Answer:
9 sqrt(5)
Step-by-step explanation:
La altura relativa a la hipotenusa corta la hipotenusa en dos segmentos.
Defina x como
x = la longitud de uno de esos segmentos
Entonces, la longitud del otro segmento = 15 - x.
Entonces, por el teorema, tenemos que (15-x) (x) = 36, de modo que
15x - x ^ 2 = 36
x ^ 2 - 15x + 36 = 0
(x-3) (x-12) = 0
Entonces, x = 3 o x = 12.
Sin pérdida de generalidad. sea x = 3.
Entonces, la suma de las dos piernas es
raíz cuadrada (6 ^ 2 + 3 ^ 2) + raíz cuadrada (12 ^ 2 + 6 ^ 2) =
raíz cuadrada (36 + 9) + raíz cuadrada (144 + 36) =
raíz cuadrada (45) + raíz cuadrada (180) =
raíz cuadrada (9 * 5) + raíz cuadrada (36 * 5) =
3 raíz cuadrada (5) + 6 raíz cuadrada (5) =
9 cuadrados (5)
in triangle ABC shown, DE || AC. What is the length of AC?
Answer:
AC = 20
Step-by-step explanation:
Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BA}{BD}[/tex] , substitute values
[tex]\frac{AC}{8}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )
4AC = 80 ( divide both sides by 4 )
AC = 20
In the triangle ABC if DE is parallel to AC then the length of AC is 12 units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that the triangles ABC and BDE are similar triangles.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation by comparing the proportional sides.
AC/DE=AD/BD
AC/8= 6/4
Apply cross multiplication
AC=48/4
Divide numerator and denominator by 4.
AC=12
Hence, in the triangle ABC if DE is parallel to AC then the length of AC is 12 units.
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Can anyone figure this out? NO LINKS OR FILES
Answer:
a) growing
b) 5% per year
c) $11819.64
Find the domain and range, and is it a function?
5/8 - 2/9 × 3/8 fraction simplify quick please
We had a revision and I forgot can you help me
Answer:
ans is 13/25
Step-by-step explanation:
hope it helps!!!
What is the length of the outside of a circle called
Answer:
The distance around a circle on the other hand is called the circumference (c).
Step-by-step explanation:
A straight line that passes from one side of a circle to the other through the center is called the diameter. The distance around the outside of a circle is called the circumference. All points on the edge of a circle are the same distance to the center.
The length of the outside of a circle is called the "circumference."
The circumference is the total distance around the outer boundary of the circle.
The distance cover while completing one full lap around the track is equivalent to the circumference of the circle.
The formula to calculate the circumference (C) of a circle is:
C = πd
where π (pi) is a mathematical constant equal to 3.14159, and d represents the diameter of the circle.
The formula for circumference in terms of the radius is:
C = 2πr
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which answer is the simplest form of the expression.
Answer:
yellow box
Step-by-step explanation:
Answer:
c or the orange option. m^2n/2
Step-by-step explanation:
i hope this helps :)
Graph the equation y=-x^2-12x-35y=−x 2−12x−35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
please help and explain I'm very confused and I have no idea what to do.
The graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.
To find the x-intercepts, we can set y=0 and solve for x:
0 = -x² - 12x - 35
Using the quadratic formula, we get:
x=-b±√b²-4ac/2a
x=12±√144-140/2(-1)
x=12±√144-140/(-2)
x=12±2/(-2)
The x-intercepts are approximately x=-7 and x=-5
To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:
x = -b / 2a = -(-12) / 2(-1) = 6
y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107
So the vertex is at (6, -107).
Hence, the graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
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Solve:3x+3y=27 and its algebra
Answer: X=9-y
Step-by-step explanation:
Answer:
x = 9 - y
y = 9 - x
Step-by-step explanation:
Solving for X:[tex]3(x + y) = 27[/tex]
[tex]x + y = \frac{27}{3} [/tex]
[tex]x + y = 9[/tex]
[tex]x = 9 - y[/tex]
Solving for Y:[tex]3(x + y) = 27[/tex]
[tex]x + y = \frac{27}{3} [/tex]
[tex]x + y = 9[/tex]
[tex]y= 9 - x[/tex]
Hence, the answer for x is x = 9 - y and the answer for y is y = 9 - x.
The figure shown is made up of a triangle and a square. The perimeter of the figure is 56 inches. Complete
the description to find the area of the figure.
10 in.
8 in.
10 in.
The total length of three sides of the square is in., so the side length of the square is
in. The area of the triangle is in?, and the area of the square is in?, so the total area is
Image of figure is missing so i have attached it.
Answer:
The total length of three sides of the square = 36 in
Side length of square = 12 in
A_triangle = 48 in²
Area of square = 144 in²
Total area of figure = 192 in²
Step-by-step explanation:
Total perimeter = 56 inches
Let the side of the square be s.
Thus, perimeter of the 3 sides of the square = 3s
Therefore, adding all the external sides of the figure, we have;
3s + 10 + 10 = 56
3s + 20 = 56
3s = 56 - 20
3s = 36
s = 36/3
s = 12
Area of triangle is given by the formula;
A_triangle = ½bh
Where;
b is base
h is height
Thus;
A_triangle = ½ × 12 × 8
A_triangle = 48 in²
Area of square = 12 × 12 = 144 in²
Total area of figure = 144 + 48 = 192 in²
Find the area of a small piece of land 23m wide and 34m long
A
a.782m
b.114m
c.782m2
d.114m2
Answer:
Its C
Step-by-step explanation:
23 times 34 is 782 and since its a square you add the 2
Use the figure to find the measures of the numbered angles.
1 = 61° because it is a corresponding angle to angle 6
2 = 119° because it is an alternate exterior angle to angle 7
3 = 61° because it is an alternate angle to angle 1
4 = 119° because it is an alternate angle to angle 2
5 = 119° because it is an alternate angle to angle 7
6 = 61° because is is an alternate angle to 61°
7 = 119° because it and 61° are supplementary angles (total 180° together)
Answer:
1 = 61° because it is a corresponding angle to angle 6
2 = 119° because it is an alternate exterior angle to angle 7
3 = 61° because it is an alternate angle to angle 1
4 = 119° because it is an alternate angle to angle 2
5 = 119° because it is an alternate angle to angle 7
6 = 61° because is is an alternate angle to 61°
7 = 119° because it and 61° are supplementary angles (total 180° together)
Step-by-step explanation:
anything helps this is the last one
Answer:
i am pretty sure it's a.
Step-by-step explanation:
i hope this helps :)
Answer:
it's -2sqrt7
the first answer
Step-by-step explanation:
pls mark me brainliest!
Can someone please help me :) ❗❗❗❗❗
Answer:
the third option
Step-by-step explanation:
when X is negative f(x) is positive. and when f(x) is negative x is positive
"They kept on talking and kept on ooohing and aahing and Grandma Sands kept on interrupting breakfast..." is an example of... *
personification
allusion
metaphor
onomatopoeia
Answer:
onomatopoeia
Step-by-step explanation Onomatopia is when the author uses sounds in their writing. In this case ooohing and ahhing were the sounds.
help me out thank you so much whoever does!!
Answer:
oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°
Answer:
b=59º
Step-by-step explanation:
Vertical angle theorem states that if angles are vertical, they are congruent.
first one that gets it correctly gets branlyest
Answer:
200 in2
Step-by-step explanation:
diameter= 15 in. so raduis = 15/2
area of circle = πr2
= 22/7 * 15/2 *15/2
= 176.79
rounding to the nearest 100, its 200 in2
PLEASE ANSWER THESE! I WILL GIVE BRAINLIEST!! YOU NEED TO Solve each equation. Find the missing number by step by step!
Answer:
Where is the image to the equations?
Step-by-step explanation:
Answer:
there's no picture???
Step-by-step explanation:
Please help, this question makes no sense
Answer:
5.4 units
Step-by-step explanation:
The diagonal AC has length
|AC| = √(2² + 5²) = √29 ≈ 5.4 units.
The horizontal distance from A to C is 2 units; the vertical distance is 5 units. That's where the 2² and 5² come from.
According to the US Census, the percent of residents aged 65 or older in the 50
states and District of Columbia has mean 13.26% and standard deviation of
1.67%. Find and interpret the standardized scoreſfor the state of Colorado, which
had 9.7% of residents age 65 or older. *
Answer:
z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean.
Step-by-step explanation:
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean
If tan 0=5/12 and sin 0>0, then cos 0=?
A -5/13
B 12/13
C 13/12
D -12/13
Answer:
B. 12/13
Step-by-step explanation:
Hypotenuse= [tex]\sqrt{(5)^{2}+12^{2} } \\[/tex]
hypotenuse=13
opposite= 5
adjacent= 12
Cosine= adjacent/hypotenuse
cosine= 12/13
find the missing number so that the equation has infinitely many solution
2x + __= -4( x - 2) +6x
Answer:
8
Step-by-step explanation:
-4x+8+2x
2x+8
compare both sides
2x+__= 2x+8
it is 8
help solve pls””/“/“/“
Answer:
[tex]p(11)=626[/tex]
Step-by-step explanation:
Substitute the value (p(11)) into the function and evaluate by solving. Do not forget to follow the order of operations. The order of operations is the steps one must do operations in an equation in order to get a valid result, they are the following,
1. Parenthesis
2.Exponent/Radicals
3.Multiplication/Division
4.Addition/Subtraction
[tex]p(x)=5(x^2+1)+16[/tex]
Substitute,
[tex]p(11)=5((11)^2+1)+16[/tex]
Simplify,
[tex]p(11)=5(121+1)+16[/tex]
[tex]p(11)=5(122)+16[/tex]
[tex]p(11)=610+16[/tex]
[tex]p(11)=626[/tex]
The conversion of stored potential energy into kinetic energy can also be harnessed to power homes, factories and entire cities. Which example from the text supports this conclusion?
A the softball pitcher
B the slingshotting comet
C the archer
D the Hoover Dam
NO BOTS or SCAM PLS
A block is pulled 0.9 m to the right in 2.5 seconds. What is the blocks average speed?
Answer:
Step-by-step explanation:
speed=distance /time=0.9/2.5=90/25=3.6 m/s
Put these numbers in order from least to greatest.
1/2 1/3 2/5 0.6 0.3
Least
Greatest
0.6, 0.3 2/5, 1/3 1/2 ( I believe)
Step-by-step explanation:
good luck !!!
PLEASE HELP. I will mark branliest
Answer:
28
Step-by-step explanation:
find the value of tan30+cot30+sin60
Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].
For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].
The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.
[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.
[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]
The sine value of a point will be the [tex]y[/tex] value of the point.
[tex]\frac{\sqrt{3}}{2}[/tex]
So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]
Now we have to find the LCD to add these together, which in this case would be 6.
[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]
Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.
Hope this helps!
3z+4 z=5 help please?
Answer:
z=19
Step-by-step explanation:
3(5)=15
15+4=19
Mark me Brainliest?
Answer: z = 5/7
Step-by-step explanation:
For which of the inequalities below is v = 4 a solution?
A v + 5 ≥ 9 B v + 5 ≤ 8
C v + 5 < 8 D v + 5 > 9
Step-by-step explanation:
You can use this app is call symbols and it's completely free.
Hope this helps
The perimeter of a square is given as 8x+20 expression
Answer:
wow that hard even i dont know how to do that
Step-by-step explanation:
sorry