Answer:
5 1/8
Step-by-step explanation:
5 1/2 = 11/2
11/2 = 44/8 (x4)
44/8-3/8=41/8
41/8=5 1/8
Shown is a cube of side length 8. Points B and C are midpoints. The length of the altitude from A to BC (bar over BC) of triangle ABC is ab√ where b√ is reduced to simplest form. What is a+b?
If D is the vertex on the bottom face of the cube below ∆ABC, then ∆BCD is an isosceles right triangle with legs of length 4, so BC has length 4√2.
The right triangles ∆ABD and ∆ACD both have legs of length 4 (on the bottom face) and 8 (the length of AD) so the hypotenuses AB and AC each have length √(4² + 8²) = 4√5.
Then in ∆ABC, the altitude has length x such that
(4√5)² = x² + (1/2 × 4√2)²
80 = x² + 8
x² = 72
x = √72 = 6√2
Presumably, you meant to say that this altitude has length a√b. Then a = 6 and b = 2, so a + b = 8.
The measure of a + b given that [tex]a\sqrt{b} = 6\sqrt{2}[/tex] is 8
From the given diagram, we have that the side length of the cube is 8units.
Let the midpoint of BC is E. The required length will be AE
Get the hypotenuse AC using Pythagoras theorem;
AO = 8 units
OC = 3 units
Get the measure of AC
[tex]AC^2 = AO^2+OC^2\\AC^2=8^2+4^2\\AC^2=64+16\\AC^2=80\\AC^2=80\\AC=4\sqrt{5}[/tex]
Next is to get the length of BC using Pythagoras theorem:
[tex]BC^2=4^2+4^2\\BC^2=16+16\\BC^2=32\\BC = \sqrt{32}\\BC=4\sqrt{2}[/tex]
Get the measure of EC
[tex]EC=\frac{4\sqrt{2} }{2} \\EC=2\sqrt{2}[/tex]
Get the required length of AE using Pythagoras theorem;
[tex]AC^2=AE^2+EC^2\\(4\sqrt{5})^2= AE^2+(2\sqrt{2} )^2\\AE^2=80-8\\AE^2=72\\AE=\sqrt{72}\\AE =\sqrt{36\times 2}\\AE=6\sqrt{2}[/tex]
Compare with the radical function [tex]a\sqrt{b}[/tex], where a = 6 and b = 2, hence [tex]a+b= 6+2 =8[/tex]
Learn more here: https://brainly.com/question/11748505
Find f(5) given that f(x)= x^2_1
Answer:
[tex]f(x) = x {}^{2} - 1 \\ f(5) = (5) {}^{2} - 1 \\ = > 25 - 1 \\ = > 24[/tex]
hope helpful <3
i will brainlylist u and add u as a friend just help me out with this and 100 points
Answer:
K, i'll help, btw thx for pts <3
Step-by-step explanation:
How do I solve 3 - 4.5 =
Answer:
-1.5
Step-by-step explanation:
3.0 - 4.5 is the same as 3.0 + (-4.5)
in this instance you subtract 3.0 from 4.5 and keep the sign of the larger number, which is 4.5 (you disregard the negative sign)
Which ratio is equivalent to 5:9? with a twist ( only those options)
Divide the option with 4 so that you can get the equivalent ratio to 5:9 .
find difference
54.59- 26.61
A. 81.20
B. 38.98
C. 32.18
D. 27. 98
Answer:
D
Step-by-step explanation:
Answer:
D) 27.98
Step-by-step explanation:
All you have to do is subtract, have a nice day <3
What is the best definition of a non-current asset?
Answer:
Step-by-step explanation:
Noncurrent assets are a company's long-term investments that are not easily converted to cash or are not expected to become cash within an accounting year. ...
Which ostrich is fastest x= second Y= feet look at picture
Answer: It is S.
Step-by-step explanation:
S: y= -1/4x + 2
+1/4 +1/4
y = 2 1/4x
Please help
What value of b makes the trinomial below a perfect square?
X^2-bx+16
Answer:
D) 8Step-by-step explanation:
Given trinomial:
x² - bx + 16It has two perfect squares and a variable with negative coefficient.
It can be representing a:
(m - n)² = m² - 2mn + n²If we substitute m with x and n with 4, we'll get 2mn = 2*x*4 = 8x.
This gives us b = 8
(x - 4)² = x² - 8x + 16A farmer bought a number of pigs for $243. However, 4 of them died before he could sell the rest at a profit of 2 per pig. His total profit was $10. How many pigs did he originally buy?
He originally bought pigs.
Answer:
9 pigs
Step-by-step explanation:
If 4 of them didn't die, he'd have made 8 more dollars. 18/2=9.
there are a total of 45 bikes. if the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue?
Answer:
20
Step-by-step explanation:
4 + 5 = 9
45 / 9 = 5
4 * 5 = 20
hope this helps
help the time will finish
Answer:
blank=5blank=10blank=0What is the zero of the function represented by this graph?
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
The zero is where the graph crosses the line y=0 (the x-axis). It is also called the x-intercept.
That point is (-6, 0). The x-value there is -6.
__
Some folks like the x-value only; others like the ordered pair. Of course the y-value in the ordered pair is 0, which is what makes it a zero of the function.
A teacher asked her students how many pets they own. Here are the results:
0,0,0,1,1,1,1,2,2, 2, 3, 3, 4, 4,8
On a piece of paper, draw a dot plot to represent the data. Then determine
which answer choice matches the dot plot you drew.
The dot plot in option (C) matches the given data.
What is dot plot?Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.
Data points are represented as dots on a graph with an x- and y-axis in a data visualisation technique called a dot plot, often referred to as a strip plot or dot chart.
We have the data,
0,0,0,1,1,1,1,2,2, 2, 3, 3, 4, 4,8
We have four dot plot.
Dot plot A missing the data 3.
Dot plot B have only one 3.
Dot plot C have the same data.
∴ From the four options, the dot plot in option (C) matches the given data
Learn more about dot plot here
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If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before tax are added?
Answer:
$48.70
Step-by-step explanation:
can someone help me i really don't want to fail class
let's firstly convert the mixed fractions to improper fractions and then add/subtract.
[tex]\stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}~\hfill \stackrel{mixed}{7\frac{1}{5}}\implies \cfrac{7\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{36}{5}} \\\\[-0.35em] ~\dotfill\\\\ 8\frac{1}{3}~~ +~~\left( -7\frac{1}{5} \right)\implies \cfrac{25}{3}+\left( -\cfrac{36}{5} \right)\implies \cfrac{25}{3}-\cfrac{36}{5}\implies \stackrel{\textit{using }\stackrel{LCD}{15}}{\cfrac{(5)(25)~-~(3)(36)}{15}}[/tex]
[tex]\cfrac{125-108}{15}\implies \cfrac{17}{15}\implies \stackrel{\mathbb{POSITIVE}}{1\frac{2}{15}}[/tex]
pls solve this thanks
A suit was marked with a 10% discount.
If the discount is $16.00, what was the original price of the suit?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve the problem in 2 steps, one being Solving and the other being Comprehending. I'll start off with comprehending.
Comprehending
So, we know that 10% of a number is $16. That means that [tex]\frac{1}{10}[/tex] of the number "[tex]x[/tex]" is equal to $16.
A percentage is basically a fraction of something, for example, 25% of a number would be [tex]\frac{1}{4}[/tex] of the same number.
Example:
25% of 10 = [tex]\frac{1}{4} * 10 = 2.5[/tex]
2.5 is 25% of 10 = [tex]2.5 \div \frac{1}{4}=10[/tex]
Now that we know the basics, we can do the real solving.
Solving
To solve, the question, we can first read the problem and make an equation,
"10% of [tex]x[/tex] is 16."
We can then make a equation.
[tex]x(\frac{1}{10})=16[/tex]
[tex]x=16 \div \frac{1}{10} \\x=160[/tex]
After solving, we know that 10% of 160 is equal to 16. We can prove that with the following:
[tex]16*10=160[/tex]
After solving our equation, we can see that the answer is $160.
$16 is 10% of $160.
Cheers!
Given 3 + 7 + 11 + 15 + ... find S20
2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
$308
Step-by-step explanation:
I am not sure if this is correct. But try it and let me know if it was
You saved $140 on your new laptop because you bought it online. If this was a 20% savings from the original price, Find the original cost of the laptop.
given g(x)=8x+3 find the following g(-1) and g(2a+1)
Answer:
g(-1) = -5
g(2a+1) = 16a+11
Step-by-step explanation:
Substitute the given value into the function and evaluate.
So for g(x) = 8x+3
You substitute g(-1)
So g(-1) = 8(-1)+3
That is how you get -5
Then g(2a+1)
So g(2a+1) = 8(2a+1)+3
Thats how you get 16a+11
Hope this helps. Mark as brainlist
Please help, 20 points and if correct I will mark brainliest
p²a = p²e + r
p²a - p²e = r
(a-e)p² = r
p² = [tex]\frac{r}{a-e}[/tex]
p = ±[tex]\sqrt{\frac{r}{a-e} }[/tex]
C
Find the area of the shape below
Answer:
Total Area = 235cm^2
Step-by-step explanation:
Step 1 ) we have our lengths 11 and 20 so we need to separate the into 2 shapes Step 2) Label and draw new shape 20-11 = 9 to show (Shape square 1) = measuring 9 *9 and another (Shape Rectangle 2) = 11* 14 Step 3) Show how you do the multiplication of Square shape 9* 9 = 81cm^2 and Area Rectangle 11 * 14 = 154 cm^2 Total Area = 81+154 = 235cm^2 You can if you like in table multiplication show 11*14 by adding a zero underneath the 14 = 140 +14 = 154 then add and show +81 = 235cm^2 It is always easier to retain a shape if subtracting to get a 2nd shape this way it saves time with subtraction and in my example only needed to subtract 20-11 = 9 then 9*9 = 81cm^2 to retain the 14 *11 = 154cm^2 area for the rectangle
Answer:
Step-by-step explanation
full rectangle area (see figure) - small rectangle area
14 * 20 - [(14 - 9) *(20 - 11)] =
280 - (5 * 9) =
280 - 45 =
235 cm²
graph the equations to solve the system y=1/2x+2 y=1/2x+4
Answer:
y=1/2x+2
y=1/2x+4
(1/2x+1/2x)+2+4
2/2x+6
I think it may be the answer
the ratio 7 : 350? what the answer to this promblem
Answer:
17
Step-by-step explanation:
Answer: 17:850
Step-by-step explanation:
A Ratio explains how two commodity or items are related and how much of one is contained in another. in the ratio 7 : 350, 7 is contained in 350 by 50 times, this is gotten by dividing 350 by 7 to get a reduced ratio of 1:50. :(Tip-Divide the first number by the second.)
shen works mowing lawns and babysitting. he earns $9.40 an hour for mowing and $7.80 an hour for babysitting. how much will he earn for 4 hours of mowing and 6 for babysitting?
Answer:
$84.40
Step-by-step explanation:
mowing: $9.40/hour
babysitting: $7.80/hour
4 hours mowing + 6 hours babysitting =
= 4 × $9.40 + 6 × $7.80
= $37.6 + $46.8
= $84.40
Answer:
$84.40
Step-by-step explanation:
$9.40 · 4 + $7.80 · 6 = ?
9.4 · 4 = 37.60
7.8 · 6 = 46.80
37.60 + 46.80 = $84.4
I hope this helps!!
guys help me with this question
Blank 1: 7
Blank 2: 3
Blank 3: 2
Blank 4: 2
Vinnie is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Denver was $220. Now the cost is $305. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer: 58
Step-by-step explanation:
Answer:
Question 1. 38.6 % 2. 61.4%
Step-by-step explanation:
(New Cost - Old Cost) ÷ old Cost × 100
(305 - 220) ÷ 220 x 100
= 85/220 x 100
= 38.6 %
2. New Cost 305 + 50 = $355
(Now new cost - old cost) ÷ old cost × 100
(355 - 220) ÷ 220 × 100
= 135/220 × 100
61.4%
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Please give an explanation too!
irrational number, any real number that cannot be expressed as the quotient of two integers.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.
1st Is rational
2nd one is irrational
3rd is irrational
4th is rational
