Answer:
They are equal
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
5
4
Answer:
x = √29Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 4/2 = 2
b = 5
c = x
plugin values into the formula:
2² + 5² = x²
x = √(2² + 5²)
x = √29
The length of the side x of the isosceles triangle is x = √29 units
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
The measure of side AB = AC = x
The measure of BC = 4 units
Now , let AD be the perpendicular bisector of the triangle and AD = 5 units
where the measure of BD = measure of CD
And , right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the measure of x = √ ( AD )² + ( BD )²
x = √ ( 25 ) + ( 4 )
x = √29 units
Hence , the length of side of triangle is x = √29 units
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I would appreciate if someone could solve this problem and explain it :)
Ps. I will give a brainless also :)
Answer:
Step-by-step explanation:
Givens
C is the midpoint of AE
D is the midpoint of BE
DC is given as 46
Remark
Triangle CED is similar to AEB by SAS for similarity
Therefore DC is 1/2 the size of AB
Solution
1/2 AB = DC
1/2 AB = 46 Multiply both sides by 2
AB = 2*46
AB = 92
Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to the nearest tenth of cubic inch.
Answer:
155.3"^3
Step-by-step explanation:
the volume of a cone: 1/3 [tex]\pi[/tex]r^2 h
the volume of a right circular cone will be
1/3 [tex]\pi[/tex](5.1)^2 * 11.4
310.60 for a full circular cone.
for a right circular cone, we use 90/180 of the volume.
= 155.3
The volume of the cone is 121.8 in³.
A cone is a 3-dimensional shape that consists of a flat circular base and a tip known as the vertex.
Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h
Where:
π = pi = 22/7
r = radius
h = height
Volume = [tex]\frac{1}{3}[/tex] x 22/7 x 5.1² x 11.4 = 121.8 in³
To round off to the nearest tenth, if the hundredth figure is greater or equal to 5, add to the tenth figure, if this is not the case, the tenth figure remains unchanged.
To learn more about how to determine the volume of a cone, please check: https://brainly.com/question/14273451
Enter the exact product of 5.21x 7.3
How do you determine the area under a curve in calculus using integrals or the limit definition of integrals?
Answer:
Please check the explanation.
Step-by-step explanation:
Let us consider
[tex]y = f(x)[/tex]
To find the area under the curve [tex]y = f(x)[/tex] between [tex]x = a[/tex] and [tex]x = b[/tex], all we need is to integrate [tex]y = f(x)[/tex] between the limits of [tex]a[/tex] and [tex]b[/tex].
For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:
[tex]A=\int _a^b|f\left(x\right)|dx[/tex]
= [tex]\int _{-2}^2\left|x^2-4\right|dx[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]
solving
[tex]\int _{-2}^2x^2dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}[/tex]
[tex]=\left[\frac{x^3}{3}\right]^2_{-2}[/tex]
computing the boundaries
[tex]=\frac{16}{3}[/tex]
Thus,
[tex]\int _{-2}^2x^2dx=\frac{16}{3}[/tex]
similarly solving
[tex]\int _{-2}^24dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=\left[4x\right]^2_{-2}[/tex]
computing the boundaries
[tex]=16[/tex]
Thus,
[tex]\int _{-2}^24dx=16[/tex]
Therefore, the expression becomes
[tex]A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]
[tex]=\frac{16}{3}-16[/tex]
[tex]=-\frac{32}{3}[/tex]
[tex]=-10.67[/tex] square units
Thus, the area under a curve is -10.67 square units
The area is negative because it is below the x-axis. Please check the attached figure.
function g is a transformation of the parent function f(x)=x^2 the graph of g is a translation right 2 and down 5units of the graph of f what is the equation of function g written in the form y=ax^2+bx+c?
right 3 units down 5 units
[tex]f(x)=x^2[/tex]
right 3 units = (3,0)
down 5 units = (0,-5)
vertex = (h,k) therefore.
[tex]g(x)=(x-3)^2-5[/tex]
Then convert the vertex form into standard form for the equation in the choice.
[tex]g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4[/tex]
Thus, the answer is B.
A store pays by the ounce to have different types of bracelets made and wants categorize them by price drag each purchase to the category that shows the ratio of dollars
Answer:
include a picture
Answer:
THIS IS THE CORRECT ANSWER FOR IMAGINE MATH BRAINLIEST PLZ
Step-by-step explanation:
yw!
What is 3 2/5 compared to 3 1/3
A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in the kitchen, a 0.2 chance it is in the bathroom, and a 0.15 chance it is in the living room. What is the probability that the wallet is a) somewhere else? b) in either the bedroom or the kitchen?
Answer:
a. Probability = 0.15
b. Probability = 0.3
Step-by-step explanation:
Given
[tex]P(Bedroom) = 0.4[/tex]
[tex]P(Kitchen) = 0.1[/tex]
[tex]P(Bathroom) = 0.2[/tex]
[tex]P(Living\ room) = 0.15[/tex]
Solving (a): Probability of being somewhere else
This is calculated by subtracting the sum of given probabilities from 1.
[tex]Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)[/tex]
[tex]Probability = 1 - 0.85[/tex]
[tex]Probability = 0.15[/tex]
Solving (b): Probability of being in bedroom or kitchen
This is calculated as:
[tex]Probability = P(Bedroom) + P(Kitchen)[/tex]
[tex]Probability = 0.2 + 0.1[/tex]
[tex]Probability = 0.3[/tex]
Leonardo draws a cookie on graph paper using the scale shown below. The cookie has a diameter of 12.5 cm in the drawing. Which of the following drawings best represents the diameter of the cookie at the scale Leonardo chose?
Answer:
Where's the drawing at because I don't see anything man
1. In the first week, he spent $16 on lunches. How much was in his account then?
Answer:
hen he deposited some more money and his account balance was $28.
Step-by-step explanation:
Answer:7
Step-by-step explanation:
A statistical quality control process for cereal production measures the weight of a cereal box. The population standard deviation is known to be 0.09 ounces. If we wish to estimate the population average cereal box weight to within 0.011 ounces and be 94% confident, how large a sample should be used
Answer:
the sample should be 237
Step-by-step explanation:
The computation of the large the sample be used is shown below:
Given that
Standard deviation = 0.09 ounces
margin of error = 0.011
For 94% confidence interval, the z value be 1.88
As we know that
Margin of error = ((z score × standard deviation) ÷ (Sample size))^2
0.011 = (1.88 × 0.09) ÷ (Sample size))^2
0.011 = 0.1692 ÷ (Sample size))^2
So, the sample size be
= 15.38^2
= 236.60
Hence, the sample should be 237
There’s 6/7 of a pizza. How many friends can I share if I give each 1/14 of pizza?
Answer:
12 (who has 12 friends?)
Step-by-step explanation:
make the fractions, I think its called a denominator, the same.
6/7 tums into 12/14
so if you give each friend 1/14 then you could feed 12 friends
this answer only works if you're not eating as well
What is the perimeter of the parallelogram?
Answer:
P= 2 (a+b)
Step-by-step explanation:
Use the given information to find the minimum sample size required to estimate an unknown population mean mu. How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $2 of the population mean, and the population standard deviation is known to be $99.
A) 8296
B) 6630
C) 9413
D) 13,302
Answer:
9413
Step-by-step explanation:
Given that :
Error = $2 ; Standard deviation (σ) =99 ; α = 95% = 0.95
Zα/2 = Z0. 05/2 = 1.96 (Z probability calculator)...
n = sample size
Recall:
n = ((Zα/2 * σ) / Error)^2
Using the formular above, the sample size n can be obtained ;
n = ((1.96 * 99) / 2)^2
n = 97.02^2
n = 9412.8804
n = 9413
Consider the circle centered at the origin and passing through the point (-8,0) give the equation of the circle
Answer:
Step-by-step explanation:
The equation of circle that passes through origin is given by
And the given circle passes through (-8,0).
Substituting -8 for x and 0 for y, we will get
How many cubes will be needed to construct the 5th "building" in the same pattern?
A. 11
B. 12
C. 13
D. 14
E. 15
Answer:12
Step-by-step explanation:They are adding three box for every building so is the fifth block you do it
Select the points that are solutions to the system of inequalities. Select all that apply. A(–2, 0)B (0, 10)C(–10, 10)D(1, 2)
Answer:
b and c
Step-by-step explanation:
i took the test
F
I
7
+
F
T
т
I'
T
T
dows (bd badyan (bred) (badjabrudny (band) (b-ndaband bad bad bvd/ 6
-79
Which expression represents the perimeter of the rectangle shown below
Answer:
D
Add all of the sides together. 2x+1 plus 2x+1 equalls 4x +2
Then add that to (xsquared+3x-2 + xsquared+3x-2) which is 2xsquared +6x-4+4x+2 which equalls D
Its D
------------------
A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the given event.
Missing Part:
a. A red ball is drawn
b. A white ball is drawn
Answer:
a. [tex]P(Red) = 0.4375[/tex]
b. [tex]P(White) = 0.3125[/tex]
Step-by-step explanation:
Given
[tex]Red = 7[/tex]
[tex]White = 5[/tex]
[tex]Yellow = 4[/tex]
First, we need to calculate the total
[tex]Total = Red + White + Yellow[/tex]
[tex]Total = 7+5+4[/tex]
[tex]Total = 16[/tex]
Solving (a): Probability of Red.
This is calculated by dividing number of red balls by the total
So:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{7}{16}[/tex]
[tex]P(Red) = 0.4375[/tex]
Solving (a): Probability of White.
This is calculated by dividing number of white balls by the total
So:
[tex]P(White) = \frac{White}{Total}[/tex]
[tex]P(White) = \frac{5}{16}[/tex]
[tex]P(White) = 0.3125[/tex]
An average slice of american cheese is about 1/8
inch thick. What is the height of a package containing 20 slices?
PLS HELP I WILL MARK BRAINLIST IF CORRECT!!
Answer:
B
Step-by-step explanation:
Answer:
B) 8
Step-by-step explanation:
If you multiply 8 times 3, that will give you 24. But you'll have to subtract 6 afterwards. 24 - 6 is 18.
Order used:
P:arenthesis
E:xponents
M:ultipication
D:ivision
A:ddition
S:ubtraction
Multiplication comes before subtraction.
Which of the following is NOT a transformation?
Translation
Reflection
Rotation
Construction
Dilation
10 POINTS Solve for x:
2x/7 - 18 = -6
x = -43
x = 56/3
x = 42
Answer:
Answer is "X=42"
Step-by-step explanation:
1.) x + 2x =
Could you help me solve this
Answer:
3x
Step-by-step explanation:
we don't know the value of x and we know we have 3 x's so we just add them together. But if we didn't know what ask for as we would just times that by 3
(\tan ^(2)\theta \cos ^(2)\theta -1)/(1+\cos (2\theta ))=
(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ))
Recall that
tan(θ) = sin(θ) / cos(θ)
so cos²(θ) cancels with the cos²(θ) in the tan²(θ) term:
(sin²(θ) - 1) / (1 + cos(2θ))
Recall the double angle identity for cosine,
cos(2θ) = 2 cos²(θ) - 1
so the 1 in the denominator also vanishes:
(sin²(θ) - 1) / (2 cos²(θ))
Recall the Pythagorean identity,
cos²(θ) + sin²(θ) = 1
which means
sin²(θ) - 1 = -cos²(θ):
-cos²(θ) / (2 cos²(θ))
Cancel the cos²(θ) terms to end up with
(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ)) = -1/2
Solve the following: 1/3 + 1/2
(1/3) + (1/2)
=> [(1×2)/(3×2)] + [(1×3)/(2×3)]
=> (2/6) + (3/6)
=> (5/6)
Simplify the expression. Explain each step 2+(a+8)
Answer:
a2+16
Step-by-step explanation:
Find the measures of the numbers angles in each rectangle
Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)