Answer:
a) 34mi
b) 10mi
c) 44mi
d) by Calculating the amount of miles it would take John to go to school plus the amount of miles it would take Sara to go to school. Then add the sum of the amount of miles it took for both to go to school.
Step-by-step explanation:
a) explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]16^2+30^2=c^2[/tex]
[tex]256 + 900 = c^2[/tex]
[tex]c^2=1156[/tex]
[tex]\sqrt{1156}=34mi[/tex]
b) explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]6^2+8^2=c^2[/tex]
[tex]36+64=c^2[/tex]
[tex]c^2=100[/tex]
[tex]\sqrt{100} =10mi[/tex]
c) explanation: we already have all the data from John's house to Sara's House.
John's House to Sara's House = John's House to School + Sara's House to School.
Sara's House to School (Question #1) = 34mi
John's House to School (Question #2) = 10mi
34(mi) + 10(mi) = 44(mi)
d) explanation: explanation is on the answer
State if the two triangles are congruent.
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
Which side lengths do not form a right triangle?
a. 5, 12, 13
b. 10, 24, 28
c. 15, 36, 39
d. 50, 120, 130
Answer:
B.
Step-by-step explanation:
28 is not a multiple of 13.
What is the resulting ordered pair if the value of the independent variable is -1?
f(x)= -5x - 4x +2
A. (-1, 1)
B. (-1, 11)
C. (2,-6)
D. (1, -1)
WILL MARK AS BRAINLIEST
Answer:
B
Step-by-step explanation:
mulitiply by 2
4 - (x + 1) = 6
Someone please help :^:
Hope this helps please mark me brainliest
Answer:
x = -3
In the data set below, what is the mean absolute deviation? 3,1,9,9,7
Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados
Answer:14 m
Step-by-step explanation:
Dada
larga [tex]l=20\ m[/tex]
superficie [tex]A=280\ m^2[/tex]
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]
Por lo tanto, el ancho es de 14 m.
a) Complete the table of values for y = x2 - 4x
ONLY A THANKS
Find the range of the data.
The ages of kids playing at a park.
4,1, 3, 9, 6, 3, 2, 4
Range : ?
?]
Enter the number that helongs in the araon boy
Answer:
8
Step-by-step explanation:
write numbers in numerical order then subtract the highest number from the lowest number and you get the range.
(1,2,3,3,4,4,6,9)
9 - 1 = 8
Which theorem shows that ABC = DEF?*
Answer:
SAS Congruence TheoremStep-by-step explanation:
In ABC. In DEF
AB. = DE. (Given side)
<BAC. = <EDF. (Given side)
BC. = EF. (Given side)
Hence,
Triangle ABC is congruent to Triangle DEF by SAS Congruence Theorem.
Can someone help me?It's urgent and thank you!
Answer:
$575.71
Step-by-step explanation:
A = 960(1-.12)^4
A = 960(.88)^4
A =575.71
Answer:
$575.71
Step-by-step explanation:
100-12=88
(0.88)⁴×960= 575.707
i need help u guysss
Answer:
Step-by-step explanation:
3 = 1(1 + x)^4
let q = 1 + x
3 = q^4
ln(3) = 4 ln(q)
ln(3)/4 = ln(q)
.274 = ln(q)
q = e^.274 = 1.316
x = .316
Future amount = 48(1+.316)^4
Future amount = 143.96
Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)
Answer:
5x^2 - 3x -5
Step-by-step explanation:
You simplify the like terms
Remember to use distributive property to do the (7x-3x^2+5) part
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP PLSSS
Answer:
63
Step-by-step explanation:
mark me brainliest plzzz
[tex]\sf\purple{The\:value\:of\:x\:is\:63.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{3}{8} = \frac{x}{168} \\ \\ ✒ \: \frac{3 \times 168}{8} = x \\ \\ ✒ \: \frac{504}{8} = x \\ \\✒ \: 63 = x[/tex]
Therefore, the value of [tex]x[/tex] is 63.
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex] \frac{3}{8} = \frac{63}{168}\\ \\✒ \: 0.375 = 0.375 \\ \\✒ \: L.H.S.=R. H. S [/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is _____.
A)-11
B)-8
C)-5
D)10
Answer:
B
Step-by-step explanation:
firstly as we know that,
nth term of an A.P. is n= a1 + (n-1)d
here d is -3 so, A1 = 1-(-3) = 4
so, 5th term = 4 + ( 5-1)( -3) = 4 + 4(-3) = 4 - 12 = -8
so the answer is -8 which is option B.
Hope this answer helps. I got a little help from my tutors on Gauthmath app which is really good. you can check it out too. :)
Which are correct representations of the inequality –3(2x-5) <5(2 - x)? Select two options.
u x<5
. -6x-5 < 10 - X
0 -6x + 15 <10 - 5x
-3
--2
-1
0
2
3
5
to
6
7
-7
1-6
-5
-3 -2 -1 0
2
3
Answer:
Step-by-step explanation:
-6 and up going left
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula 1 =-
응
Calculate the lower bound and upper bound for Helen's value of it.
Give your answers correct to 3 decimal places.
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
Find the surface area of the prisms below to create a riddle then scan the qr code to answer the riddle round the nearest tenth if necessary
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the prisms and the riddle are not given.
The riddle aspect of the question cannot be attempted, else there are clues.
So, I will give a general rule on how to calculate the surface areas of prisms.
For rectangular prisms, the surface area is:
[tex]Area = 2*(Length * Width + Length * Height + Width * Height)[/tex]
For the attached rectangular prism, the area is:
[tex]Area = 2 *(10*11 + 11 * 15 + 10 * 15)[/tex]
[tex]Area = 2 *(425)[/tex]
[tex]Area = 850m^2[/tex]
For triangular prisms, the surface area is:
[tex]Area = L + 2 * B[/tex]
Where
[tex]L \to[/tex] Lateral Area
[tex]B \to[/tex] Base Area
The area of the attached triangular prism is:
[tex]L = (a + b + c) * h[/tex]
[tex]L = (6 + 8 + 10) * 12[/tex]
[tex]L = 24 * 12[/tex]
[tex]L = 288[/tex]
[tex]B = \frac{1}{2} * bh[/tex]
[tex]B = \frac{1}{2} * 6 * 8[/tex]
[tex]B = 24[/tex]
So, we have:
[tex]Area = L + 2 * B[/tex]
[tex]Area = 288 + 2 * 24[/tex]
[tex]Area = 288 + 48[/tex]
[tex]Area = 336ft^2[/tex]
help ill give brainliest too
Answer:
a
Step-by-step explanation:
I think so..
Natasha is 50 m due east of Michelle. Natasha walks 20 m due north, and Michelle walks 10 m due
south. Find the distance and bearing of Michelle from Natasha now.
Please use diagrams to explain.
Answer:
Let's define East as the positive x-axis and North as the positive y-axis.
If Michelle's initial position is (0, 0)m
We know that Nathasha is 50m due East of Michelle.
Then the position of Natasha is (50, 0)m
Now we know that Natasha walks 20m due North, then the new position of her's is:
(50, 0 + 20)m = (50, 20)m
While Michelle walks 10m due South (South would be the negative y-axis, then we subtract 10 meters)
Michelle's new position will be:
(0, 0 - 10)m = (0, -10)m
Now we want to know the distance and bearing of Michelle from Natasha.
First, remember that the distance between two points (a, b) and (c, d) is given by:
Distance = √( (a - c)^2 + (b - d)^2)
Then the distance between Michelle and Natasha is:
Distance = √( (50m - 0m)^2 + (20m - (-10m))^2)
Distance = √( (50m)^2 + (30m)^2) = 58.31m
Now to find the bearing you can see the image below:
Point B is Michelle's position and point A is Natasha's position.
To find the bearing, we can make a triangle rectangle as the one shown in the image:
Also remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus).
Where the opposite cathetus is the difference between the x-values of each position, this is:
opposite cathetus = 50m - 0m = 50m
And the adjacent cathetus is the difference between the y-values, this is:
adjacent cathetus = 20m - (-10m) = 30m
Then:
Tan(a) = 50m/30m
Tan(a) = 5/3
Now if we apply the inverse Tan function to both sides, Atan(x) we get:
Atan(Tan(a)) = Atan(5/3)
a = Atan(5/3) = 59°
So the bearing is of 59°.
PLEASE HELPPPPPPPPPPPPP MEEEEEEEEEEEE
Answer:
7/24
Step-by-step explanation:
two minuses make a +,
meaning this equation is basically
-1/12+3/8
find a common denominator by LCM.
8,16,24,32
12,24,36,48
they share 24
denominator is 24
12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9
-2+9/24
7/24
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter to your answer in the box
Simplify the expression (5)2.
25
-10
-25
10
Answer:
10
Step-by-step explanation:
5 (2) is the same as 5 × 2 which equals 10
Answer:
10Step-by-step explanation:
Given here,
(5)2
= 5 × 2.
= 10 (Ans)
a bag with 3 red marbles,4 blue marbles and 5 yellow marbles.what is the probability you draw a blue marble?
Answer:
4/12
Step-by-step explanation:
add up all the marbles, and take how many blue marbels there are and put both numbers in fraction form
When the outlier(s) are removed, how does the mean change?
The mean decreases by 1.9.
The mean increases by 2.4.
The mean increases by 1.9.
There are no outliers.
Answer:
The mean increases by 2.
Step-by-step explanation:
Find the volume of the triangular prism.
Answer:
18 i think
Step-by-step explanation:
HELP FAST TO WHOEVER CAN PLEASE !!
ming mile from his house to the library and 2/3 mile from the library to the grocery store. of 11/12 mile it he goes from his house to the library to the grocery store. It is 1/4 Brandon claims that he walks a total of Which of the following shows whether Brandon is correct and why or why not?
Answer:
Brandon is correct
Step-by-step explanation:
Brandon is running errands for his mother.
It is 1/4 mile from his house to the library and 2/3 mile from the library to the grocery store .
Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store.
Distance from his house to the library = 1/4 mile
Distance from the library to the grocery store = 2/3 mile
Total distance Brandon walks from his house to the library to the grocery store = Distance from his house to the library + Distance from the library to the grocery store
= 1/4 + 2/3
Make both 1/4 and 2/3 have the same denominator to be able to add
The lowest common multiple (LCM) of 4 and 3 is 12
Therefore,
1/4 + 2/3
= (3+8)/12
= 11/12
Total distance Brandon walks from his house to the library to the grocery store = 11/12 mile
I need help ASAP I wasn’t paying attention and lowkey forgot all of this
Answer:
35
Step-by-step explanation:
Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.
3-6x (34 divided by3º)2
Answer:
3^-6(81)^2=3^-6(6561)=9 which is 3^2