Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]
[tex]AB \approx 7.616[/tex]
BC
[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]
[tex]BC \approx 6.325[/tex]
AC
[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]
[tex]AC \approx 5.831[/tex]
Now we determine the area of the triangle by Heron's formula:
[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)
[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)
Where:
[tex]A[/tex] - Area of the triangle.
[tex]s[/tex] - Semiparameter.
If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:
[tex]s \approx 9.886[/tex]
[tex]A = 18[/tex]
The area of the triangle is 18 square units.
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue
As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10
Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10 = 1/25
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
24- Cada uma das letras, a, b, c e d, no diagrama abaixo, representa um único número de conjunto {√7, -9,0, 5/6}. Determine o valor que cada uma dessas letras representa
Answer:
i
no hablo español-by-step explanation:
What is the volume of this composite solid?
4 m
6 m
10 m
6 m
O A. 372 cubic meters
B. 144 cubic meters
Ο Ο Ο Ο
O C. 600 cubic meters
D. 480 cubic meters
Answer:
its D. 480 cubic meters for Ape.x
Step-by-step explanation:
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?
Answer:
16 inches
Step-by-step explanation:
The length of the side AC is 16 inches.
Calculation of the length of side AC:
Since
we know that two side lengths of a triangle as x and y (x greater than y), the third side z should satisfy the inequality
So, it can be like
x - y ≤ z ≤ x + y
Also,
The side lengths are x=17 and y=10,
So,
17 - 10 ≤ z ≤ 17 + 10
7 ≤ z ≤ 27
Therefore, the AC should be 16 inches.
learn more about length here: https://brainly.com/question/24545771
Answer this Quickly Please 50 points !!!!!!!!!!!!!!!
A seagull is flying in the sky 10 meters above sea level. Directly below the
seagull, a dolphin is jumping 2.5 meters above sea level. Directly below these
animals, is an octopus, swimming 10 feet below sea level. Select all the true
statements. *
10
k
S
vertical position (meters)
-5
-10
The difference in height between the seagull and the dolphin is -7.5 feet.
The difference in height between the seagull and the dolphin is 7.5 feet.
The difference in height between the dolphin and the octopus is -12.5 feet.
The difference in height between the dolphin and the octopus is 12.5 feet.
Which of these is a unit of density?
Please help.
Answer:
I think is C.
Step-by-step explanation:
Hope it's help you ❤️❤️❤️❤️❤️❤️❤️
Will give Brainliest, A car wash has a weekly ad in the local newspaper that is 2 inches wide and 4 inches high and costs $36.75 per week. The cost of each ad is based on its area. If the owner of the car wash decides to double the width and height of the ad, how much will the new ad cost?
Answer:
4+2+$36.75= $42.75
Step-by-step explanation:
4+2+36.75
6+36.75
42.75
Alternative Form
171/4,42 3/4
Answer:
4+2+$36.75=$42.75.
Step-by-step explanation:
6+36.75=42.75
Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77
Answer:
7^12
Step-by-step explanation:
if you are dividing the base numbers then you are subtracting the exponents
A child has a box of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 13/4. What is the probability of choosing a blue block?
Answer:
The answer is "0.2352".
Step-by-step explanation:
Given:
The chance of selecting a odds blue block [tex]= \frac{13}{4}[/tex]
[tex]=\frac{\text{Amount of unfavourable blue block evets} \ (13)}{\text{Amount of unfavourable blue block evets} \ (4)}[/tex]
total number of events are 13+4= 17
Calculating the probability of choosing the blue block
[tex]=\frac{\text{Amount of unfavourable blue block evets} }{\text{Amount of unfavourable blue block evets} } \\\\ = \frac{4}{17} \\\\ =0.2352[/tex]
HELPPP please!!! need answer fast, very confused
Answer:
I think D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its d
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
Round your answer to the nearest hundredth if necessary. A figure is shown. 8X 44.49 What is the measure, in degrees, of the shaded angle?
You can download answer here
tinyurl.com/wpazsebu
Find the value of x in the isosceles triangle shown below.
V74
V74
Answer:
C. x = 10
Step-by-step explanation:
By Pythagoras Theorem:
[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]
Answer:
C. x = 10Step-by-step explanation:
Use Pythagorean theorem.
(x/2)² = (√74)² - 7²(x/2)² = 25x/2 = √25x/2 = 5x = 10Correct choice is C
(10pts) find all the solutions to the equations.
Someone please please..help me I don’t want to fail this..
Step-by-step explanation:
hope it helps you........
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
Find two integers whose sum is -20 and product is 99
Answer:
Step-by-step explanation:
let the integers be x and y
x+y=-20
y=-20-x
xy=99
x(-20-x)=99
-20x-x²=99
x²+20x+99=0
x²+11x+9x+99=0
x(x+11)+9(x+11)=0
(x+11)(x+9)=0
x=-11,-9
when x=-11
-11+y=-20
y=-20=11=-9
when x=-9
-9+y=-20
y=-20+9=-11
so integers are -11,-9
Can someone help please!
Answer:
Step-by-step explanation:
extend the line on the 5ft side to create a triangle and a rectangle.
Area of a rectangle is l x b
10 x 4 = 40ft^2
Area of a triangle is 1/2 base x height
the height of the triangle will be 10 - 5 = 5ft
the base of the triangle will be 12 - 4 = 8
1/2 (8) x (5)
20ft^2
Total area = area of triangle + area of rectangle
Total area = 20ft^2 + 40ft^2
Total area = 60 ft^2
State the Postulate or Theorem
Answer:
7. Corresponding Angles Theorem
8. Alternate Interior Angles Theorem
9. Alternate Exterior Angles Theorem
10. Supplementary Angles Theorem
Step-by-step explanation:
PLEASE HELP...!!!!!!!!!!
Answer:
5 and 10
Step-by-step explanation:
You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.
So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that the height of the rectangle is 5 and the length is 10.
PLEASE HELP DUE AT MIDNIGHT
Answer:
268.1
Step-by-step explanation:
Area of Sphere =
[tex] \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi {4}^{3} \\ = 268.1 {units}^{3} (nearest \: tenth)[/tex]
3: Find the slope:
(2, 18), (4, 28)
What’s the slope ?
Answer:
5
Step-by-step explanation:
use the formula y2-y1/x2-x1 = 28-18/4-2=10/2=5
Answer: The slope is equal to 5.
Step-by-step explanation: Remember rise over run or y^1 - x^1/y^2 - x^2.
Hope that helps you :)
x: y = 8:1
Which is the correct equation?
A. y=8x
B. x=8y
C. y=7x
Answer:
B. x=8y
Step-by-step explanation:
X*1=y*8
X=8y
I hope so that i help you
Find the area and circumference of the circle from the problem to the left. h 14 in Area= Circumferencer
Answer:
r is 14÷2=7in
r is 7
area of circle is pie R square
22÷7×7×7
154 in
since area = circumference
154=154
hope it helps
Jenna's only source of income is from her job at a car wash, where she works 25 hours each week. She is paid $9.90 per hour. What is her net weekly income if she pays $30.70 in payroll tax each week?
Answer: 216.8$
Step-by-step explanation:
25 x 9.9 = 247.5
247.5 - 30.70 = 216.8
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets. *
A: 7.25a + 5.50s = 8 and a + s = 52.75
B: 7.25a + 5.50s = 52.75 and a + s = 52.75
C: 7.25a + 5.50s = 52.75 and a + s = 8
UMMMMMMMMMMMMMMM I don't know
5/x+4=9/x-8. Solve for x.
Answer: x = 1/3
Step-by-step explanation:
5/x - 9/x = -8 - 4
-4/x = -12
x = -4/-12
x = 1/3
Answer:
-19
Step-by-step explanation:
symbolab- a website that you enter an equation in and it solves it for you it's free and no videos or anything :)
A triangular prism and a plane cutting a triangular prism is shown which shape represents the cross section formed by the plane
Answer: Tringle
Step-by-step explanation:
I think
90% of what = 81,000
Answer:
90000
Step-by-step explanation:
Answer:
90,000
Step-by-step explanation:
81000=0.9*X
81000/0.9=X
X=90000
Hope this helps!