Answers
Step-by-step explanation:
To solve both questions you will have to use the Pythagoras theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
c being the hypotenuse
so to find AB we say
[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]
To make AB the subject of the formula, we take PB over. Therefore:
[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]
now we just substitute
[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]
[tex] {ab}^{2} = 169 - 25[/tex]
[tex] {ab}^{2} = 144[/tex]
square root both sides of the equation
[tex]ab = 12[/tex]
We then use the same formula to find AQ(which is a hypotenuse)
[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]
[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {aq}^{2} = 144 + 81[/tex]
[tex] {aq}^{2} = 225[/tex]
square root both sides
[tex]aq = 15[/tex]
Related Questions
Solve -4 b + 2 = 18.
Answers
Answer:
-4
Step-by-step explanation:
Move all terms that don't include B to the right and solve
Dr.Goode prescribed 0.2 grams of cold medicine. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should his patient take 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets? Why?
90 POINTS PLS HELP
Answers
Answer:
4 of the 0.05 gram tablets
Step-by-step explanation:
4 of the 0.5 tablets would be 2 grams
4 of the 0.05 tablets would be 0.2 grams
HELP PLease
Write your answer as a fraction in lowest terms
Answers
Answer:
cos B = 9/41
Step-by-step explanation:
cos is adjacent over hypotenuse. SOH(CAH)TOA
Which is the verbal expression for (n+1) to the 2nd power ?
Answers
Answer:
1 more than n squared
Step-by-step explanation:
pls answer quickly
Ryan wants to measure the length of a bed cover which of the following would be the most appropriate unit to use?
A) kilogram
B) kilometer
C) meter
D) mile
Answers
The answer is meter since grams is used to measure weight and kilometer and mile are used to measure something larger.
Answer:
C. Meter
Step-by-step explanation:
1. Kilograms measure weight, not distance/length, so it wouldn't make sense to use them to measure a bed.
2. Kilometers are used to measure very long distances, as are miles, so it wouldn't make sense to use them on something small like a bedframe.
That means the only option left is C. Meter.
Hope this helps.
Please answer this question.
Answers
Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes
Answers
Answer:
69
Step-by-step explanation:
it is 69 becuase 4x-7+11x-8 equals 69
We have: 2.(4x - 7)° + 2(11x - 8)° = 360°
So: 8x - 14 + 22x - 16 = 360°
<=> 30x - 30 = 360°
<=> 30(x - 1) = 360°
<=> x - 1 = 12
<=> x = 13°
We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°
The answer: ∠G = 135°
Ok done. Thank to me :>
Write from least to greatest
Answers
Answer:
-9.5, -9, -8.5, -4, -2.5, 0, 7.7, 8
Step-by-step explanation:
hopes this helps <3
Dan made 85% of his free throws. If he took 45 shots how many did he make?
Answers
Answer:
38
Step-by-step explanation:
85%=.85
So 45 × .85 = 38.25
38 shots he made.
Hope this helps
Work Shown:
85% = 85/100 = 0.85
85% of 45 = 0.85*45 = 38.25
Rounding to the nearest whole number, we get the result 38
As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.
( 8 x 400 ) + ( 8 x 9 )
Answers
Answer:
3,272
Step-by-step explanation:
8 x 400 = 3200
8 x 9= 72
3200 + 72 = 3,272
Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х
Answers
Answer:
f(x) = 3 - x.......!!!!
I think so this is the. answer.....!!!
What is the domain and range .
Answers
x= infinite
El Club de Matemáticas está horneando pasteles para una venta de
pasteles. La receta del pastel de frutas requiere el doble de melocotones
que nectarinas. Si se necesitan un total de 168 piezas de fruta para todas
las tartas, ¿cuántas nectarinas se necesitan?
Answers
Answer:
56
Step-by-step explanation:
El problema se puede transcribir en esta ecuación:
2x + x = 168
siendo x las nectarinas
sumas los términos de x:
3x=168
despejas x:
x = 168 ÷ 3
x = 56
an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?
Answers
solve each proportion. 9/16 = x/12
Answers
Answer:
x =27/4
x=6.75
x=6 3/4
Step-by-step explanation:
They are all the same answer just written in different forms. Didn't know what form u wanted so i wrote them all
Answer:
x = 6.75
Step-by-step explanation:
cross multiply 9/16 = x/12
16x = 108
divide by 16 to isolate x
x = 6.75
Melissa bought a sofa on sale for $630. This price was 28% less than the original price.
What was the original price?
Answers
Answer:
630 is 28% of 2250.
Step-by-step explanation:
28 / 100 = .28
2250 X .28 = 630.
what is negative 6 + 5 and 1/4?=
Answers
Answer:
negative 0.75
Step-by-step explanation:
negative 6 + 5 is negative 1
divide 1/4 wich is 0.25 then
0.25 + negative 1 is negative 0.75
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
thats easy B ur welcome !!!!
Answer:
The answer is B
Step-by-step explanation:
In Lucy’s coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy’s coin collection
Answers
80 coins
.15x=12
divide both sides by .15
x= 80
Mrs ray is teaching a 5th grade class . She is standing 5 meters in front of Kiara. Ian is sitting 12 meters directly to Kiara’a right . How far apart are Mrs Ray and Ian
Choices
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
Answers
What is the correct answer?
Answers
Answer:
tan(w)=opp/adj
tan(w)=12/5
=2.4
=3 ........ rownd
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]
Now
[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]
[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]
[tex]\\ \sf\longmapsto tanW=2.4[/tex]
Need help ASP!!! Math-help
Answers
Could not lie on the same line
Explanation:
15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.
Answers
Answer:
Step-by-step explanation:
(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.
i posted this more then 2 times can someone help
Answers
Answer:
yes
Step-by-step explanation:
yes ......................................
Emily and Andy each go to a hardware store to buy wire the table shows that the cost why in dollars for X inches of the wire they need Emily needs 25 feet of wire and he needs 11 yards of wire how much will each of them spend on wire
Answers
Answer:
simple. it is x*y if it is 2 dollar per foot, 25ft would be 50$. 11yards is 33ft *2$=66$. change your values as needed just an example
The x and y axis are negative what's the quadrant or axis
Answers
Answer:
Need more information
If you want put a graph or explain more your question
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP
Answers
Answer:
$6400
Step-by-step explanation:
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years?
First you want to find how much she will get each year.
Turn 4% into a decimal.
Which you have to move the decimal point over to spaces to the left.
4. ----- .4 ----- .04
Now that you have done that you need to multiply,
$80000 × .04
which is $3200.
Now you know she gets $3200 a year.
Now multiply $3200 by 20.
$3200 × 20
which is $6400.
She will get $6400 interest.
Solve each inequality
2x + 2 - 6x > -4 - 7x
1 + 7n ≤ 15 or -2n - 2 ≤ - 18
Please show all work :D
Answers
Answer:
x > -2n ≤ -2 or n ≥ 8Step-by-step explanation:
1.Add 7x-2 to both sides and collect terms.
2x +2 -6x +7x -2 > -4 -7x +7x -2
3x > -6
x > -2 . . . . . . . divide by 3
__
2.Solve these one at a time, and form the union of the answers.
1 +7n ≤ 15 . . . .given
7n ≤ 14 . . . . . . subtract 1
n ≤ 2 . . . . . . . divide by 7
__
-2n -2 ≤ -18 . . . given
-2n ≤ -16 . . . . . add 2
n ≥ 8 . . . . . . . . divide by -2
The solution is n ≤ -2 or n ≥ 8.
hello, please answer
if
[tex]\frac{a}{b} = \frac{c}{d} = \frac{2}{5}[/tex]
then what is the answer of :
[tex]\frac{a + 3c + 4}{b + 3d + 10}[/tex]
Answers
Step-by-step explanation:
[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]
• Substitute:
[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]
f(x) = -4(x+2) what is f(4)
Answers
Answer:
-24
Step-by-step explanation:
f(4)= -4(x+2)
f(4)= -4(6)
f(4)= -24
Answer:
F(x)=-4(x+2)
0=-4-8
4x=-8
X=-2
So,-2×2
-4
Step-by-step explanation:
Have a great day!