Answer:
180m
Step-by-step explanation:
The figure shown in the picture is a right triangle.
We have two of it's sides and need to find the hypotenuse (the side in front of the right angle).
To find that we must use the Pythagorean theorem:
[tex]c^{2} = {a}^{2} + {b}^{2} [/tex]
Side a is 400m and side b is 300m.
Therefore:
[tex]c^{2} = {300}^{2} + {400}^{2} [/tex]
[tex]c = \sqrt{300 \times 300 + 400 \times 400} = 500[/tex]
Now that we know that side c is 500m we must just substract the distance between Marla and the dock with the lenght of the side to find the answer
500 - 320 = 180m
Answer:
She is 180m from the information Center
She walked 240m from the parking lot to the lake.
Step-by-step explanation:
I searched your question and found the key answers. below is my backup explanation, hope this helps! brainliest, please!
Need help pls respond asap!
Answer:
[tex]n\sqrt{5}[/tex]Step-by-step explanation:
The length of the legs is n and 2n.
The hypotenuse is:
[tex]PQ = \sqrt{n^2+(2n)^2} =\sqrt{5n^2} =n\sqrt{5}[/tex]Answer:
Step-by-step explanation:
3
How many radians is 30°?
Answer:
That would be 0.523599 radians.
Step-by-step explanation:
This is the formula I used:
30° × π/180 = 0.5236rad
Radians - π6
Approx. radians - 0.524
What is the correct answer NEED ANSWER ASAP
Answer:
12 burgers, 0 sub sandwiches or 7 burgers, 5 sandwiches
Step-by-step explanation
First, we need to form the equation. This will be 2.50x + 3.50y ≤ 30.
2.5x + 3.5y ≤ 30
Now I'll solve for x here, but you don't have to.
First I'll move 3.5y to the other side by subtracting that value from both sides.
2.5x ≤ -3.5y + 30
Next, divide by 2.5 to get just x on the left.
x ≤ -1.4y + 12
Now to substitute.
2.5(-1.4y + 12) + 3.5y ≤ 30
-3.5y + 30 + 3.5y ≤ 30
Wait a second...This creates... (canceling out -3.5y and 3.5y...)
30 ≤ 30
The two sides are the same! That means one solution has y being 0. 30/2.5 (as we already figured out) is 12. So one solution is (12, 0).
Solution 2 can be figured out with this. What is the LCM of 3.5 and 2.5? Here we really need to use 35 and 25.
First, to factorize.
25: 5 * 5
35: 5 * 7
A five in is common. So to get the LCM, we need to multiply 5 * 7 * 5 to get 175. However, since this is in TENTHS, it's actually 17.5 being the LCM between 3.5 and 2.5.
Since 7 * 2.5 = 17.5, as does 3.5 * 5, our other solution is (7, 5).
Mike has 25 toys. Lucy has 31 toys.
What number is equal to
Lucy's number of toys?
Answer:
31 - 25 = 6
Step-by-step explanation:
Have a good day! :)
if y varies inversely as the square of x and y= 7/48 when x=4 find y when x=3
Pls help in need
All appreciation
wish i can help i just dont got m cal on me
What the inverse of this question
Answer is
f(x) inverse = (1/5x)^1/3 +4
SOLVE & SHOW YOUR WORK !!!!
Answer:
x = 6
y = 5.5
Step-by-step explanation:
Since the shapes are similar:
A = E and
C = G
60+8x = 108 subtract 60 from both sides
8x = 48 divide both sides by 8
x = 6
8y - 3x = 62 we know x is 6
8y - 3*6 = 62
8y - 18 = 62 subtract 18 from both sides
8y = 44 divide both sides by 8
y = 5.5
Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measures of angle ECF.
Answer:
22 degrees
Step-by-step explanation:
Angles ABC and ECF are corresponding angles.
pls answer i have to get this done
Answer:
[tex]\huge\boxed{\times 2}[/tex]
Step-by-step explanation:
1 turned into 2, that means, it has been multiplied by 2.
1 × 2 = 2
3 turned into 6, that also means, it has been multiplied by 2.
3 × 2 = 6
So, both have been multiplied by 2.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer: x 2
The answer is "x 2". This is because, as we see, 1 is then turned into 2. This is because 1 is multiplied by 2, which equals 2. 1 x 2 = 2. And 3 is turned into 6 through multiplication. 3 x 2 = 6. So we can see that the relationship between the quantities is "x 2".
Step-by-step explanation:
Hope this helps =)
Yesterday morning Kimberly had 48 dollars. She first spent 3/4 of it at the mall. She counted her
money. Later, she went to the movies and spent 1/3 of what was left after her shopping. How much
money does she have now?
Answer:
$8.00
Step-by-step explanation:
Based on the given conditions, formulate:
[tex]48[/tex] × [tex](\frac{1}{3}-1)[/tex] × [tex](\frac{3}{4}-1)[/tex]
Apply the Distributive Property:
[tex](48[/tex] × [tex]\frac{1}{3}+48[/tex] × [tex](-1))[/tex] × [tex](\frac{3}{4}-1)[/tex]
Apply Multiplicative Distribution Law:
[tex](16-48)[/tex] × [tex](\frac{3}{4}-1)[/tex]
Calculate the sum or difference:
[tex]-32[/tex] × [tex](\frac{3}{4}-1)[/tex]
Apply the Distributive Property:
[tex]-32[/tex] × [tex]\frac{3}{4}-32[/tex] × [tex](-1)[/tex]
Apply Multiplicative Distribution Law:
[tex]-24+32[/tex]
Calculate the sum or difference:
[tex]8[/tex]
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-4,5), H (3,5), J (2, -1), and
K(-5, 1)
Solution:
Draw the parallelogram on the coordinate plane.
Graph #1 Attached~We can tell that the intersection point is (-8/5,27/10).
Hoped this helped!
Express your answer to the 3rd sf 304.03 - 189.65
Answer:
114.4
Step-by-step explanation:
the answer is originally 114.38, but rounding it off makes it 114.4
Answer:
114.38 Is Your Answer
8j + 5 = 61
Steps to solve
Answer:
j =7
Step-by-step explanation:
8j + 5 = 61
Subtract 5 from each side
8j + 5-5 = 61-5
8j = 56
Divide each side by 8
8j/8 = 56/8
j = 7
Answer:
J = 7
Step-by-step explanation:
8j + 5 = 61
8j = 61 - 5
8j = 56
8j ÷ 8 = 56 ÷ 8
j = 7
Please Help! I have a math test and can't understand this one!?
Substitute this simultaneous linear equation
[tex]3x {}^{ - 1} - {4y}^{ - 1} = 5 \\ {2x}^{ - 1} + {3y}^{ - 1} = 7[/tex]
Answer:
[tex] {3x}^{ - 1} - {4y}^{ - 1} = 5 \: ....(1) \\ \\ {2x}^{ - 1} + {3y}^{ - 1} = 7 \: ....(2) [/tex]
__o__o__
[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \: ....(1) \\ \\ \\ \frac{1}{2x} + \frac{1}{3y} = 7 \: ....(2)[/tex]
From equation (1) ;
[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \\ \\ \frac{1}{4y} = \frac{1}{3x} - 5 \\ \\ \frac{1}{4y} = \frac{1 - 15x}{3x} \\ \\ \\ 4y(1 - 15x) = 3x \\ \\ 4y = \frac{3x}{1 - 15x} \\ \\ y = \frac{3x}{4(1 - 15x)} \\ \\ \\ y = \frac{3x}{4 - 60x} [/tex]
[tex] \frac{1}{2x} + \frac{1}{3y} = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{3( \frac{3x}{4 - 60x} )} ) = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{ \frac{9x}{4 - 60x} } ) = 7 \\ \\ \\ \frac{1}{2x} + \frac{4 - 60x}{9x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{2(4 - 60x)}{18x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{8 - 120x}{18x} = 7 \\ \\ \\ \frac{9 + 8 - 120x}{18x} = 7 \\ \\ \frac{17 - 120x}{18x} = 7 \\ \\ 18x \times 7 = 17 - 120x \\ \\ 126x = 17 - 120x \\ \\ 126x + 120x = 17 \\ \\ 246x = 17 \\ \\ x = \frac{17}{246} [/tex]
[tex]y = \frac{3x}{4 - 60x} \\ \\ y = \frac{3( \frac{17}{246}) }{4 - 60( \frac{17}{246} )} \\ \\ y = - \frac{17}{12} [/tex]
Rewrite the improper fraction as a mixed number.
Answer:
8/3 would be 2 2/3 and 15/5 would be 3
Step-by-step explanation:
I wrote my answer and used a website to double check.
If f(x) is an exponential function where f(1.5) = 7 and f(8.5) = 46, then find the value of f(14), to the nearest hundredth.
Answer:
[tex]f(14)=201.932[/tex]
Step-by-step explanation:
Set up a system of equations and solve for "b"
[tex]\left \{ {{46=ab^{8.5}} \atop {7=ab^{1.5}}} \right\\ \\\left \{ {{\frac{46}{b^{8.5}}=a } \atop {\frac{7}{b^{1.5}}=a} \right\\\\\frac{46}{b^{8.5}}=\frac{7}{b^{1.5}}\\ \\46b^{1.5}=7b^{8.5}\\\\46=7b^7\\\\\frac{46}{7}=b^7\\ \\b=1.308604899[/tex]
Determine the value of "a" using "b"
[tex]y=ab^x\\\\46=a(1.308604899)^{8.5}\\\\46=9.837224985a\\\\a=4.676115477[/tex]
Find f(14) using the new function
[tex]f(x)=4.676115477(1.308604899)^x\\\\f(14)=4.676115477(1.308604899)^{14}\\\\f(14)\approx201.932[/tex]
Last week Connor and his roommates ate 1 1/6 cartons of yogurt, and this week they ate 3 cartons. How much more yogurt did they eat this week compared to last week?
Answer:
dude I need like a picture or something to say
The equation and table shows were two boys pay for gym fees compare the rate of change and initial value for each function
Alfredo month 0 1 2 3 Alex C=25+10m, where
Cost 20 30 40 50 C= cost in dollars and
M= number of months.
The equation is an illustration of a linear function
The rate of change is 10 and the initial value is 25
How to determine the rate of change and the initial valueThe equation is given as:
[tex]C = 25 + 10m[/tex]
A linear equation is represented as:
[tex]y = b + mx[/tex]
Where:
b represents the initial valuem represents the rateBy comparison:
b = 25
m = 10
Hence, the rate of change is 10 and the initial value is 25
Read more about linear functions at:
https://brainly.com/question/15602982
When the binomial 27x2 - 300 is factored, the result is 3(3x – b)(3x + b). What is the value of b?
Answer:
The b-value is the middle number, the number next to the x. The other letters, a and c, are also numbers like b. Each of these can be any number. In combination, they tell you what the quadratic function will look like when graphed. Step-by-step explanation:
5. Which statistical graph is the most useful when comparing multiple datasets?
a. Ogive
b. Box-plot
c. Pie chart
d. Histogram
6.
(04.01 LC)
Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 . (5 points)
5 to the power of negative 5 over 6
5 to the power of 3 over 2
5 to the power of negative 1 over 6
5 to the power of 5 over 2
Answer:
A. 5 to the power of negative 5 over 6Step-by-step explanation:
[tex]\sqrt[3]{5} \sqrt{5} /\sqrt[3]{5^5} =[/tex][tex]5^{1/3+1/2-5/3}=[/tex][tex]5^{1/2-4/3}=[/tex][tex]5^{3/6-8/6}=[/tex][tex]5^{-5/6}[/tex]To make a batch of donuts, a baker separates a 6-pound batch of dough in half. Each half makes 12 equally sized donuts. What is the weight, in ounces, of each raw donut? (1 pound = 16 ounces)
A) 4
B) 6
C) 24
D) 48
Solve each inequality.
x+4 >9 Write the inequality.
x + 4 -4 >9 -4 Subtract 4 from each side.
x,>5 Simplify.
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}[/tex]
Step-by-step explanation:
[tex]\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}[/tex]
______________
[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]
Answer:
[tex] \displaystyle{x + 4 > 9}[/tex]
Subtract 4 from each side:[tex] \displaystyle \: x + 4 - 4 > 9 - 4[/tex]
[tex] \displaystyle \: x > 5[/tex]
Chris is opening candy store. He is charging $4 for a small box of candy and then $1.25 for each additional box. What is the slope and y-intercept for this situation?
Answers:
Slope = 1.25
y intercept = 4
Explanation:
The slope is the rate of change. In this case, it's the price of getting an extra box.
The y intercept is the starting cost assuming that everyone has to get at least one small box of candy.
ILL GIVE BRAINLIEST
Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 26 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?
Answer:
14 Dimes and 12 Nickels
Step-by-step explanation:
So you want to make 2 equations like this:
n+d=26
0.05n+0.10d=2
Now, use substitution and get d=26-n
plug that into the next equation and get
0.05n+0.10(26-n)=2
Distribute and combine like terms
0.05n+2.6-0.10n=2
2.6-0.05n=2
subtract 2.6 from both sides and you get
-0.05n=-0.6
Solve for n by dividing and you get
12 nickels.
Now, plug that into the first equation and you get
12+d=26
d=14
#20 #21
help would be great im struggling so hard
Answer:
20: is 34 degrees
21: is 34 degrees as well.
Step-by-step explanation:
Hope this helps! :)
Order the numbers 222%, 11/25, and 0.31% from least to greatest.
O 222%, 11/25, 0.31%, and 0.34
O 0,31%, 0.34, 222%, and 11/25
O 0.31%, 0,34, 11/25, and 222%
O 222%, 11/25, 0.34, and 0.31%
Answer:
C
Step-by-step explanation:
C. 0.31% = 31%, 0.34 = 34%, 11/25 (0.44 = 44%), and 222%
Hope this helps!
Answer:
12
Step-by-step explanation: