What is the area of the following right triangle?
Answer:
30 square units
Step-by-step explanation:
The area of the given right triangle can be found a couple of ways:
Pythagorean theoremThe missing side length can be found using the Pythagorean theorem relation between the sides:
c² = a² +b²
13² = a² +5²
a² = 169 -25 = 144
a = √144 = 12
Then the area is ...
A = 1/2ab = 1/2(12)(5) = 30 . . . square units
__
TrigonometryThe angle at lower right can be found from the trig relation ...
Cos = Adjacent/Hypotenuse
cos(A) = 5/13
A = arccos(5/13) ≈ 67.38°
The area can be found from these side lengths and the angle:
A = 1/2bc·sin(A)
A = 1/2(5)(13)sin(67.38°) = 30 . . . square units
_____
Additional comment
The sine of the angle can be computed from the cosine using the identity ...
sin(x) = √(1 -cos²(x))
In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...
A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem
The number of oranges harvested from Jake's yard decreased by 5% from last year to this year. Jake used the following expression to find the number of oranges harvested this year, P, where C is the number oranges Jake harvested last year.
C - 0.05C = P
Select the correct interpretation for the given equation.
A. P is 95% of the amount harvested by Jake last year.
B. Is 5% of the amount harvested by Jake last year.
C. P is 5% of the amount harvested by Jake this year.
Answer:
Option A is correct.
Step-by-step explanation:
P = C - (5/100)C = (95/100)C = 95% of C
Hope this helps!
:)
help me you don’t have to explain!!
Answer:
option b ................
(Please help!!!) An aquarium holds 33.75 gallons of water. It has a length of 2 feet and a height of 1.5 feet.
What is the width of the aquarium?
________________________________________ (PLease show work step by step so I can understand it)
Answer:
3.3837891
Step-by-step explanation:
1 gallon is 0.133681cubic feet
33.75 gallon =4.5117188 cubic feet
volume =l*b*h
4.5117188=2*1.5*b
b=4.5117188/2*1.5
b=3.3837891
hope this helps
plzz mark me brainliest
33.75 gallons is about 4.5 cubic feet
4.5/2=2.25
2.25/1.5=1.5
1.5 is the missing side
Which statement is true about the circumference of a circle?
Answer:
A) The circumference is equal to the radius of a circle.
Step-by-step explanation:
Here are the options:
A) The circumference is equal to the radius of the circle.
B) The circumference is equal to the diameter of the circle.
C) The circumference is found by multiplying Pi by the radius.
D) The circumference is found by multiplying Pi by the diameter.
The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.
Which types of quadrilaterals have four congruent angles
Answer:
I'm gonna go with rectangle and square
Step-by-step explanation:
rectangle: 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
Square: 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.
The rectangle and square are the types of quadrilaterals that have four congruent angles. Then the correct option is A.
What is a quadrilateral?It is a polygon with four sides. The total interior angle is 360 degrees.
Types of the quadrilateral are as follows;
Square: All the angles of square are right angle that is 90°.Rectangle: All the angles of rectangle are right angle that is 90°.Rhombus: Opposite angles are same and adjacent angles are difference.Parallelogram: Opposite angles are same and adjacent angles are difference.Thus, the rectangle and square are the types of quadrilaterals that have four congruent angles.
Then the correct option is A.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
The two triangles illustrated below are similar. What are the values of x and y?
math question screen shot down below
Answer:
A
Step-by-step explanation:
If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add at the start.
Answer:
b+7,Option 1
Step-by-step explanation:
Let the number of buttons Cole had at first be a,
We know,now he has b buttons remaining which is 7 less than a
In other words,
a-7=b
or,a=b+7
BRAINLIEST!!!! PLZ HELP..
18. Identify the asymptotes of each function.
Answer:
x = 4, f(x) = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-4}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x - 4 = 0 ⇒ x = 4 ← is the vertical asymptote of f(x)
Since the degree of the denominator > degree of denominator
There is a horizontal asymptote at y = 0 , that is f(x) = 0
math question screen shot down below
Answer:
48
Step-by-step explanation:
100-52=48
Answer:
48
Step-by-step explanation:
1.First u have to order the numbers from least to greatest.
-52,58,66,71,72,79,82,84,85,94,98,100
2.Find the lowest number and the highest number.
-52 nd 100
3.Subtract the 2 numbers
100-52=48
Find the volume of the rectangular prism.
Formula: V = lwh
A.
84 m cubed
C.
72 m cubed
B.
89 m cubed
D.
92 m cubed
Answer:
84m³ (A) should be correct
Answer:
A
Step-by-step explanation:
Volume = length × width × height
= 7 × 4 × 3
= 84 m²
can someone please find the volume of this ?
Answer:
998.4 m to the 3rd power
Step-by-step explanation:
This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?
144 square inches
184 square inches
224 square inches
264 square inches
Answer: 224
Step-by-step explanation:
I did the calculations don’t worry
Answer:
the person above me is correct
Step-by-step explanation:
Is 4by + 2b - by a binomial or a trinomial
Answer:
binomial
Step-by-step explanation:
4by + 2b - by
Combine like terms
3by +2b
This is a binomial since it has 2 terms
The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
Answer: 6
Step-by-step explanation:
16x + 4 = 15x + 10
X = 6
Find the area of this triangle pls help
Answer:
the area would be 15 square units.
All you have to do is find the length and the height from the points given.
Step-by-step explanation:
V62 is between what pair of consecutive integers?
10 and 11
8 and 9
7 and 8
6 and 7
Answer:
7 & 8.
Step-by-step explanation:
√62 = 7.87400787401.
Which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28
A) (-3,-2)
B) (-2,-3)
C) (0,4)
D) (4,0)
the environment club is electing a president, vice president, and treasurer. how many different ways can the officers be chosen from the 6 members?
Answer:
2 ways.
Step-by-step explanation:
6/3=2
what are the pods against selecting a red marble?
A bowling alley charges $3 per shoe rental and $4 per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
Answer: $36
Step-by-step explanation:
3 times 2 times 2 = 12
4 times 2 times 3 = 24
add 12 and 24
answer = $36!
Which graph represents this system?
3x+2y=-6
y=-x+2
2
Answer:
Look at the attched image
Hope it helped, mark as brainliest please :)
What is the perimeter of an optician
Answer:
Depends on their size, higher, and width.
Step-by-step explanation:
HELP!!!!!!!!!
Plz Show working:)
Step-by-step explanation:
Hope this help you !! ;))answer of (ii) : perimeter = 66m
area = 272m^2
Which is the graph of g(x) = [X + 3]?
Answer
D or the fourth one because i took the quiz and got it right
How many ways can you plant 15 flowers from a group of 36 flowers?
Answer:
30.
Step-by-step explanation:
You could do 15 times the amount by 2 then add 6.
To multiply two fractions, multiply the numerator by the numerator
and the denominator by the
RETRY
Answer:
multiply the numerator by the other numerator and denominator by the other denominator
1/2×2/4=2/8=1/4
HOPE YOU FOUND IT HELPFUL , PLEASE MARK AS BRAINLIEST
does anyone know this ????
Answer:
What exactly is the question asking? Is that the full question? The answer is 20
Step-by-step explanation:
Answer:
20 sq units
Step-by-step explanation:
are the selection independent or dependent?
Answer:
Independent
Step-by-step explanation:
The probability of a certain event A occurring is 3:5, the probability of event B occurring is 2:5, and the probability of them occurring together is 6:25. What is true about the two events?
A.Event A is dependent on event B.
B.Event B is dependent on event A.
C.Events A and B are independent events.
D.Events A and B are mutually exclusive.
Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation: