Answers
Answer: 12.65
Step-by-step explanation:
Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.
[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]
b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x
[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]
Related Questions
A line has a y-intercept of 4 and a slope of 10. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Answers
Answer:
y=10x+4
Step-by-step explanation:
Answer:
y=10x+4
Step-by-step explanation:
expand 3(z+3) please help me solve this
Answers
Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
Simplify.
8200−−−√−3162−−−√
Answers
Answer:
the question is supposed to be [tex]8 \sqrt 200 - 3\sqrt 162\\[/tex]
i think the answer is [tex]53\sqrt 2[/tex]
I'll update if its right or wrong
Step-by-step explanation:
The expression 8√200 − 3√162 in the simplified form will be 53√2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 8√200 − 3√162
Simplify the expression, then we have
⇒ 8√200 − 3√162
⇒ 80√2 − 27√2
⇒ 53√2
The expression 8√200 − 3√162 in the simplified form will be 53√2.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation
Answers
Answer:
-2.56E5
3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5
Answer: -2.56 x 10⁵
:-D
I need this solved ASAP please
ratio 4:12 simplified.
Answers
Answer:
1/3
Step-by-step explanation:
4/12
2 goes in to 4 and 12, so 4 divide by 2 is 2 and 12 divide by 2 is 6 then you have to simplify it again since 2 can still go into 2 and 6 so 2 divide by 2 is 1 and 6 divide by 2 is 3.
Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25
(a) What does the 1.3 represent in this context? Give units.
(b) What is the continuous growth rate of users per year?
(c) What is the annual percent growth rate of users per year?
(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.
Answers
Answer:
A) 1.3 represents the number of foodbank users in thousands in the year 2006
B) 0.81 per year
C) 124.79%
D) the doubling rate is less than a year.
Step-by-step explanation:
A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands
Thus, in 2006,t = 0.
So, N(0) = 1.3e^(0.81 × 0)
N(0) = 1.3
Thus,1.3 represents the number of foodbank users in thousands in the year 2006
B) From the question, we see that the continuous growth rate is 0.81t.
This is 0.81 per year
C) The exponent of the growth rate is e^(0.81t).
Thus gives; 2.2479^(t)
This means the annual growth factor for each year is 2.2479.
Thus,annual percent growth rate is;
(2.2479 - 1) × 100% = 124.79%
D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.
A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
Answers
Answer:
6 feet
Step-by-step explanation:
Let's form a proportion;
24 x
____ = _____ ,
9 2.25
24(2.25) = 9x,
54 = 9x,
x = height of soldier = 6 feet
Answer:
6 feet
Step-by-step explanation:
[tex]\frac{height of object}{length of shadow}[/tex]
Let the hight of the soldier be x
[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]
x = (24×2.25)/9 = 6ft
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
Answers
Answer:
domain={-7,-2,0,4} and range={2,1,5}
Step-by-step explanation:
heyyy so like hellpppp me out
Answers
Answer:
gotta be C
Step-by-step explanation:
show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7
Answers
Answer:
The point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Step-by-step explanation:
Function of graph : f(x)
Rule : f(x)→f(x-c)
When the graph shifts to right by c units
Coordinates (x,y)→(x+c,y)
Rule : f(x)→f(x)+c
When the graph shifts up by c units
Coordinates (x,y)→(x,y+c)
So, Graph f(x-2)+7
Now given graph f(x)
Shift this right by 2 units and then shift up by 7 units
So, f(x)→ f(x-2)+7
Now , Translation of point(4,5)
Using rule :
When shift by 2 units right
(4,5) →(4+2,5)=(6,5)
Now shift up by 7 units
(6,5) →(6,5+7)=(6,12)
So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS
Answers
Answer:
Step-by-step explanation:
In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON
GIVEN
KO = 4y+6
ON = 3y+11
Equate
4y+6 = 3y+11
Collect like terms
4y-3y = 11-6
y = 5
KO = 4(5)+6
KO = 20+6
KO = 26
Note that KO = OM = LO = ON = 26
Hence ON = 26
For diagonal KM,
KO+OM = KM
KM = 26+26
KM = 52
LN = LO+ON
LN = 26+26
LN = 52
From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°
<KON = 180-(32+32)
<KON = 180-64
<KON = 116°
<ONM = 90-32
<ONM = 58°
∆ONM is also an isosceles triangle,
<ONM = <OMN = 58°
Hence <KMN = 58°
Ratios and Rates
Express each ratio as a fraction in the simplest form
1) 30 miles out of 30 miles
2) B blue cars out of 12 cars
3) 7 quarts to 84 quarto
4) 25 cups to 35 cups
5) 9 gallons to 36 gallons
6) 54 bootles out of 60 insects
7) 10 pennlos to 45 pennies
B) 28 dimes to 48 dimos
Express each phrase as a rate and unit rate
(Round your answer to the nearest hundredth)
Rate
Unit Rate
9) 130 miles on 4 gallons of gas
10) 9 inches of sno
w in 7 hours
11) 6 calculators cost $150.00
12) 8 pencils for 16 dollars
13) 10 chocolate bars cost 17 dollars
14) 7 dollars for 3 cans of tuna
15) 9 batteries cost 13 dollars
16) 14 dollars for 8 books
Math-Ads.com
Answers
Answer:
1) 1
2) 12/B
3) 12
4) 1 2/5
5) 4
6) 1 1/10
7) 4 1/2
8) 1 7/10
9) 32 1/2
10) 9
Michael earns $12.50 per hour. Which equation describes this statement?
y=25x
y=12x
y=0.5x
y=12.5x
Answers
Answer: y= 12.5x
Step-by-step explanation:
The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.
Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?
converse of the corresponding angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
converse of the alternate exterior angles theorem
Answers
3. 9x10^4. 4. 5x10^7. Please answer 3 and 4
Answers
Answer:
9 times 10 to the power of 4 is equal to 9 times 10,000
Step-by-step explanation:
3) is 4 times greater
4) 7 times greater
Answer:
hvuhbivjkfhigoveriudjkvejrsdvuweduv
Step-by-step explanation:
udsijnvcifudjkbnvueifvbbaeunidsv
;)
show work .-12.4+9.2
Answers
Answer: -12.4 + 9.2 = -3.2
4-2=2
9-12=3
Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.
Answer:
-3.2
Step-by-step explanation:
This is the longer explanation.
-12.4+9.2 let's start with the tenth values.
On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.
Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.
-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.
Jeans are on sale for $16 per pair. How much will 4 pairs of jeans cost?
Answers
Answer:
4 pairs cost $64
Step-by-step explanation:
16*4=64$
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answers
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
which fraction is less 2/10 or 5/8 or neither they are equal
Answers
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
I need help with this geometry
Answers
Answer:
90 degrees
step by step explanation:
LKM moves half way on the blender which is 90 degrees.
f (x) = 8x^4 – 64
Factor completely
Answers
Answer:
8(x^4 - 8)
Step-by-step explanation:
Factor out an 8, since both 8 and 64 are divisible by 8:
f(x) = 8x^4 - 64
f(x) = 8(x^4 - 8)
So, the equation factored completely is 8(x^4 - 8)
Answer:
[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]
[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]
Step-by-step explanation:
[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
taking into account the correction from the comment
[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]
The point slope form of the equation of the line that passes through (-9,-2) and (1,3 ) is y- 3= 1/2(x-1). What is the slope intercept form of the equation for this line? (Plz help!! It’s 15 points!! )
Answers
Answer:
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] (both are right)
Step-by-step explanation:
Distribute the 1/2
y-3=.5x-.5
add 3
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] if you're into fractions
Lili has saved $2,500 money from her part time job at a bakery. Since she will not need this money for a few years, she decides to put the money in a 3-year CD (Certificate of Deposit) at a local credit union. The credit union offers Lili 2.75% APR, compounded quarterly. How much will Lili's CD be worth at the end of the 3 years?
Answers
Answer:
Lili's CD be worth at the end of 3 years is $2714.23
Step-by-step explanation:
Lili deposit $2500 at the Annual percent rate 2.75% and for 3 years compounded quarterly.
Let's use formula
A = p[tex](1+\frac{r}{n} )^{n*t}[/tex]
From the given information
p=2500
r =0.0275
t=3
n=4
Plug in these values into the formula
A=2500[tex](1+\frac{0.0275}{4})^{4*3}[/tex]
Simplify the right side of the equation,
A=$2714.23
help i need the question now lol
Answers
Answer:
no yes no yes
Step-by-step explanation:
Im pretty sure thats correct
Answer:
no yes yes no
Step-by-step explanation:
hope this help;)
When rounding to the nearest tenth, which of the numbers below will round to 78.5? Select all that
apply.
A) 78.405
B) 79.4
C) 78.48
D) 78.51
E) 78.54
Answers
Answer:
Step-by-step explanation:
The answer is because when rounding it should be b
ask me a question. any question. ill probably answer it. unless I'm lazy.
Answers
Answer:
What is your fav artist music wise
Step-by-step explanation:
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher
friends at school
She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie.
If she wants each container to have the greatest number of cookies possible, how many plastic containers does she
need?
Answers
Answer: 16 containers?
Step-by-step explanation:
Number of oatmeal cookies with Kiara = 30
Number of chocolate chips cookies with Kiara = 48
To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .
Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32
Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48
Common and highest among these factors = 16
Which means 16 is the HCF of 32 and 48 .
∴ Kiara will need 16 plastic containers .
The radio of 2,787 to 1,750 is ____
Answers
Answer:
1.59
Step-by-step explanation:
Divide 2,787 by 1,750
find the number of point p that is 1/4 of the way from a to b.
A__________________B
-15 33
Answers
Answer:12
Step-by-step explanation:33 + 15=48 48/4=12
CMONNN I NEEDDDDD HELP !!!!
Answers
Answer:
My answer will be 3.
Step-by-step explanation: