Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Directions: Solve for x. Round to the nearest tenth. 16" N 37
The value of x is: x = 35.57.
Here, we have,
given that,
from the given diagram, we get,
it is a right angle triangle,
base = x
hypotenuse = 37
and angle = 16°
now, we know that,
cos θ = adjacent / hypotenuse
so, we get,
cos 16° = x/37
The value of cos 16° is equal to the x-coordinate (0.9613).
∴ cos 16° = 0.9613.
=> 0.9613 = x/37
=> x = 35.57
Hence, The value of x is: x = 35.57.
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ASAP PLSSS!!
Find the slope of the line shown below :
Answer:
the slope is 3
Step-by-step explanation:
word problem please help
Answer:
A
Step-by-step explanation:
s = cost of senior ticket
c = cost of child ticket
System of Equations:
8s + 7c = 211
4s + 6c = 138
I used the elimination method and multiplied the second equation by -2
-8s - 12c = -276
add the above to the first equation and get
-5c = -65
c = 13
now find s
8s + 7(13) = 211
8s + 91 = 211
8s = 120
s = 15
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
The distance is 7 units between point D and point E
I need to find the measure of angle A
Answer:
∠ A = 30°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
90 + x + 67 + x + 37 = 180, that is
2x + 194 = 180 ( subtract 194 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
Then
∠ A = x + 37 = - 7 + 37 = 30°
5 skaters who brought skates 3 rented skates If there were 12 more skaters who brought their skates than skaters who rented skates how many skates were there all together
Answer and explanation:
Given that 5 skaters brought their skates
3 skaters rented their skates
And 12 more skaters brought their skates than skaters who rented skates
Then there are 5+3+12= 20skates altogether
What is the area of this trapezoid?
Help! I need this please!
HELPPPP PLZZZZZZZZZ
WILL MARK BRAINLIEST
Answer: it is D
Step-by-step explanation:
Russom deposits $500 into a compound interest account. The interest rate for the
account is 3.25%. Determine the account balance after 5 years.
Answer:
$581.25
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.25%/100 = 0.0325 per year,
then, solving our equation
I = 500 × 0.0325 × 5 = 81.25
I = $ 81.25
The simple interest accumulated
on a principal of $ 500.00
at a rate of 3.25% per year
for 5 years is $ 81.25.
For every 15 minutes of driving you've drove 600 miles what is the unit rate
Answer:
Step-by-step explanation:
40 miles per minute
Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
Answer:
3.90 I think.
Step-by-step explanation:
first, 15×36. then subtract 50 three times.
Answer:
$3.90
Step-by-step explanation:
The cost of making them all is 1.50 subtracted from the profit he made
True or False. The measure of ∠3 is 55°. And explain the reason.
And i'll give you 20 point's and a brainly
Answer:
Step-by-step explanation:
The complement of "x" is "90-x".
The complement of 55 degrees is 90-55 = 35 degrees
--------------
The supplement of "x" is 180 -x.
The supplement of 170 degrees is 180-170 = 10 degrees.
If lin runs 21 laps at the same rate, how long does it take her 25.6 minutes How many laps per minute is that? __ laps
Answer: 0.82 laps per minute
Step-by-step explanation:
Lin is running 21 laps in 25.6 minutes.
To find out her speed in laps per minute, divide the distance she has ran by the time it took her to run it.
= Distance / time
= 21 / 25.6
= 0.82 laps per minute
What is the value of x?
X=
x=3 i guess thats it
will give brainliest find h :)
Answer:
I don't know I'm really really sorry now can you give me a
A landscape architect is designing a public patch with two adjacent circular fountains. The walking paths are tangent to the fountains as shown the lengths are given. Find x and y.
Answer:
x=4
y=11
Step-by-step explanation:
you know that tangents drawn from same point are congruent
so
6.5x-4.5=5x+1.5
1.5x=6
x=4
4x-1=y
y=11
please help!! will give brainiest
Answer:
-1
Step-by-step explanation:
Please help will give Brain!!
please HELP ME AHHH need help
What number should go in the space multiplying by 1.44 is the same as increasing by.
Answer:
multiplying by 1.44 is the same as increasing by 44%
Step-by-step explanation:
this is because 44+100 divided by 100 is 1.44
Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire
and 14 quarts of liquid nails.
a. The store only sells wire by the foot. How many feet does Jonah need?
b. The store only sells liquid nails by the gallon. How many gallons does Jonah need?
Answer:
13 gallons
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Step-by-step explanation:
helppp me with this eee
Answer:
6 lessons mark me as brainliest
Step-by-step explanation:
200-50=150-25=125-25=100-25=75-25=50-25=25-25=0
1 2 3 4 5 6
Answer:
6
Step-by-step explanation:
0.24 as a percent. i already know that its 24% but can you show me an explanation
Explanation:
So any decimal number is the same as a percentage but take off ONE zero in front of it
So with 0.24 for example, you take off the zero in front and since there are no zeros for the decimal point to be behind, there is no need for the decimal point now, so the percentage is 24%
An eagle 300 feet in the air spots its prey on the ground. The angle of depression to its prey is 25 degrees. What is the straight-line distance from the eagle to its prey? Round to the nearest foot.
Answer:
no se quisiera saber pero la verdad no se
Jason worked 3 more hours than Keith.
Jason worked 12 hours. Which equation
represents this situation, if k is the
number of hours Keith worked?
A. 12 + k = 3
B. 12k = 3
C. k + 3 = 12
D. 3k = 12
Answer: C is the answer
Step-by-step explanation:
Because jason did 3 more hours that keith so we add 3 plus the missing number which stands for keith
Answer:
Its C
Step-by-step explanation:
Becuae
suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?
Answer:
[tex]\boxed {\boxed {\sf \$9,534.37}}[/tex]
Step-by-step explanation:
The formula for continuously compounded is:
[tex]A=Pe^{rt}[/tex]
where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.
The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.
1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015Now we know all the values and can substitute them into the formula.
[tex]P= 7500 \\r= 0.015 \\t= 16[/tex]
[tex]A= 7500(e^{0.015*16})[/tex]
Solve the multiplication in the exponent first.
[tex]A= 7500(e^{24})[/tex]
Solve the exponent.
[tex]A= 7500 (1.27124915)[/tex]
[tex]A=9534.368627[/tex]
Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.
[tex]A=9534.37[/tex]
The account balance will be $9,534.37 after 16 years.
Problem 1
A recipe calls for 1 lb of flour for 1 batch. How many batches can be made with each of the
following amounts?
a. 1 lb
b. 10
c.1 lb
Answer:
a- 3 batches
b-
[tex]1 \frac{1}{2} = 1.5[/tex]
c- 0.5 batches
You have $8 and earn $1.25 for each health bar you sell. Write an equation in two variables that represent the total amount A (in dollars) you have after selling b health bars.
What is the final amount if 490 is increased by 15% followed by a further 14% increase?
Give your answer rounded to 2 DP.
Witch expression is equivalent to( 3x+4)-(7x+2)
Answer: -4x+2
Step-by-step explanation: Simplify