A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?
Answer:
Length of ladder =L =15
Distance from wall = D =9
Height on wall = H =??
Pythagoras equation L*L = D*D + H*H
15×15= (9×9) + H×H
225-81 = 144 =HxH
H= 12 feet.
I am right or wrong
please check
WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42
a) 1:3
b) 1:3
c) 1:3
d) 1:3
e) 2:3
f) 2:3
g) 3:4
h) 31:42
Step-by-step explanation:
3:9=1:3
12:36=1:3
13:39=1:3
71:213=1:3
142:213=2:3
38:57=2:3
33:44=3:4
the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.
Solve for x in the following equation
2^(8x-8)=4^7x
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?
Answer:
$1711.5
Step-by-step explanation:
Step one
given data
Principal = $1500
interest rate= 4.5% = 0.045
time = 3 years
Step two:
The compound interest expression is
[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]
3(x-2)+1=
I have to turn this in, in 10 minutes. Help.
Answer:
3x-6+1
Step-by-step explanation:
I know algebraaaaaa
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
Which of the following uses the reciprocal property to rewrite x/5 = 72/4
Please help me :)
Answer:
??You texted incomplete question.
By the way, x = 90
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
How do you write equations for horizontal and vertical lines?
Answer:
y=_
x=_
Step-by-step explanation
horizontal for y=_
vertical for x=_
The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.
Answer: 525
Step-by-step explanation:
450+15+60=525
Answer:
The cost of each ticket is $30.
Step-by-step explanation:
$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.
450 ÷ 15 = 30
Solve the following quadratic equation by factorising first x^2 + 5x - 14 =0
Answer:
Step-by-step explanation:
Here you go mate
step 1
x^2+5x-14=0 equation/Question
step 2
x^2+5x-14=0 factor by setting them equal to zero
(x-2)(x+7)=0
answer
x=2 or x=-7
15 * 15 is?
YYYYYYYYYYYYYYYYYYYYYYY
Answer:
225 I just checked tell me if you're right
Answer:
15*15 = 225
15*15 is the same as [tex]15^{2}[/tex]
if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.
no matter how ya do it, 15 *15 is 225
Step-by-step explanation:
Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm
Answer:
3 cm and 1.75 cm
Step-by-step explanation:
the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50
The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?
Answer:
634
Step-by-step explanation:
The population of the birds in 2001 = 230000
From 2001 to 2021 = 20 years
Given:
y = 200000[tex](0.75)^{x}[/tex]
where x is the number of years since 2001.
The population of the birds after 20 can be determined by;
y = 200000[tex](0.75)^{20}[/tex]
= 200000(3.171211939 x [tex]10^{-3}[/tex])
= 634.2424
y = 634
Thus, there would be 634 endangered birds in 2021.
What is the measure of Angle HEG?
Answer:
angle HEG = 12 degrees
Step-by-step explanation:
A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees
x + 78 = 90 >> subtract 78 from both sides
x = 12
angle HEG = 12 degrees
Answer:
18 degrees
Step-by-step explanation:
There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
simplify if possible 3t+2g-t-3g
Answer:
2t-g
Step-by-step explanation:
Collect like terms
3t-t= 2t
2g-3g= -g
2t-g
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1
on a certain day the temperature at midday was 14°c.By midnight the temperature had fallen by 17°c what was the temperature at midnight
Answer:
-3c
Step-by-step explanation:
Answer:
-3c
Step-by-step explanation:
according to my calculations this is right
9. The hypotenuse of a 45°-45°-90° triangle is 5 sqrt 6. Find the length of one leg of the right triangle.
Answer:
5 ✓ 3
Step-by-step explanation:
using Pythagoras Theory
(5 ✓ 6 )2 =, 2 x square side
square leg length= 150/ 2=, 75
length =5 ✓ 3
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
If you tell me all the right answers I will mark you brainliest!!
Answer:
11 is natural, real, integer and whole number.
1% is irrational and real, integer.
√25 = 5 hence it's natural, real, integer and whole
√50 is rational and real, integer.
1.333… is natural, real and integer
2.3×10^5 is natural, real, integer and whole number.
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
By what percent did
the Howard family's
water bill decrease from
June to July? June $110.00, July $50.00
Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Answer:
a= 8 and PQ= 28
Step-by-step explanation:
since triangle XYZ and triangle PQR are congruent, we will write the equation like this:
PQ=XY
3a+4= 5a—12
3a—5a= —12—4
—2a= —16
a= 8
SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ
PQ= 3a+4
PQ= 3(8)+4
PQ= 24+4
PQ= 28
Someone pls help me with both :(
Answer:
5) A
6) D
Step-by-step explanation:
for 5) I did just looked up online
2.5% of 25,000
and I added it to 25,000
which was 26,265.625
so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21
for 6) I did similar to 5) but I used the numbers that were given
I looked up 4% of 1,250 and I did that twice and got $1,352.55
hope that helped ;)
What is a real solution and examples of real solutions
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
anyone knows the answer ?
Answer:
yes
Step-by-step explanation:
Help me help me help me help me help me help me help me
Answer:
C. and A.
Step-by-step explanation:
1/6 is a positive number so that is automatically greater than -0.33 and 0.3 is It's like, the bigger the number next to the negative sign, the MORE NEGATIVE it is, making it SMALLER.
Reward for answering question correctly:
So am I gonna get brainliest?
Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)