South would be straight down (leg 1 of the triangle) and east would be right from that point (leg 2 of the triangle). Therefore, we are looking for the hypotenuse of the triangle.
Pythagorean Theorem: a^2 + b^2 = c^2
6^2 + 5^2 = c^2
36 + 25 = c^2
61 = c^2
c = sqrt(61)
c = 7.8 miles
Hope this helps!
A number added by 7 is the same as that
number times four minus eleven.
Translate into an equation
Answer:
[tex]x+7=4x-11[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
A number added by 7 is the same as that number times four minus eleven.
A number added by 7 ⇒ [tex]x+7[/tex]
Is the same as ⇒ [tex]x+7=[/tex]
The number times four ⇒ [tex]x+7=4x[/tex]
Minus eleven ⇒ [tex]x+7=4x-11[/tex]
I hope this helps!
What is the solution of the system of equations?
y = –3x + 7
y = 2x – 8
Answer:
(3,-2)
Step-by-step explanation:
The easiest way to solve this is to realize that in both equations, the ys must have the same value. So the right side of each equation can be equal.
-3x + 7 = 2x - 8 Add 8 to both sides
-3x + 7 + 8 = 2x Combine
-3x + 15 = 2x Add 3x to both sides
15 = 2x + 3x Combine and exchange sides
5x = 15 Divide by 5
x = 15/5
x = 3
Use y = 2x - 8 to solve for y
y = 2(3) = 8
y = 6 - 8
y = - 2
solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]
Answer:
x = 2 ±sqrt( 97)
Step-by-step explanation:
log10(x^2 -4x+7) =2
Raise each side to the base 10
10 ^ log10(x^2 -4x+7) =10^2
x^2 -4x +7 = 100
Subtract 7 from each side
x^2 -4x+7-7 = 100-7
x^2 -4x = 93
Complete the square
-4/2 = -2 (-2)^2 = 4
Add 4 to each side
x^2 -4x+4 = 93+4
(x-2)^2 = 97
Take the square root of each side
sqrt((x-2)^2 )=±sqrt( 97)
x-2 = ±sqrt( 97)
Add 2 to each side
x = 2 ±sqrt( 97)
. If a = 120°, find the measure of angles b, c and d.
Explain your reasoning.
Please help!!!!!!!!!!
Answer:
b) 7 (1, 2,3,5,7,11,13)
c) 0
d) 5
e) 8
What is the domain of the function shown below?
[tex]y = log_{3}(x + 2) [/tex]
A. All real numbers greater than -2
B. All real numbers less than 2
C. All real numbers
D. All real numbers greater than 0
Answer:
A
Step-by-step explanation:
A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.
On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non se
answered correctly and 5 points for each of the 6 short response questions she answered correctly
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: brainly.com/question/16397188
[tex]\sqrt[3]{x+1} =2x+2[/tex]
describe the rule that describes the relationship between the numbers in the top row (x) and the bottom row (y) in the following table
Answer:
y(x) = 2x+3
Step-by-step explanation:
the rule is y(x) = 2x+3
A shopkeeper fixed the marked price of his radio to make a profit of 30 %. Allowing 15 % discount on the marked price, the radio was sold. What percent profit did he make?
Answer:
10.5 %
Step-by-step explanation:
Here .
let the Cost Price be 'x'
the..
by the question..
the marked price was fixed to make 30% profit
then..
the marked price will be
x+ 30% of x
= x + 30/100 × x
=x+ 0.3x
=1.3x
soo .. the marked price is 1.3x
now.. after allowing 15% discount..
the selling price will be
1.3x - 15% of 1.3x
= 1.3x - 0.195x
= 1.105x
thank you...
plzz mark me brainliest now
now..
profit made = 1.105x-x
= 0.105x
soo .
in percentage..
profit percent = profit/cp × 100%
= 0.105x/x × 100%
= 10.5 %
Find the measures of
Answer:
Step-by-step explanation:
Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.
From the picture attached,
m(∠A) = [tex]\frac{1}{2}m(\text{arc BD})[/tex]
= [tex]\frac{1}{2}[m(\text{BC})+m(\text{CD}][/tex]
= [tex]\frac{1}{2}[55^{\circ}+145^{\circ}][/tex]
= 100°
m(∠C) = [tex]\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})][/tex]
= [tex]\frac{1}{2}(360^{\circ}-200^{\circ})[/tex]
= 80°
m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]
115° + m(∠D) = 180°
m(∠D) = 65°
m(arc AC) = 2[m(∠D)]
m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]
m(arc AB) + 55° = 130°
m(arc AB) = 75°
m(arc ADC) = 2(m∠B)
m(arc AD) + m(arc DC) = 2(115°)
m(arc AD) + 145° = 230°
m(arc AD) = 85°
please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!
Answer:
Just use a calculator and wite the square root value in it
Step-by-step explanation:
Atempt this method with all options at last u will have ur answer
Hi~! can someone help me with this~?
It costs 3 bowls and a jug 13.70, the jug costs $4.10 more that the bowl, how much does the jug cost-?
Thank u~!
Answer:
$6.50
Step-by-step explanation:
Let the cost of a bowl and a jug be $b and $j respectively.
3b +j= 13.70 -----(1)
j= b +4.10 -----(2)
Substitute (2) into (1):
3b +b +4.10= 13.70
4b +4.10= 13.70 (simplify)
4b= 13.70 -4.10 (-4.10 on both sides)
4b= 9.60
b= 9.60 ÷4 (÷4 on both sides)
b= 2.40
Substitute b= 2.40 into (2):
j= 2.40 +4.10
j= 6.50
Thus, the jug costs $6.50.
Find the distance between the two points.
(5,5)
(2.2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]{18}[/tex]
Step-by-step explanation:
[tex] \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } [/tex]
[tex] = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex] = \sqrt{9 + 9} [/tex]
[tex] = \sqrt{18}[/tex]
Answered by GAUTHMATH
How do I do question 2?
Answer:
518
Step-by-step explanation:
solution:
=8^2^×1^+1+6^2^×1^-1
=8^3+6^1
=8^3+6
=8×8×8+6
=512+6
=518
My hw says, "suppose E has a coordinate of -1 And EG= 7" what is the possible coordinate of G?
Answer:
-8,6
Step-by-step explanation:
from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6
Answer: Wouldn’t the possible coordinate of G be 8?
Step-by-step explanation:
If E is -1 and we know that EG combined is 7, we can deduce that you have to have an 8 to get 7 because 8 + -1 = 7 or E + G = EG
If f(x) = x2 + 1, what is the ordered pair for x =
-4.?
Answer:
(-4,17)
Step-by-step explanation:
y = f(x)
f(-4) = (-4)^2+1 = 17
y-coordinate = 17
Answer:
D). (-4, 17)
Step-by-step explanation:
Plug in -4 for x.
[tex]f(-4)=(-4)^2}+1[/tex]
Solve.
[tex]f(-4)=16+1[/tex]
[tex]f(-4)=17[/tex]
We already know that the x-coordinate is -4. (-4, y)
f(x) stands for y, so y=17.
(-4, 17)
I hope this helps!
The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
➯Question:The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.Answer:Both numbers are 25 and 400.Step By Step Explanation:Given that:The product of two numbers is 10000.One number is 16 times the other number.To Find:Both numbers?Solution:Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.According to the Question :[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]
Hence,1st number = n = 252nd number = 16n = 16 × 25 = 400∴ Hence, both numbers are 25 and 400.▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:
(25, 400) or (-25, - 400)Step-by-step explanation:
Let the numbers be x and y.
We have:
y = 16xxy = 10000Substitute y and solve for x:
x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25Then y is:
y = ± 25*16 = ± 400The numbers are:
25 and 400 or -25 and - 400What is the range of the function y = x² + 1?
Answer
[ 1 by 2, -1 by 2 ]
Step-by-step explanation:
https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg
Answer:
range { 1, ∞ }
Step-by-step explanation:
y = x² + 1
is a parabola with its vertex at (0, 1)
The range is { 1, ∞ }
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answer:
y ≤ (-2)x+2
y < (1/3)x + 2
Step-by-step explanation:
First, we'll want to figure out the lines that are intersecting.
To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.
For the line that has points at (1,0) and (2, -2), our slope is
(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)
= (-2)/1
= -2
Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get
-2 = (-2)(2) + b
-2 = -4 + b
add 4 to both sides to isolate b
b =2
Our equation is thus y = (-2)x+2
For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3
Then, our equation is y=(1/3)x+b
plug (-3,1) in
1 = (1/3)(-3) + b
1 = -1 + b
add 1 to both sides to isolate the b
b =2
Our equation is thus y=(1/3)x + 2
Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.
For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)
For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2
elizas backpack weights 18 7/8 pounds with her math book in it. without her math book, her backpack weighs 14 7/9 pounds
I'm assuming your trying to find the weight of the math book so here it is:
Answer:
4 5/36
Step-by-step explanation:
You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.
WILL BE MARKED BRAINLIEST!!!!!HHHHHeeeelllllllppppppp!!!!!!!!!!!!!!!!!!! URGENT!!!!!!!
Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 1 5 44
Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.
Answer:
Closed side up : 5/50
1/50 = open side up
44/50 = landing side
experimental probablity Formula:
no. of times event was conducted/ Total no. of times experiment was conducted.
Let's first start with open side up.
No. times it was conducted was 1.
Total no times experiment conducted: 50 times
1/50 = open side up
Closed side up
No. times it was conducted was 5
Total no times experiment conducted: 50 times
5/50
The same for landing on side :
44/50
Have a wonderful day!!
The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is given as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For the given case, if we name the events for results of tossing of paper cup as:
A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sidesThen, as it is given that:
Number of times paper cup was tossed = 50
Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44Thus, their experimental probabilities are obtained as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
Learn more about experimental probability here:
https://brainly.com/question/2547434
Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2
Answer:
a
Step-by-step explanation:
cause if 72 book were divided by 18 kids they would hav all gotten 4 books each
so a is the answer cause it gives youthe answer 4
Answer: a. 8/3 divided by 6/9
Step-by-step explanation: I got this question on my test
SOMEONE PLEASE HELP ME OUT THIS IS DUE In 20 MINUTES (PICTURE)
How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.
If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
due to not much information given and the way you ask the question I would definitely say no
Answer:
Yes you would have enough!
Step-by-step explanation:
Simply multiply .50 by 37 and that gives you 18.5!
HELLLPPPPPPPPP!!!!!!
Fill in the table to explore the graph.
Miles Walked by Alonso
" Time (hours) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Miles Walked
6
V
16
12
Miles
8
4
X
1
4
3
Time (hours)
time
Answer:
Step-by-step explanation:
so you have divide ok by my and divide 5x1
Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?
Answer:
B' (2, - 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
B (- 5, 2 ) → B' (2, - 5 )
Please help! Geometry 9th grade
Answer:
69.3
Step-by-step explanation:
if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3
Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's height
pls help
Answer:
8% out of 175 = ( 8 ÷ 100 ) × 175 = 14
175 cm - 14 = 161 cm
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