Answers
Answer:
a = 8
b = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
I've attached a picture of the 45-45-90 triangle's formula, which is the length of the hypotenuse = [tex]\sqrt{2}[/tex] times the length of a leg (one of the sides of the triangle).
So, applying this to your problem, if 4[tex]\sqrt{2}[/tex] if one of the legs of the triangle, the other leg, which is b , would be the same length.
b = 4[tex]\sqrt{2}[/tex]
To solve for a, you would have to multiply the leg by [tex]\sqrt{2}[/tex].
a = 4[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]
I would separate the 4 and the [tex]\sqrt{2}[/tex].
a = 4 x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]
a = 4 x [tex]\sqrt{2 *2}[/tex]
a = 4 x [tex]\sqrt{4}[/tex]
a = 4 x 2
a= 8
Related Questions
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answers
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answers
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answers
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answers
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
My friend needs some help
Answers
Answer: 6 Gallons per minute
Step-by-step explanation: 42 divided by 7 will get you 6
Answer:
6 gallons/minute
Step-by-step explanation:
42 gallons/7 minutes
= 6 gallons/minute
Which measure describes how much a sample mean varies when different samples are chosen?
A.
sample mean
B.
confidence interval
C.
standard error of the mean
D.
population mean
Answers
Answer: The answer is B
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x – 24y = 72
Answers
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form
What number would represent 56 feet below sea level?
Answers
Answer:
-56
Step-by-step explanation:
That is because the 56 is below sea level, not above it, so it would be negative 56
Hope that helps!
-56ft
Since it is BELOW sea level it would be considered a negative number. If it were ABOVE sea level then it would be a positive number. Another way to think about this:
Above Sea Level = +
Below Sea Level = -
Hope this helps and have a nice day.
-R3TR0 Z3R0
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
680 in^2
Step-by-step explanation: (find the surface area)
2(8 x 15 x 1/2) = 120
8 x 14 = 112
17 x 14 = 238
15 x 14 = 210
Answer:
This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest
Step-by-step explanation:
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answers
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
Find the point(s) of intersection, if any, between the circle and line with the equations given
Answers
Answer:
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
so the two points of intersection will be (1,3) and (-4,-2)
hope this helps!
7/4 x 1 = 7/4 x ?/? = 35/20
Answers
Answer:
5/5
Step-by-step explanation:
7/4 × 5/5 = 35/2
hole this helps
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answers
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
2) It is a subset of a line consisting of two endpoints and all the points in between.
a) Ray b) Line Segment c) Opposite Rays d) Congruent Segments
Answers
Answer:
b.line segment
Step-by-step explanation:
line segment is a piece and or part of a line having two end points
Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell
Answers
Answer:
Step-by-step explanation:
S and L are the number of small cups and large cups, respectively.
S + L = 150
L = 150 - S
1.25S + 2.50L = 265
1.25S + 2.50(150-S) = 265
1.25S - 2.50S + 375 = 265
S = 88
L = 150-S = 62
please helpp don’t know how to solve
Answers
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?
Answers
Answer:
11Step-by-step explanation:
to understand thisyou need to know about:factor theoremtips and formulas:if f(c)=0 then x-c is a factor of f(x)let's solve:according to the question
2(-1)³+9(-1)+k=0
=>2(-1)+9(-1)+k=0
=>-2-9+k=0
=>-11+k
therefore
k=11
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
Answers
Hope this helps
Ten years ago, Rapunzel's hair was 19 cm long. Now her hair is 20,193 cm long.
Approximately how many times as long is Rapunzel's hair now as it was ten years ago?
Answers
Answer:
1065. 1 * 10^3
Step-by-step explanation:
1 *10^3 = 1000Their wanting the ApproximationRound the number 78 to the nearest tenth
61
80
16
Answers
Answer:
The answer is 80
Step-by-step explanation:
78 is closer to 80
Answer:
the answer is 80
Step-by-step explanation:
it will be 80 because 78 is closest to 8
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answers
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answers
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an equation to determine the cost per box, b.
Enter the equation like this
___=___ ___
Please help, I will give you brainly
Answers
Answer: 5X +40 = 100
Step-by-step explanation:
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answers
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
What are the next three terms in the sequence 90, 84, 78,
72, ...?
Answers
Answer:
68, 62, 56
Step-by-step explanation:
Hope this helps :)
Answer:
after 72 its...
Step-by-step explanation:
66 , 60 , 54 ...
you are simply just subtracting 6 from every number.
ASAP PLEASE. What is the quotient?
five with an exponet of negative six over five to the power of 3.
5^-6/5^3
a. 1/5^9
b. 1/5^2
c. 5^2
d. 5^9
Answers
Someone help with the second question
Pleaseeeee
Answers
Answer:
Answer shown above.
Have a good day
ayudaaaa por favor es urgente
Answers
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
4- 6x= -44
4+ x = -2
Answers
Answer:
the first x=8 and the second x=-6
Step-by-step explanation:
I dont know how to do this pls help me
Answers
x = 36 Answer
By Pythagoras Theorem