Step-by-step explanation:
You can find the area of a right triangle the same as you would any other triangle by using the following formula:
A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.
For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.
Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:
A = (1/2)bh
= (1/2)(4 in.)(3 in.)
= (1/2)(12 in.²)
A = 6 in.² (note: in.² means square inches)
X + 128 = x + 68 find x
Answer:
[tex]no \: solution[/tex]
Step-by-step explanation:
1) Cancle x from both sides.
[tex]128 = 68[/tex]
2) Since 128 = 68 is false, There is no solution.
[tex]no \: solution[/tex]
Algebraic expressions describe a ________________. They can be as
simple as a number, or they can include a ________________ of numbers,
variables, and symbols.
Answer:
Algebraic expressions describe an algebraic operation. They can be as simple as a number, or they can include integer constants of numbers, variables, and symbols.
Step-by-step explanation:
Give four rational numbers betwee1by2 and 6 by 7
Answer:
Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4 Step-by-step explanation:
Step-by-step explanation:
we we have to find four rational number between 1/2 and 6/7.
So, firstly we find LCM ...for make same numerator
= 1×7/2×7 and 6×2/7×2
=7/14 and 12/14
Now,
We can check that.....8/14,9/14,10/14and 11/14 are four rational numbers between 1/2 and 6/7 .
can someone help me with this?
Find a • b if a=3i+8j and b=-0.5-4j
Answer: -8j + 3i
Step-by-step explanation:
3i + 8j · (- 0.5) - 4j
3i-8j · 0.5 - 4j
3i-4j-4j
3i-8j
-8j+3i
Hope this helps
Answer:
−1.5i−12ij−4j−32j2
Step-by-step explanation:
Ms. Para buys 8 boxes of clay for a science project. each box contains 19 grams of clay. the clay is equally shared among all 20 student. how many grams will each student get.
Answer:
7.6 g
Step-by-step explanation:
No: of boxes = 8
Grams of clay in each = 19
Total no: of grams = 19 x 8 = 152
No: of students = 20
Grams eah will get = 7.6
I hope im right!!
2. On the Internet, you find an Latin quiz with 10 matching vocabulary questions. Your 3 year old niece randomly matches the
words with the definitions. What is the probability that she makes 100 on the quiz?
Does the order matter? Yes -
This is a permutation
Will all of the words be matched? Yes -
Can we use factorials? Yes -
How many different ways can the answer key be arranged?
P(all correct)
(Enter your answer as a reduced fraction using/ for the fraction bar.)
Answer:
Assume that there is a Latin quiz with 10 matching vocabulary questions, and your niece try to match them randomly. Then, the probability that she gets the first item right is
1
10
since there is only one correct answer for this item out of 10 options. Now, the probability that she gets the second item right is
1
9
since there is only one correct option and there is only 9 options left to choose from. So, in a similar fashion, the probability that she will get the third item correct is
1
8
, the fourth item correct is
1
7
and so on. Therefore, the probability that she will match them all correctly (getting a 100 on the quiz) is equal to
1
10
⋅
1
9
⋯
1
2
⋅
1
1
=
1
10
!
=
1
3628800
Find the value of x
X =
Enter the number that belongs in the green box.
Please helpp me
Answer:
37
p=12
b=35
h=x=?
using pythagoras theorem,
h=✓p^2+b^2
x=✓12^2+35^2
x=✓144+1225
x=✓1369
x=37
A buoy is floating in the sea and can be seen from the top of a vertical cliff. A boat is travelling from the base
of the cliff directly towards the buoy. The top of the cliff is 142 m above sea level. The angle of depression
from the top of the cliff to the buoy is 40 degrees.
Answer:
169.23m
Step-by-step explanation:.
Let's calculate the base of the cliff. Using SOH CAH TOA identity
Height (opposite) = 142n
Angle of depression = 40°
Required
Base of the cliff
Tan theta = opposite/adjacent
Tan 40 = 142/x
x = 142/tan40
x = 142/0.8391
x = 169.23m
Hence the base of the cliff is 169.23m long
I need help with this question as well
Answer:
p = 42
area = 72
Step-by-step explanation:
p = 3 + 9 + 12 + 5 + 9 + 4 = 42
area:
3 × 4 = 12
5 × 12 = 60
12 + 60 = 72
good luck, i hope this helps :)
You and your family go out to eat at Avanti's. Find your total bill including food, drinks, tax, and tip. Your food and drinks total $43.15. How much will tax be if there is a 7.5% sales tax? If you want to leave a 15% tip, how much will you leave?
Answer:
Tax be if there is a 7.5% sales tax : $43.15 x 7.5% = $3.24
There is a 7.5% sales tax : $43.15 x 15% = $6.47
So the total amount you have to pay is : $43.15 + $3.24 + $6.47= $52.86
Step-by-step explanation:
Solve the equation x + 5 = 12. Show and justify each step you take to solve the equation. x + 5 = 12 Write the equation. = 12 x + 5 Х X = Coning is not nermitted.
Answer:
7
Step-by-step explanation:
x+5=12
x=12-5
x=7
N + 7 < -8 solve the inequality
Step-by-step explanation:
N + 7 < -8
N < -8 - 7
N < -15
MARK ME BRAINLISTWhat are the solutions to the inequality —8 + 12x > 4(5 + 2x)?
Answer:
7
Step-by-step explanation:
X>=7
We distribute and then transfer to the other side
∠A=angle, A, equals
^\circ
∘
degrees
Round your answer to the nearest hundredth.
Answer:
sorry .I don't understand .plz comment me a real question
Answer:
44.42
Step-by-step explanation:
5. In the equation: A = 900(1.05) 10. What does 1.05 represent? **
O 0.05% decay.
O 0.05% growth
05% growth
O 5% decay.
Answer:
I think it should be C 05% growth
16x+16x+13x=180
what are the angle measures for:16x,16x,and 13x?
Step-by-step explanation:
16x+16x+13x= 180
45x= 180
x= 4
16x= 64°
16x = 64°
13x= 52°
Which triangle is a 30°-60-90° triangle?
1st Triangle
2nd Triangle
3rd Triangle
Answer:
1st Triangle
Step-by-step explanation:
Help quick it due! Please hurry lol
Answer:
4 km
Step-by-step explanation:
2/3(6) = 4 km
I need help with my math practice problems
[tex] - \frac{1}{8} = \frac{7}{4} + \frac{3}{2} z[/tex]
PLS ANSWER ASAP IT’S DUE IN 10 MIN
Find the total surface area of the rectangular prism.
Work:
8 in
4 in
7 in
Answer:
232 in squared
Step-by-step explanation:
Find the area of one face and multiply it by 2
7 x 4 x 2=56
4 x 8 x 2=64
7 x 8 x 2=112
Add and you get 232
Answer:
232 in^2
Step-by-step explanation:
4*7=28*2=56 in^2
7*8=56*2=112 in^2
8*4=32*2=64 in^2
56+112+64=232 in^2
What is the value of r in the equation?
Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6
Answer:
the answer is 4
Step-by-step explanation:
that will be because this is the answer
Answer:
-4 I am just smart you are to <3
What is the equation of the line in y=mx+b format?
Answer:
it would be y=2x +4
Step-by-step explanation:
it's rise over run and the y into would be 4
Answer:
y = -1/2x + 4Step-by-step explanation:
Find your y-intercept, then find your slope. This line's slope is negative (you can see this because of the change in direction in which the line is heading).
Select the correct answer.
What is the simplified form of ( \ sqrt 45)?
A. ( \ sqrt 5)
B. ( \ sqrt 9.5)
C. ( 3\ sqrt 5)
D. ( 5\ sqrt 3)
Answer: C. [tex]\sqrt[3]{5}[/tex]
Step-by-step explanation: Plato/ Edmentum
The simplified form of square root 45 is 3√5. Therefore, the correct answer is option C.
The given number is √45.
The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Here, factors of 45 = 3×3×5
√45 = √3×3×5
= 3√5
Therefore, the correct answer is option C.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ6
look at pic thanks
then tell anser
Answer:
thanks for the points
Step-by-step explanation:
it's a lot not "alot" by the way thought you would like to know.
Margaret is planning a wedding reception. She wants to spend less than her budget of $4,991, and Margaret has already spen
$2,016. The meal price per guest is $25. How many guests, x, can Margaret invite to the reception and stay under budget?
Select the number line that includes the largest number of guests Margaret can invite without exceeding her budget.
Answer:
I'm pretty sure it's C.
Step-by-step explanation:
4,991 - 2,016 is 2975 for the amount of money she has left over after what she spent already. 2975 divided by 25 is 119 for the amount of guests she can serve.
the coefficient of 't' in (2t-5)^3 is
Answer:
8
Step-by-step explanation:
2^3 will be coefficient so 8
Angle 7 and angle 8 are complementary. angle 5 equals angle 8 and angle 6=29.
Answer:
Angle 7 + Angle 8 = 90°
Angle 5 = Angle 8
Angle 6 = 29°
I’ll love u forever if u help with this ASAP plzzzzzzz just zoom in if u can’t see it I don’t get it
The options are 19,200 , 17,600, 15,200, 12,000 I give crown ;-)
Answer:
15,200 ft^2
Step-by-step explanation:
The shape of the playground can be thought of as two rectangles.
The rectangle on the left side measures 2.5 inches by 3 inches.
The rectangle on the right side has a width of 1 inch. The length along the bottom side measures 4.5 inches - 2.5 inches = 2 inches
total area = LW + lw
total area = 3 in. * 2.5 in. + 2 in. * 1 in.
total area = 7.5 in. + 2 in.
total area= 9.5 in.^2
Now we need to convert to the actual area from the scale drawing area.
1 in. = 40 ft
9.5 in.^2 * (40 ft / in.) * (40 ft / in.) = 15,200 ft^2
Answer: 15,200 ft^2