triangle. (Take V6 = 2.45)
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, in our case we know this is 10 :
(x+3)(x-1)/2 = 10
(x+3)(x-1) = 20
x² - x + 3x - 3 = 20
x² + 2x - 23 = 0
that is exactly the provided equation. so, yes, x satisfies it.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -23
x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =
= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =
= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =
= -1 ± 2×sqrt(6)
x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4
or using sqrt(6) ≈ 2.45
= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4
x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6
or using sqrt(6) ≈ 2.45
= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6
x2 would give us negative lengths for the triangle, which does not make sense.
so, x = 4 is our solution.
and that makes the height x-1 = 4-1 = 3 units.
Need help please answer ASAP!
Perimeter of larger sail
10+24+2660ftNow
Let shorter sail's Perimeter be x
x/6=60/10x/6=6x=36#2
Let they be 2x and 7x
2x+7x=1809x=180x=20Smaller angle
20(2)=40Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$
The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.
How do you find the quadratics
Answer:
Put all terms to the side of the equals side, and make sure there are none on the other side. That would be unbalanced if there were terms on the opposite side.
Factor out the problem.
Set each factor of the problem equal to zero.
Solve each new equation.
Check to see if it makes sense by putting your new equation into the original equation.
1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.
Answer:
c
Step-by-step explanation:
The multiplicative inverse of number 0 does not exist.
When taking the multiplicative inverse of 0, we get :
[tex]\frac{1}{0}[/tex]This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not existCalculate the value of p in the diagram below
Answer:
40.5
Step-by-step explanation:
(n-2)*180
(7-2)*180=5*180=900
10p+135+149+121+90=900
10p=-495+900=405
p=40.5
What is the slope of the line represented by the following equation? 4x−y+3=0
The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
What is the slope of a line?The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.
The standard form of the equation of a line can be given as,
y=mx+c
Here, c is the y intercept of the line and m is the slope of the line.
The equation of the line is given as,
4x-y+3=0
Rewrite the equation in the standard form as,
4x-y+3=0
4x+3=y
y=4x+3
Compare it with standard equation we get,
m=4
c=3
Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
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When Tekai purchased groceries, he paid
8.5% in sales tax, which amounted to $12.40.
What was full amount, including tax, that
Tekai paid for the groceries?
Answer:
I think the full amount was $a18.50
Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44
9 18 27 ?
A: 38
B: 36
C: 35
D: 37
Answer:
B
Step-by-step explanation:
You are going to add 9 to 27 because you are counting by nines on the bottom.
How do I turn this 10(0j + 40 + 4j) into a verbal expression?
I NEED HELP!!!!1
Answer:
See below
Step-by-step explanation:
You could say "10 times the sum of 0j, 40, and 4j" because that is exactly what you are doing in the algebraic expression.
In how many ways can 7 people be seated in a row of chairs if two of the people, Wilma and Paul, refuse to sit next to each other
Answer:
let X be the number of ways they can be seated without condition,
let M the the number of ways they can be seated if the two people must sit together,
let N be the number of ways they can be seated if the two must not sit together.
X=7! =5040
M= 6!× 2!=1440
M+N=X
then N=X–M=5040–1440=3600ways
HELP!!
Find the lateral area of the pyramid to the nearest whole number
85 m2
77 m2
47 m2
51 m2
literally ur the best human if u answer this :)
Answer:
The area of the pyramid is 51 m²
Answer:
The answer is 51m
Step-by-step explanation:
is 2.06532 rational or irrational?
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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Of 400 randomly selected people in the city of lyon, france, 60 people had the first name hugo.
which of these does not represent inferential statistics?
a. 15% of the people who live in france have the first name hugo.
b. 15% of the people who live in europe have the first name hugo.
c. 15% of the people surveyed have the first name hugo.
d. 15% of the people who live in lyon have the first name hugo.
The statement in this problem that does not represent a inferential statistic is given by:
c. 15% of the people surveyed have the first name hugo.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).
In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.
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Find the value of 11 +22+33 + ... + 1100.
Answer:
sum of terms: 55550
Explanation:
[tex]\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})[/tex]
Here the number of terms:
1100 ÷ 11 = 100
Using the Formula:
[tex]\sf \dfrac{100}{2} (11+1100)[/tex]
[tex]\sf 55550[/tex]
I am in dire need. helpp
please answer this for me
Answer:
600 + 161 = 761
Step-by-step explanation:
599 + 162 = 600 + 161 = 761
verify the identity
sin^3 0 +cos^3 0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Answer:
See below for proof of identity.
Step-by-step explanation:
Since both terms of [tex]\sin^3\theta+\cos^3\theta[/tex] are perfect cubes, we can use the formula [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex] where [tex]a=\sin\theta[/tex] and [tex]b=\cos\theta[/tex]:
[tex]\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta[/tex]
Thus, the identity is proven.
Factor −4 out of −24a−44.
Answer:
6a+11
Step-by-step explanation:
-24a-44/-4
=
6a+11
have a wonderful day :))
Answer:
-4(6a + 11)
-Step-by-step explanation:
−24a − 44 if −4 is factored out than...
-4 times ____ = -24a
-4x = -24 → divided both sides by -4
-4x / -4 = -24 / -4 → x = 6
-4 times 6 = -24a
-4 times ____ = -44
-4x = -44 → divided both sides by -4
-4x / -4 = -44 / -4 → x = 11
-4 times 11 = -44
combine: -4 x 6a - 4 x 11
Solve this linear equation. Show all workings
[tex]~~~~~~3x^2 +2x -1 = 0\\\\\implies 3x^2 +3x -x -1 = 0\\\\\implies 3x(x+1) - (x+1)=0\\\\\implies (x+1)(3x-1) = 0\\\\\implies x = -1,~~ x = \dfrac 13[/tex]
A guest was on holiday before going to the wedding at 6 o’ clock. He had to travel 120km to get to the venue. He travelled at an average of 100km/h . Verify if He will reach the dance on time if he leaves at 16:40
He will reach the dance before time if he leaves at 16:40.
What is speed- distance formula?The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Given distance= 120 Km, speed= 100 km/h
For this speed,
time= distance/ speed
= 120/100
= 1.2 hours
If the guest leave at 4:40 p.m. then by the speed of 100 km/h he will reach the venue at 06:00 p.m.
Hence, he will reach before the time at wedding.
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Question 1
Which is the largest value?
Answer:
the third option 6 squareroot of 5 would be the largest value
Step-by-step explanation:
3 squareroot of 7 is also 63 squareroot
5 squareroot of 3 is also 75 squareroot
6 squareroot of 5 is also 180 squareroot
2 squareroot of 8 is also 32 squareroot
The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additional 25 degrees. What is the measure of the angle?
A. 205°
B. 215°
C. 155°
D. 25°
HELP!!
The measure of the angle is 205°. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
There are 4 quadrants and each quadrant has a measure of 90° angle.
The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.
90° + 90° = 180°
The arm has been in the third quadrant due to the additional 25° rotation.
180° + 25° = 205°
The measure of the angle is 205°.
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can somene answer this
Answer:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute
[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]
Subtract 121 from both sides to isolate B
[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]
Take the square root of both sides to isolate b
[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]
A 2.905x10 B 2.905x10 C 2.95x10
Answer:
a. 29.05 b. 29.05 c. 29.5
Ron made 16 out of 25 baskets from the foul line. Using this data, predict the
number of baskets he will make from the foul line if he shoots 200 times?
A 64
r B. 72
C. 92
D. 128
Answer:
D. 128
Step-by-step explanation:
16 out of 25 is a 64% ratio.
Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.
Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.
Knowing this the answer is D. 128.
Hope this helps. Brainliest would be appreciated.
Answer:
D. 128
Step-by-step explanation:
[tex]\frac{16}{25} =\frac{x}{200}[/tex]
cross multiply:
[tex]25x = 3200[/tex]
divide both sides by 25:
x = 128
Can someone please answer this, ill give you brainliest Would be very appreciated.
[tex]\bf Blue \ Color \ Line : y = x^2[/tex]
If you are going to make it open from downwards. The function should be negative : -(x)²If the graph moves 10 units downwards. : y = (x)² - 10If you are going to move the graph horizontally 2 units left. : y = (x+ 2)²When added all together:
[tex]\bf Black \ color \ Line: y=-\left(x+2\right)^{2}-10[/tex] = Final answer.
These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters. what is the height of cylinder b? h = cm
Answer:
Your answer is 11CM
Step-by-step explanation:
The height of cylinder b is 11 cm.
How to measure the volume of a cylinder?The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.
The formula for the volume of a cylinder is given by:
[tex]V = \pi.r^2.h[/tex]
Where:
V: volumeπ (Pi): 3r: radiush: heightIn this case, as the cylinders are congruent, both will have the same radius, thus:
[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]
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Nan wrote each letter in the word ILLINOIS on a separate slip of paper. She put
the slips in a bag. What is the probability of her drawing a slip that is labeled
with a vowel?
A 1/8
B. 218
C. 3/8
D. 4/8
E. 5/8
Answer:
D. 4/8
Step-by-step explanation:
To find probability, you simply divide what you are looking for over the total. In the word, ILLINOIS, you have 4 vowels, and 8 letters total, so the probability of finding a vowel would be 4/8.
Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
The y-intercept is the coordinate point where x = 0. For the log function;
f(x) = log(x - 5)
If y = 0
0 = log(x-5)
x - 5 = 10^0
x - 5 = 1
x = 6
Hence the x-intercept is at (6, 0)
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
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