Answers
Answer;
10
Step-by-step explanation:
from the question we observed that the shape is a right angled triangle.
and according to Pythagoras theorem, In a right angled triangle the square of the hypothenus is equal to the square of the sum of the other two side
hypothenus = 10
10^2= 8^ + X^2
100= 64 +X^2
X^2 = 100-64
X^2 = 36
X = √36
X= 6
Related Questions
Need help please answer ASAP!
Answers
Answer:
46. (3) 29
47. (1) y = -4x + 3
48. (3) 3
49. (3) -1/2
50. (4) 25x - 75
Step-by-step explanation:
Question 46
Let red marbles be 2x + 3 and black marbles be x2x + 3 + x = 423x = 39x = 13No. of red = 2(13) + 3 = 29 marbles(3) 29Question 47
Parallel to a line means the slope is the same (1) y = -4x + 3Question 48
For the expression to be undefined, the denominator has to be 0x - 3 = 0x = 3(3) 3Question 49
Slope = -4 - 1 / 4 + 6Slope = -5/10Slope = -1/2(3) -1/2Question 50
Total = 25xLeft 3 boxes at home = -3x = -3(25) = -75(4) 25x - 75Does anybody know the other two? QSRT is a Rectangle find the lengths of the following sides
Answers
Answer:
/TS/=12cm
/QP/=
/QR/²=16²+12²
/QR/²=256+144
/QR/²=400
/QR/=√400
/QR/=20
/QP/=20/2=10
let /PT/ be x
hyp²=opp²+adj²
16²=20²+x²
x²=400-256
x²=144
x=√144
x=12.
Which of the following functions is represented in the graph shown?
f(x) = −2cos(2x) + 1
f(x) = −4cos(2x) − 1
f(x) = −2cos(x) − 1
f(x) = −4cos(x) + 1
Answers
Answer:
[tex]f(x)=-2\cos(2x)+1[/tex]
Step-by-step explanation:
Recall the general cosine equation
Function: [tex]f(x)=a\cos(bx+c)+d[/tex]Amplitude: [tex]|a|[/tex]Period: [tex]\frac{2\pi}{|b|}[/tex]Vertical Shift: [tex]-\frac{c}{b}[/tex]Midline: [tex]y=d[/tex]Identify amplitude
[tex]\text{Amplitude}=\frac{\text{Max-Min}}{2}=\frac{3-(-1)}{2}=\frac{4}{2}=2[/tex]
Identify period and solve for b
[tex]\frac{3\pi}{2}-\frac{\pi}{2}=\pi\\ \\\frac{2\pi}{|b|}=\pi\\ \\2\pi=b\pi\\\\2=b[/tex]
Identify midline
[tex]y=d=1[/tex]
Final Equation
[tex]f(x)=-2\cos(2x)+1[/tex]
Also, the reason why [tex]a=-2[/tex] is because a cosine function starts at its maximum, but since it starts at its minimum, the value of [tex]a[/tex] must be negative and causes the wave to flip about the midline.
What is the volume of this aquarium?
Answers
Answer:
9000 in³
Step-by-step explanation:
Small cube:
Volume = length x width x height
= 10 x 10 x 10 = 1000 in³
Big cube:
width (front) = 20
length (side) = 10 + 10 = 20
height (back) = 10 + 10 = 20
V = 20 x 20 x 20 = 8000 in³
Total volume: 1000 + 8000 = 9000 in³
Jamila's cake recipe calls for 4 cups of flour.
She cuts the recipe in half. How much flour does es
she use?
Answers
Hope it helped
To join the game club, you must pay $7 a month plus
$3 per game (x) that you download. Write an
expression to show the total cost per month to be a
member of the game club.
Answers
Answer: Total cost/month = 7 + 3x
Step-by-step explanation:
This is only the total cost per month that is why it is only 7 and 3x since the number of downloaded games is not given.
I'm not sure about my answer but I hope that it helps.
students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.
Answers
we know that
The formula for combinations is
[tex]C=n!/[(n-r)!*r!][/tex]
where
[tex]n[/tex] is the total number of objects you choose from
[tex]r[/tex] is the number that you choose to arrange
in this problem
[tex]n=15[/tex] students
[tex]r=4[/tex] students
[tex]C=15!/[(15-4)!*4!][/tex] → [tex]C=15!/[11!*4!][/tex] → [tex](15*14*13*12*11!)/(11!*4*3*2*1)[/tex]
[tex]C=(15*14*13*12)/(24)[/tex] → [tex]C=1365[/tex]
the answer is
1,365
Which is the next step in the following construction of an equilateral triangle?
circle with center P and point A along circles edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C
Answers
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.
A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
Find the zeroes of the polynomial 100x^2 - 81
Answers
Answer:
x = ±0.9Step-by-step explanation:
The algebraic identity to be used here :
a² - b² = (a + b)(a - b)We know that :
100x² = (10x)²81 = 9²Therefore,
100x² - 81 (10x + 9)(10x - 9)The zeros are :
10x + 9 = 0 ⇒ 10x = -9 ⇒ x = -9/10 ⇒ x = -0.910x - 9 = 0 ⇒ 10x = 9 ⇒ x = 9/10 ⇒ x = 0.9Answer:
[tex]x=-\dfrac{9}{10} \quad x=\dfrac{9}{10}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}100x^2-81 & =(10^2)x^2-9^2\\ & = (10x)^2-9^2\end{aligned}[/tex]
[tex]\textsf{Difference of Two Squares Formula}: \quad a^2-b^2=\left(a+b\right)\left(a-b\right)[/tex]
[tex]\implies a=10x \: \textsf{ and } \: b=9[/tex]
[tex]\implies 100x^2-81=(10x+9)(10x-9)[/tex]
[tex]\begin{aligned}\textsf{To find the zeros}: \quad 100x^2-81 & = 0\\\\\implies (10x+9)(10x-9) & =0\\\implies 10x+9 & =0 \implies x=-\dfrac{9}{10}\\\implies 10x-9 & =0 \implies x=\dfrac{9}{10}\end{aligned}[/tex]
She would also like to tour genoa as well, which would cost her €60.85. if the conversion rate of us dollars to euros at the time of kari’s visit is 1:0.6859, how will this affect her budget? round all dollar values to the nearest cent. a. kari can see genoa and have $60.33 left in her budget. b. kari can see genoa and have $41.38 left in her budget. c. kari has almost exactly enough left in her budget to see genoa. d. kari cannot afford to see genoa, because it would put her $84.48 over budget.
Answers
The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.
How to illustrate the budget?From the information given, it should be noted that a trip to Genoa will cost her €60.85.
This will be converted to dollars which will be:
= 60.85/0.6859
= 88.72
Therefore, out of the $585 budget, only $88.72 is used.
Learn more about budget on:
https://brainly.com/question/6663636
#SPJ4
look at the image below lol
Answers
Answer:
1.7.
Step-by-step explanation:
2x^3 + 9x^2 - 2x + 8 = 40
Substituting values for x in the range 1 to 2:
when x = (1.1):
f(1.1) = 2(1.1)^3 + 9(1.1)^2 - 2(1.1) + 8 = 19.32.
x = 1.3:
f(1.3) = 25.004
F(1.5) = 32
F(1.6) = 36.032
F(1.7) = 40.436 which is just greater than 40.
So the root is between 1.6 and 1.7.
f(1.65) = 38.19
Therefore the root is > 1.65 and < 1.7
and to 1 DP it is 1.7.
Roberto farms a tract of land that typically yields 147.4 kilograms of peas. A fertilizer manufacturer claims that its fertilizer will produce a 25% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth.
Answers
Answer:
184.25 kg
Step-by-step explanation:
25% more is found by adding 25% of the original value to the original value. It is equivalent to multiplying the original value by (1 +25%) = 1.25.
__
25% of Roberto's yield is ...
147.4 kg × 0.25 = 36.85 kg
If Roberto's yield increases by that amount, it will be ...
147.4 kg + 36.85 kg = 184.25 kg
Roberto should expect a yield of 184.25 kg.
Answer:
184.25
Step-by-step explanation:
2. Solve the following system of equations.
f(x) = 2x^2 – 5x– 7
g(x) = -4x^2+16
O (-1.2,17.88) and (-1.5, 17)
O (2.42,-7.4) and (-1.58, 5.9)
(-1.5, 17) and (3.7, 1788)
O (2.4,- 44) and (3.7, 17.88)
Answers
Answer:
Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4
Step-by-step explanation:i know
Answer:
(2.42,-7.4) and (-1.58, 5.9)
Explanation:
f(x) = 2x² – 5x– 7g(x) = -4x² + 16Solve algebraically:
⇒ f(x) = g(x)
⇒ 2x² – 5x– 7 = -4x² + 16
⇒ 2x² - 5x - 7 + 4x² - 16 = 0
⇒ 6x² -5x -23 = 0
Now use the quadratic function: [tex]\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}[/tex]Identify : a = 6, b = -5, c = -23
Solving Step Wise:[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]
Solve for y : 2(2.42)² - 5(2.42) -7 and 2(-1.58)² - 5(-1.58) - 7 = -7.4, 5.9
Coordinates: (2.42,-7.4) and (-1.58, 5.9)
If X=3 and y= -2, find xy + 2y.
-2
-9
-10
-1
Answers
Answer:
-10 is the answer
Step-by-step explanation:
[tex]xy + 2y \\ putting \: the \: value \: of \: x \: and \: y \\ 3 \times ( - 2) + 2 \times ( -2 ) \\ - 6 - 4 \\ = - 10[/tex]
I need an answer to this:
Answers
Answer:
It will decrease cause there will be more deer. Deer eat blackberry bushes
Step-by-step explanation:
Answer:
It will decrease because there will be more deer
Step-by-step explanation:
Because of the lack of wolves, the deer population would increase. Since it would increase the amount of deer there would be less of the deer's food sources.
o Watch help video
A town has a population of 10000 and grows at 5% every year. What will be the
population after 5 years, to the nearest whole number?
Answers
Answer:
answers
Step-by-step explanation:
125000 Submit Answer.
Answer:
12763
Step-by-step explanation:
Based on the given conditions, formulate:
10000 x ( 5%+1)⁵
Evaluate the equation/expression: 12762.81563
Find the closest integer: 12763
Select the correct answer. if you roll a single six-sided die, what is the probability of rolling an odd number? a. b. c. d. 3
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
P(odd number)= [tex]\frac{3}{6}[/tex]
=[tex]\frac{1}{2}[/tex]
What is the value of s to the nearest whole number? 10 12 13 14
Answers
The value of s to the nearest whole number is 14. The correct option is the last option 14
TrigonometryFrom the question, we are to determine the value of s
Using the laws of cosines
a² = b² + c² -2bc Cos A
Then,
s² = 8² + 9² -2(8)(9) cos111°
s² = 64 + 81 - 144 cos111°
s² = 145 - (-51.605)
s² = 145 + 51.605
s² = √196.605
s = 14.0216
s ≅ 14
Hence, the value of s to the nearest whole number is 14. The correct option is the last option 14
Learn more on Trigonometry here: https://brainly.com/question/3897392
#SPJ1
If alpha and beta are zeroes of polynomial fx = 4x2-5x-1. Pls answer full questiob
Answers
Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.
Two triangles, A B C and C B D, with segment C D connecting vertex C with a point D on side A C. Angle C D B is a right angle. Segment C B is 23.2, segment B D is 14.6 and segment C A is 28.6.
Group of answer choices
36.83
22.20
18.03
7.20
Answers
Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.
What is the length of segment AD?The triangle ABC is a right angled triangle with segment AB being the hypothenuse.
We can therefore find this length using the Pythagoras Rule:
Hypothenuse ² = a² + b²
Hypothenuse ² = 28.6² + 23.2²
Hypothenuse ² = 1,356.20
Hypothenuse = √1,356.20
= 36.83
Length of AD:
= AB - BD
= 36.83 - 14.60
= 22.2
Find out more on the Pythagorean theorem at https://brainly.com/question/343682.
#SPJ1
what is the value of the underlined digit
9,603
Answers
Answer:nine thousand six hundred and three
Step-by-step explanation:
Answer:
nine thousand six hundred and three
Step-by-step explanation:
my watch gains 10 seconds every hour if it is set right on Monday at 10:30 a.m. what will it show them following Monday at 10:30 a.m.
Answers
Answer: 10:58 a.m.
Step-by-step explanation:
To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.
Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.
To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.
Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.
the units of a two-digit numeral is 5 more then the tens digit. the number is three times the sum of its digits. find the numeral
Answers
Answer:
27
Step-by-step explanation:
Let x = ten's digit
Let y = units' digit
Given: the units of a two-digit numeral means
that our final answer will be a 2 digit number (xy)
Given: 5 more than the tens digit means
y is 5 more than x (y = x + 5)
Given: the number is three times the sum of its digits.
xy is 3 times x + y
A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit
y = x + 5 and 10x + y = 3(x + y)
x - y = -5
7x - 2y = 0
Multiply the first equation by -2:
-2x + 2y = 10
7x - 2y = 0
Add the equations to get 5x = 10
So, x = 2 and y = x + 5 = 7
Reminder:
Let x = ten's digit
Let y = units' digit
The number is 27
Factor using the greatest common factor.
6x^4 + 15x^2 + 24x
show work.
Answers
Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]
Step-by-step explanation:
[tex]6x^{4} + 15x^{2} + 24x[/tex]
↓
[tex]3x(2x^{3} + 5x + 8)[/tex]
The factored expression is 3x(2x³ + 5x + 8).
To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.
Step 1: Find the GCF of the coefficients (numbers).
The GCF of 6, 15, and 24 is 3.
Step 2: Find the GCF of the variables (x terms).
The GCF of x⁴, x², and x is x.
Step 3: Combine the GCF of the coefficients and variables.
The GCF of the entire expression is 3x.
Now, factor out 3x from each term:
3x * (2x³ + 5x + 8)
The factored expression is 3x(2x³ + 5x + 8).
Learn more about factor here
https://brainly.com/question/29093771
#SPJ2
Solve The equation 1/4t-6=-4
t=
Answers
Answer:
t = 8Step-by-step explanation:
Solve The equation 1/4t-6=-4
1/4t - 6 = -4
1/4t = 2
t = 2 * 4
t = 8
-------------------
check
1/4 * 8 - 6 = -4
2 - 6 = -4
-4 = -4
the answer is good
A store buys 17 sweaters for $68 and sells them for $561. How much profit does the store make per sweater?
Answers
He makes a profit in total of $8381
The store makes a profit of $29 per sweater.
Here, we have to calculate the profit per sweater, we need to find the difference between the selling price and the cost price (purchase price) of each sweater.
Given:
Number of sweaters bought = 17
Cost of buying 17 sweaters = $68
Selling price of 17 sweaters = $561
Profit per sweater = Selling price per sweater - Cost price per sweater
First, calculate the cost price per sweater:
Cost price per sweater = Total cost / Number of sweaters
Cost price per sweater = $68 / 17
Cost price per sweater = $4.
Now, calculate the profit per sweater:
Profit per sweater = Selling price per sweater - Cost price per sweater
Profit per sweater = $561 / 17 - $4
Profit per sweater = $33 - $4
Profit per sweater = $29.
The store makes a profit of $29 per sweater.
Learn more about profit here
brainly.com/question/19118474
#SPJ3
wha is 10% of 695,000
Answers
Answer:
[tex]69500[/tex]
Step-by-step explanation:
[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]
PLEASE HELP ASAP TYSM
Answers
Answer:
306=192-361xj.
Hope this helps!
BRAINLIEST!!
PLS HELP
Answers
Answer:
H and M
or
K and F
Step-by-step explanation:
Complementary angles = 90 degrees
Corners of a rectangle are 90 degrees
Pick the two angles that make up the 90 degree angle
Which biconditional statement is NOT true?
Answers
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.
What is a Biconditional Statement?A biconditional statement is one of the logical statements that contain the words "if and only if."
A biconditional statement is true for p ⇔ q provided that both p and q have an exact truth value, and it is false if otherwise.
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides. For a triangle to be equilateral, it is supposed to have three equal angles and three equal sides.
Learn more about biconditional statements here:
https://brainly.com/question/24528571
#SPJ1
Answer:
A quadrilateral is rectangle if and only if it has at least two right angles
Step-by-step explanation:
IMAGINE mATH!
