Answers
Step-by-step explanation:
first finding the area of the triangle by Heron's formula.
s=(a+b+c)/2, a=BC=5 unit, b=AC= 4√2unit, c=AB=7unit.
s=(5+4√2+7)/2 = (12+4√2)/2 =2( 6+2√2 )/2 = 6+2√2 unit .
Now, the Heron's formula : √s(s-a)(s-b)(s-c)
> √ (6+2√2)[(6+2√2)-5][(6+2√2)-4√2][(6+2√2)-7]
we have use √2's value ; 1.414 to simplify.
please simplify it with the help of calculator or doin it in a copy, because it is very difficult to share the full calculation. AFTER CALCULATION,
> √196.0000 > 14(units)².
Now, we know that the area of triangle is 14(units)². and another formula of finding the area of triangle is ½(base)(height). let the height be h.
Area = ½(base)(height)
=>14= ½(7)h. (after cross multiplication)
=>(14×2)/7=h. (after cancellation)
=>2×2=h.
=> 4units = h.
Therefore, CM that is the height is 4units.
I have every time written units because the unit is not given or you have not posted if given in the question you will write that unit only like cm or m anything like that.
Related Questions
please help !!!!!!!!!!!!!!1If x = –2, which number line shows the value of |x|? (1 point)
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 2 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to a point at 2 tick marks to the right of zero. A horizontal line is shown between the brackets, and 2 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to a point at 2 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 2 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 2 is written on the line.
Answers
Answer:
a number line is shown from negative 6 to positive 6 with increment of 1.
10. Writing to Explain Write an explanation for another student telling
him or her how to divide 2/3 by 1/6
Answers
9514 1404 393
Answer:
invert and multiply, oruse a common denominatorStep-by-step explanation:
There are two ways you can divide 2/3 by 1/6.
1) Division by a number is the same as multiplication by its reciprocal. The reciprocal of a fraction is the fraction obtained by swapping the numerator and denominator. So, division by 1/6 is the same as multiplication by 6/1.
2/3 ÷ 1/6 = 2/3 × 6/1
The result of this multiplication is the product of the numerators divided by the product of the denominators:
2/3 × 6/1 = (2×6)/(3×1) = 12/3 = 4
__
2) The fractions can be expressed with the same denominator. Then their quotient is the quotient of their numerators.
2/3 = 4/6
2/3 ÷ 1/6 = 4/6 ÷ 1/6 = 4 ÷ 1 = 4
Donna has d dimes and a quarters in her bank. How much money in cents does she have
Answers
Match each ecosystem role with the correct description.
1. break down dead material
predator
2. make food for ecosystem
decomposer
3. eat food made by others
producer
4. hunt and eat other consumers
consumer
Answers
Producer- make food for an ecosystem
Consumer- eat food made by others
Predator - hunt and eat other consumers
There is still controversy about whether or not Pluto should be considered a planet. Although planets are mainly defined by their orbital path (the condition that prevented Pluto from remaining a planet), the issue of size is something to consider. The table below lists the planets, including Pluto, and their approximate diameters in meters.
Planet Approximate Diameter (m)
Mercury 4.88 × 10^6
Venus 1.21 × 10^7
Earth 1.28 × 10^7
Mars 6.79 × 10^6
Jupiter 1.43 × 10^8
Saturn 1.2 × 10^8
Uranus 5.12 × 10^7
Neptune 4.96 × 10^7
Pluto 2.3 × 10^6
a. Name the planets (including Pluto) in order from smallest to largest.
b. Comparing only diameters, about how many times larger is Jupiter than Pluto?
Answers
9514 1404 393
Answer:
a) Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter
b) 62
Step-by-step explanation:
When all the numbers are in scientific notation, as these are, the numbers with the smallest exponent are smaller. If numbers have the same exponent, the number with the smaller mantissa is smaller.
a) least-to-greatest diameter, the order is ...
Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter
__
b) The ratio of diameters of Jupiter and Pluto is ...
(1.43×10^8)/(2.3×10^6) = 6.2×10^1 = 62
Jupiter's diameter is about 62 times that of Pluto.
_____
Additional comment
Your calculator or spreadsheet can work directly with numbers in scientific notation.
Which measurement is equivalent to 3 tablespoon or ½ fluid ounces?
Answers
Answer:
its teaspoons
Step-by-step explanation:
If there are 4 quarters in one dollar, how many quarters are in five dollars
Answers
20 Quarters
If each dollar has 4 quarters and your finding the amount for 5 dollars then multiply 4 by 5 to get 20 quarters total
En la tabla aparecen los datos correspondientes a la cantidad
de cuadernos vendidos por Carlos durante 30 días:
Determina la media aritmética, mediana y moda
Answers
Utilizando conceptos estadísticos, se encuentra que
La media es de 17.5 cuadernos vendidos.La mediana es de 17.5 cuadernos vendidos. La moda es de 17.5 cuadernos vendidos.La media viene dada por la suma del punto medio de cada intervalo multiplicada por su frecuencia relativa.
O sea, [tex]\frac{5 + 10}{2} = 7.5[/tex] multiplicado por [tex]\frac{3}{30}[/tex] hasta [tex]32.5[/tex] multiplicado por [tex]\frac{1}{30}[/tex]. Entonces:
[tex]M = 7.5\frac{3}{30} + 12.5\frac{7}{30} + 17.5\frac{10}{30} + 22.5\frac{8}{30} + 27.5\frac{1}{30} + 32.5\frac{1}{30}[/tex]
[tex]M = \frac{7.5(3) + 12.5(7) + 17.5(10) + 22.5(8) + 27.5 + 32.5}{30} = 17.5[/tex]
La media es de 17.5 cuadernos vendidos.
La mediana es el ponto medio de el intervalo en que la suma de las cuantidades [tex]f_c[/tex] ultrapassa lá mitad, o sea, 15.
[tex]3 + 7 = 10[/tex]
[tex]10 + 10 = 20[/tex]
Esto se dá en el intervalo de 15 à 20, que tiene ponto medio 17.5, o sea, 17.5 es la mediana.
La moda es el ponto medio de el intervalo con frequencia relativa mas grande.
En este problema, este intervalo es de 15 a 20, que tiene ponto medio 17.5, o sea, 17.5 también es la moda.
Un problema similar es dado en https://brainly.com/question/13202035
Q2.
Circle all the numbers that are greater than 0.6
0.5
0.8
0.23
0.09
0.67
Answers
Answer:
all but 0.5
Step-by-step explanation:
thus answer should be right
what is 1/3 as a present
Answers
331/3% 0.333... 1/3
2[x-3]+1=7.
Help me pls
Answers
Answer:
[tex]2(x - 3) + 1 = 7 \\ 2(x - 3) = 7 - 1 \\ 2x - 2 \times 3 = 6 \\ 2x - 6 = 6 \\ 2x = 6 + 6 \\ 2x = 12 \\ x = \frac{12}{2} = 6 \\ x = 6 \\ thank \: you[/tex]
Answer:
here,
2[x-3]+1=7
or, 2x-6=7-1
or,2x=6+6
or,x=12/2
hence the value of x =6
For three consecutive even integers, -4 times the sum of the first and third integers is 192. What is the middle integer?
Answers
Answer: Middle integer = -24
Step-by-step explanation: First understand the formula for finding three consecutive even numbers.
Formula used: -4(n+n+4)=192
Let's solve your equation step-by-step.
−4(n+n+4)=192
Step 1: Simplify both sides of the equation.
−4(n+n+4)=192
(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)
−4n+−4n+−16=192
(−4n+−4n)+(−16)=192(Combine Like Terms)
−8n+−16=192
−8n−16=192
Step 2: Add 16 to both sides.
−8n−16+16=192+16
−8n=208
Step 3: Divide both sides by -8.
−8n
−8
=
208
−8
n=−26
Now find the middle integer.
Formula used: n+n+2+n+4
-26+(-26)+2+(-26)+4
-26+(-24)+(-22)
Middle integer=-24
Answer:
-24
Step-by-step explanation:
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answers
Answer:
Zero solutions
Step-by-step explanation:
When you simplify the equation you get that 4x+2=4x+3. That is not equal so therefore it has zero solutions
Answer:
The only solution could be is if u had x as a variable, if not then you don't have a solution because you won't know what x is.
Step-by-step explanation:
pls help me adawdasdaw
Answers
7x-6x=-4-12+2
13x=-14
x=-14 divide 13
x=-14 over 13 put 14 over 13 in a fraction
Solve.
Four times a number is equal to the number increased by 21. Find the number.
The number is
Answers
Let x equal the number
Tip: Go step-by-step
4 times a number is translated to... 4x
Is equal to means =
to the number increased by 21 is... x+21
Your equation is: 4x=x+21
Subtract x from both sides
3x=21
Divide three from both sides
x=7
Check!
4(7) = 7+21
28=28!
Correct!
Have a nice day!!
Whoever answers get 108 points!
Write a 5 sentence Summary:
Describe the transformation that exist a negative is multiplied outside of the function.
Answers
Answer:
The negative sign outside the absolute value function causes a few different things when multiplied. When a negative is multiplied outside of the function, the transformation that exists will be a vertical reflection. A horizontal shift to the left 1 unit will happen because of g(x)=f(x+1). The graph will make a vertical shift down 2 units because of g(x)=f(x)−2. The value of (a) would be -1 and since it is less than 1, and it causes the graph to be wider because of vertical compression. Placing a minus sign outside absolute value bars gives you a negative result.
I hope this is what you were looking for and I hope it helps also you might need to recheck your answers on your paper. I will add a picture of my findings. Good Luck!
I don’t understand and is due at 11:59
Answers
Water flows into a tank at the rate of 3 litres per minute.
a. If the tank fills completely in 450 seconds what is the capacity of the tank in ml?
A hole is drilled in the bottom of the tank. Water flows out of the hole at a rate of 60 ml per second.
b. How long will the tank take to drain completely if the flow of water IN continues at the same rate?
Answers
Answer:
a) 22,500 b) 2250 seconds (or 37.5 minutes)
Step-by-step explanation:
a) There are 1000 ml in a liter.
Therefore, the rate of water flowing in can be 3000 ml per minute. To convert this into per second, we divide 3000 by 60.
This becomes 50 ml per second. If the tank fills in completely in 450 seconds, we multiply 50 by 450 to get how much water in ml was used to fill the tank completely. 50 times 450 = 22,500. Therefore, the capacity of the tank is 22,500.
b) Since water keeps flowing into the tank at a rate of 50 ml per second, and water flows out at a rate of 60 ml per second, we can define the rate flowing out of the tank as 10 ml per second.
Because the maximum capacity of the tank is 22,500 ml, we divide this by 10 ml (the rate flowing out) to get how many seconds it will take for the tank to drain out completely. 22,500 divided by 10 is 2250.
So, it will take 2250 seconds for the tank to drain completely. In minutes, this becomes 37.5 minutes.
Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)
Answers
Answer: Yes
Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.
rewrite the equation in Ax + By = C form. use integers for A, B, and C. y - 6 = -3 (x + 5)
Answers
Answer:
ok
Step-by-step explanation:
[tex] \sf \: {}[/tex]
Answer:
3x + y = - 9
Step-by-step explanation:
y - 6 = -3 (x + 5)
Distribute the -3
y - 6 = -3x - 15
Add 3x to both sides
3x + y - 6 = -15
Add 6 to both sides
3x + y = - 9
-------------------
A = 3
B = 1
C = -9
Sorry I for got the img
Answers
Answer:
1)3.87
2)6.63
3)9
Step-by-step explanation:
A/4 -5/6= -1/2
Pls help I don’t know this
Answers
Step-by-step explanation:
[tex] \frac{a}{4} - 1 \times \frac{5}{6} = \frac{ - 1}{2} \\ \\ \frac{a}{4} - \frac{5}{6} = \frac{ - 1}{2} \\ \\ \frac{a}{4} + \frac{4( \frac{ - 5}{6}) }{4} = \frac{ - 1}{2} \\ \\ \frac{a + 4( - \frac{5}{6}) }{4} = \frac{ - 1}{2} [/tex]
α = 4/3
i hope this help ^^
If x > 0 and y < 0, where is the point (x, y) located?
Answers
Answer:
In the forth quadrant, below and to the right of the origin.
x > 0 means it is to the right of the y axis
y < 0 means it is below the x axis.
Step-by-step explanation:
on the y axis
Step-by-step explanation:
thats nice what i think atleast sighhh e
Find the distance between the points A and B given below. NO BOTS OR ELSE REPORTED
Answers
Answer:
5 units
Step-by-step explanation:
Answer:
I think the answer is 7 units
Step-by-step explanation:
you would expect it to be 5 units, but because of the diagonal angle it adds a percentage off each unit
Drag and Drop question, please help!
Answers
0 hours
1/2 hours
1/2 hours
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3,5) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =
Answers
Step-by-step explanation:
the equation is
y = ax + b
a is the slope of the line. this is the ratio y/x indicating how many units y changes, when x changes a certain number of units.
so, when we go from A to B, x changes 2 units (from 3 to 5), and y changes -4 units (from 5 to 1).
so the slope is -4/2 = -2
now or equation looks like
y = -2x + b
to get b we use one of the points in the equation. e.g. B
1 = -2×5 + b = -10 + b
b = 11
so, our full equation is
y = -2x + 11
A cable company technician gave 3:00PM to 7:00PM as his arrival time. The arrival time is uniformly distributed. What is the probability that he arrives exactly at 4:00PM
Answers
The probability that the technician arrives exactly at 4:00 pm is 1/5.
What is probability?Probability is the chance of occurring a certain event out of the total no. of events that can occur in a given context. The probability of an event is always greater than equal to zero and less than equal to one.
If we distribute arrival time uniformly in terms of hours the no. of sample space N(s) = 5. (3:00pm, 4:00pm, 5:00pm, 6:00pm, 7:00pm).
∴ The probability that he arrives exactly at 4:00 pm is,
= 1/5.
The probability of arriving at 4:00 pm is 1/5.
learn more about probability here :
https://brainly.com/question/11234923
#SPJ2
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answers
Answer:
660.4 mm
Step-by-step explanation:
Since 1 inch is equal to 25.4 millimeters, we can multiply 25.4 by 26 to see how many millimeters 26 inches is. You can also think of this as a proportion:
26:x = 1:25.4
26.4 times 26 is equivalent to 660.4, so we can conclude that 26 inches are equivalent to 660.4 millimeters.
If you have any further questions or need clarification on anything, let me know!
HELP ME PLEASE
By which rule are these triangles congruent?
A)
MAS
B)
ASA
SAS
D)
SSS
Answers
Answer:
I brlive the answer is B.........
Answer:
The answer is C) ASA
Step-by-step explanation:
This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.
HELPPPPPPP PLZ ANSWERRRR QUICKKKKKK! WILL GIVE BRAINILEST :D
Answers
Answer:
A is the correct answer
Step-by-step explanation:
hope this helps