Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
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A flagpole is propped on the east side corner of the roof of a building. The angle of depression from the top of the flagpole (Angle B) to a point on a neighboring building is 54 degrees. The angle of depression from the bottom of the flagpole (Angle A) to that same point on the building is 41 degrees. The distance from the edge of the building with the flagpole to the point on the neighboring building is 1660 feet (x). What is the height of the flagpole to the nearest tenth
Answer:
The height of flag pole is 841.8 ft.
Step-by-step explanation:
Let the height of the flag post is h.
x = 1660 ft
According to the triangle, ABC
[tex]tan 41 = \frac{y}{1660}\\\\y = 1443 ft[/tex]
Now According to the triangle ABD
[tex]tan 54 = \frac{h + y }{1660}\\\\h + 1443 = 2284.8\\\\h = 841.8 ft[/tex]
Please help me with the explanation
9514 1404 393
Answer:
C
Step-by-step explanation:
The ratio of highest-degree terms gives the horizontal asymptote:
(-2x)/(x) = -2
The horizontal asymptote of this function is y = -2. The only graph that shows that is graph C.
4(6*9)+90=?
PLS CAN SOMEONE HELP ME
Answer:
306
Step-by-step explanation:
6*9=54
54*4=216
216+90=306
How to solve an inequality for example 4x<24
what is y=2x*2-6x-8 as a graph
Answer:
[tex] \bf \: y = 2 {x}^{2} - 6x - 8[/tex]
It is equation of a parabolla.
It is to be noted that the graph of y = 2x * 2-6x-8 which when simplified is y = -12x² - 12x. is attached accordingly.
What are the qualities of the graph of y = -12x² - 12x?The graph of y = -12x² - 12x is a downward-opening parabola.
It has a concave shape and its vertex is the highest point on the graph. The axis of symmetry is a vertical line passing through the vertex.
The graph may intersect or be tangent to the x-axis at two points, one point, or no points, depending on the discriminant.
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someone please help!!
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
Vina is asked to graph this system of equations:
2x - 4y = 3
7y - 5x = 8
How many times will the lines intersect?
A. There is no way to tell without graphing the lines first.
B. The lines will intersect once, because this system has one
solution.
C. The lines will intersect infinitely many times, because they are
identical.
D. The lines will not intersect, because this system has no solutions.
Answer:
Option B
Step-by-step explanation:
You'll find one solution for this, so this system has one solution
Answer:
B.
Step-by-step explanation:
Just did it and got it correct
please tell me the angle of elevation
Answer:
32°
Step-by-step explanation:
The model forms a triangle. The sum of the angles of a triangle is 180°. Solve with the following equation:
? + 90 + 58 = 180
? + 148 = 180
? = 32
Therefore, the angle of elevation is 32°.
The sum of the cubic powers of three rational numbers is -1009. The ratio between the first number and the second number is 2/3, and the ratio between the first number and the third number is 4/9. Find those numbers
Given:
The sum of the cubic powers of three rational numbers is -1009.
The ratio between the first number and the second number is [tex]\dfrac{2}{3}[/tex].
The ratio between the first number and the third number is [tex]\dfrac{4}{9}[/tex].
To find:
The three numbers.
Solution:
Let [tex]x,y,z[/tex] be the three numbers, then
[tex]x^3+y^3+z^3=-1009[/tex] ...(i)
[tex]\dfrac{x}{y}=\dfrac{2}{3}[/tex]
[tex]3x=2y[/tex]
[tex]\dfrac{3}{2}x=y[/tex] ...(ii)
[tex]\dfrac{x}{z}=\dfrac{4}{9}[/tex]
[tex]9x=4z[/tex]
[tex]\dfrac{9}{4}x=z[/tex] ...(iii)
Using (i), (ii) and (iii), we get
[tex]x^3+\left(\dfrac{3}{2}x\right)^3+\left(\dfrac{9}{4}x\right)^3=-1009[/tex]
[tex]x^3+\dfrac{27}{8}x^3+\dfrac{729}{64}x^3=-1009[/tex]
[tex]\dfrac{64+216+729}{64}x^3=-1009[/tex]
[tex]\dfrac{1009}{64}x^3=-1009[/tex]
[tex]x^3=\dfrac{-1009\times 64}{1009}[/tex]
On simplification, we get
[tex]x^3=-64[/tex]
[tex]x^3=-4^3[/tex]
[tex]x=-4[/tex]
Substituting [tex]x=-4[/tex] in (ii), we get
[tex]\dfrac{3}{2}(-4)=y[/tex]
[tex]-6=y[/tex]
Substituting [tex]x=-4[/tex] in (iii), we get
[tex]\dfrac{9}{4}(-4)=z[/tex]
[tex]-9=z[/tex]
Therefore, the three numbers are -4, -6 and -9 respectively.
Can someone help me with this
Answer:
Step-by-step explanation:
The standard form for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,
[tex](x-(6))^2+(y-(-3))^2=25[/tex] which tells us that our center is
6 and -3 -------------------> (6, -3)
The radius is the square root of 25 which is 5.
factorize:
a)x³-3x²+2x-6-xy+3y
b)mn-mx-n+x
[tex]\displaystyle \Large \boldsymbol{} a) \ \underline{x^2-3x}+\underline{2x-6}-\underline{xy+3y}=\\\\\\x(x-3)+2(x-3)-y(x-3)=\boxed{(x-3)(x-y+2)} \\\\\\b) \ mn-mx-n+x=m(n-x)-(n-x) =\boxed{ (m-1)(n-x)}[/tex]
How many terms are in the following geometric sequence? Type your numerical answer only. Do not type any additional characters.
0.0625, 0,25, 1, 4194304
Given:
The given geometric sequence is:
0.0625, 0.25, 1, ..., 4194304
To find:
The number of terms in the given geometric sequence.
Solution:
We have,
0.0625, 0.25, 1, ..., 4194304
Here, the first term is 0.0625 and the common ratio is:
[tex]r=\dfrac{0.25}{0.0625}[/tex]
[tex]r=4[/tex]
The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a_n=4194304, a=0.0625, r=4[/tex] in the above formula, we get
[tex]4194304=0.0625(4)^{n-1}[/tex]
[tex]\dfrac{4194304}{0.0625}=(4)^{n-1}[/tex]
[tex]67108864=(4)^{n-1}[/tex]
[tex]4^{13}=(4)^{n-1}[/tex]
On comparing both sides, we get
[tex]13=n-1[/tex]
[tex]13+1=n[/tex]
[tex]14=n[/tex]
Therefore, the number of terms in the given geometric sequence is 14.
how do i find the length of VN
Answer:
30
Step-by-step explanation:
let the length of VN be x
VNB ~ VMD
VN/VM = BN/DM
x/(30+x) = 12/24
24x=12(30+x)
24x=360+12x
12x=360
x = 30
What are the coordinates of P?
(b,0
a,0
0,a
0,b
Answer:
a,0
Step-by-step explanation:
Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).
Hellllpppppp please?????
Answer:
∠ 1 = 65°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5x - 10 is an exterior angle of the triangle, then
5x - 10 = 3x + 40 ( subtract 3x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
The sum of the 3 angles in a triangle = 180° , so
∠ 1 + 40 + 3x = 180°
∠ 1 + 40° + 3(25) = 180°
∠ 1 + 40° + 75° = 180°
∠ 1 + 115° = 180° ( subtract 115° from both sides )
∠ 1 = 65°
please help! look at picture!
Answer:
[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Step-by-step explanation:
2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]
1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]
[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.
Hope this helps!
the item to the trashcan. Click the trashcan to clear all your answers,
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
hypotenuse
50
S
h
O
r
t
30
long
Short = 2
Long -
00
3
7
12345678910123 + = xylab
NEXTLOUESTION
ASK FORHISP
TURNITIN
Answer:
long is rt3
short is 1
hypotenuse is 2
Step-by-step explanation:
in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'
write the equation in standard form. y=4/7x+3
Answer:
4x-7y = -21
Step-by-step explanation:
1. Move 4/7x to the other side
-4/7x+y=-3
2. Multiply both sides by -7
4x-7y=-21
3x-7y=28 is it in standard form
TIMED PLEASE HELP EDGE 2021
rationalize the denominator of 7+3√2
Answer:
31
Step-by-step explanation:
To rationalise 7 + 3[tex]\sqrt{2}[/tex] , multiply by its conjugate
The conjugate of 7 + 3[tex]\sqrt{2}[/tex] is 7 - 3[tex]\sqrt{2}[/tex] , then
(7 + 3[tex]\sqrt{2}[/tex])(7 - 3[tex]\sqrt{2}[/tex]) ← expand using FOIL
= 49 - 21[tex]\sqrt{2}[/tex] - 21[tex]\sqrt{2}[/tex] - (3[tex]\sqrt{2}[/tex])²
= 49 - 18
= 31
Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
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How much should 5x³+3x²-2x+1 be increased to get 6x² +7
Answer:
-5x³ + 3x³ + 2x + 6
Step-by-step explanation:
if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :
what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?
the answer is
6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =
= -5x³ + 3x³ + 2x + 6
help please help asap :)
Answer:
4x^3
Step-by-step explanation:
20 x^5 + 28 x^4 + 12x^3
4*5*x^5 + 4*7*x^4 + 4*3*x^3
Factor out 4x^3
4x^3 ( 5x^2 + 7x +3)
Please Factor m^2-8m^5
Answer:
Use the diffrence of cubes formula
Step-by-step explanation:
a^3-b^3=(a-b)(a^2+ab+b^2) where a = 1 and b = 2m
m^2(1-2m)(1+2m+4m^2)
steps to describe an inscribed regular hexagon.
Answer:
many sides
unique shape
PLSSS HELP MEE
Equation: c = n
Is there any way for this equation to be true? How?
Step-by-step explanation:
if
c = 3 + 6 = 9
and
n = 4 + 5 = 9
then it could be true
The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
Whats the chance of rolling the correct number 1-6500
When every time you guess a number the number changes
So if i guess 800 every time how many guesses to get the correct number
Answer
I don't know the correct answer but I can give you technique. Count the number of guesses above would give you 10, which is our answer to the maximum number of guesses to find a number between 1 and 1000.
pls solve pllsssssssssss
Answer:
Step-by-step explanation:
find the interquartile range for a data set having the five-number summary: 3.1,9.8,16.1,22.9,28.1
Answer:
Step-by-step explanation:
Steps:
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer: 13.1
Step-by-step explanation:
