The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]
Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
In Autobiography by Abraham Lincoln Lincoln avoids embellishing on his own life and keeps his portrayal of his life very______.
A.neutral
B. negative
C. humorous
Please help I’m very confused
Answer:
C. 21 1/9
Step-by-step explanation:
6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9
Which choice is equivalent to the expression below? Use the FOIL method.
(√x-2)(√x + 3)
A) x-6
B) x+√x +6
C) x-√x -6
D) x+√x-6
Answer:
D) x + √x - 6.
Step-by-step explanation:
(√x-2)(√x + 3)
= √x*√x + 3*√x - 2*√x - 2*3
= x + √x - 6.
Polygon with exactly one line of symmetry label the line of symmetry
Answer:
Kite
Step-by-step explanation:
Kite. A kite has one line of symmetry
The length of a rectangle is 3 times the
width. Find the dimensions of the
rectangle if its perimeter is 16 cm.
Step-by-step explanation:
length = 3×width
2×length + 2×width = 16
length + width = 8
we can use the first equation in the second :
3×width + width = 8
4×width = 8
width = 2 cm
therefore,
length = 3×width = 3×2 = 6 cm
Use z scores to compare the given values.
Based on sample data, newborn males have weights with a mean of 3217.9g and a standard deviation of 780.1g. Newborn females have weights with a mean of 3086.5g and a standard deviation of 523.8g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700g or a female who weighs 1700g?
Using z-scores, it is found that a female who weighs 1700g has the more extreme value relative to the group from which they came.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For the newborn male, we have that [tex]X = 1700, \mu = 3217.9, \sigma = 780.1[/tex], hence the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1700 - 3217.9}{780.1}[/tex]
Z = -1.946.
For the newborn female, we have that [tex]X = 1700, \mu = 3086.5, \sigma = 523.8[/tex], hence the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1700 - 3086.5}{523.8}[/tex]
Z = -2.645.
Due to the higher absolute value of the z-score, a female who weighs 1700g has the more extreme value relative to the group from which they ca,e.
More can be learned about the z-scores distribution at https://brainly.com/question/24663213
#SPJ1
Help!, Help! Brainliest Available to Best Answer!
Just find x
Answer:
x = 50°
Step-by-step explanation:
Let's make 2 equations based on the properties of the triangles :
Applying Exterior Angle Property :
x + 2∠1 = 2√2 (taking ΔABC in perspective)∠1 + 25 = √2 (taking ΔBDC in perspective)Divide equation 1 by 2 :
⇒ 1/2 (x + 2∠1) = 1/2 x (2∠2)
⇒ x/2 + ∠1 = ∠2
⇒ ∠2 - ∠1 = x/2
Similarly, rewrite equation 2 :
⇒ ∠1 + 25 = ∠2
⇒ ∠2 - ∠1 = 25
From these 2 equations, we get :
⇒ x/2 = 25
⇒ x = 25 × 2
⇒ x = 50°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's consider the figure with two triangles,
Angle b is divided into two equal parts :
let's name each of them as y ~and similarly
Exterior angle C is divided into two equal parts :
let's name each of them z ~Now, according to exterior Angle property :
In Triangle ABC
[tex]\qquad \sf \dashrightarrow \:2y + x = 2z \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \: 2z - 2y = x \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:2(z - y) = x[/tex]
[tex]\qquad \sf \dashrightarrow \:z - y = \dfrac{x}{2} \: \: \: \: \: \: \: - (1)[/tex]
and in Triangle BDC
[tex]\qquad \sf \dashrightarrow \:y + 25 = z \: \: \: \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:z - y = 25 \: \: \: \: \: \: \: - (2)[/tex]
equate equation (1) and (2) :
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{2} = 25[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}{} = 25 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}{} = 50 \degree[/tex]
HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST
The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12,
14, 19, 20, 9, 15, 17, and 11. identify the box-and-whisker plot for this data.
Answer:
B
Step-by-step explanation:
Median value = 14 ( the number in the middle of the ascending-order list)
2 quartile 25% are below 11
3 quartile 25% are above 18
min 9 max = 20
Answer:
i think it's b
Step-by-step explanation:
Which is the graph of f(x)=3^x
The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.
How to determine the graph associated with a given function
In this question we must compare a given exponential function with a set formed by four functions. As the function is crescent and monotonous, then we can choose the correct graph by a evaluating the function for a given x-value and find the graph that matches with such finding:
f(5) = 3⁵
f(5) = 243
The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.
To learn more on exponential functions: https://brainly.com/question/14355665
#SPJ1
the value of a varies directly as the square of the value of b, and b=3 when a=10. Find the value of a when b=9.
Answer:
answer = 90
Step-by-step explanation:
General equation: a = k*b^2
Specifically: 10 = k*(3)^2 = 9 k
Solving for k: k = 10/9
Then a = (10/9)b^2. If b = 9, then a = (10/9)(9)^2 = 90 (answer)
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
2 StartRoot 15 pi EndRoot
4 StartRoot 5 pi EndRoot
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
Answer:
C) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFractionStep-by-step explanation:
Given circle with area of:
A = 60 cm²Find its radius
A = πr² ⇒ A/π = r² ⇒ √(A/π) = r ⇒ r = √(A/π)Substitute the values and find the value of r:
r = √(60/π) = 2√(15/π) = 2√(15π) / πNow compare this with answer choices:
A) 2 StartRoot 15 pi EndRoot ⇒ 2√(15π), incorrectB) 4 StartRoot 5 pi EndRoot ⇒ 4√(5π), incorrectC) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction ⇒ 2√(15π) / π, correctD) StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction ⇒ 4√(5π) / π, incorrectAnswer:
c
Step-by-step explanation:
Is there a way to find all the factor pairs for a big number like 805 quickly
Answer:
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Step-by-step explanation:
A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Please help explain, tyy
Answer:
3. (3, 6)
4. (3, 7)
5. (3, 36)
Step-by-step explanation:
These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.
a Sam purchases a home for $1, 240, 500. Each year the value of the home appreciates by 3%. What is the value of the home after 6 years?
Answer:
lol
Step-by-step explanation:
A tennis ball is launched straight up from a height of 4 feet with an initial velocity of 64 feet per second. Use the
equation h(t) = -16ť² + vot+h, to determine when the tennis ball will be 52 feet in the air. Select all that apply.
01 second
2 seconds
3 seconds
5 seconds
6 seconds
When the ball hits the ground,
h=0
vt�16t^2=0
64t-16t^2=0..
t(64-16t)=0
t=0 (reject, not reasonable)
or
64-16t=0
16t=64
t=64/16=4
How long will it take for the ball to hit the ground? 4 seconds
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
75 points Dilations of Segments and Angles
CD is dilated by a scale factor of 3/4 to form C ′ D ′ . CD measures 2. What is the measure of C ′ D ′ ?
Answer
0.823742
Step-by-step explanation:
just a genius
Solve |x|+7<4.
A.) {x|x<-11 or x>-3}
B.) ∅
C.) {x|-3
Answer:
No solutions
Step-by-step explanation:
Given inequality,
|x|+7<4To Find:
Value of x in the inequality.
Solution:
Add -7 to both sides
= |x|+7+(−7)<4+(−7)= |x|<−3Find absolute value
No solutionsWhy?
Reason:Because, absolute values can't be less than 0.
Which term refers to when there are excessively large amounts of people in a specific area, which limits access to resources?
A. Population
B. Migration
C. Refugee
D. Overpopulation
Answer:
D. Overpopulation
Step-by-step explanation:
Overpopulation is the number of a people in an area exceeds the capacity of the environment to support life at a decent standard of living. When there is a population exceeding the amounts of resources that are provided, it can cause issues as there are nonrenewable resources meaning that there is limited resources for everyone. This is bad as it can become a crisis.
The perimeter of a rectangular field is 48m, if the length is twice the width . Find the area of the field.
Answer:
Step-by-step explanation:
→Perimeter (P) = 2×(L+W) Perimeter = 48m
But Length = 2 × Width
∴ P = 2×( 2W + W)
= 2×(3W)
48 = 6W
Divide both sides by 6
[tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W
∴Width (W) = 8m
→This means Length = 2W
= 2×8m
L = 16m
→Area of a rectangle = L × W
= 8m × 16m
∴ Area of the rectangular field= [tex]128m^{2}[/tex]
1 Square yard = what Square inches
Answer: 1296 square inches
Step-by-step explanation:
1 square yard is 36 times 36 square inches
36 times 36 is 1296 square inches
what is a logarithm?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,
So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
Hope this helps. Have a good day!
Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
$15.00
$10.00
$5.00
$25.00
Answer:
$ 15.00
Step-by-step explanation:
9.95 is JUST about 10
5.25 is close to 5
10 + 5 = 15
Math question help pls
Answer:
the circumference of the circle is 50.24
Anyone can help please
Solve by factoring y=4x^2-24x+36
Answer:
(x-3) (x-3)
Step-by-step explanation:
[tex]4x {}^{2} - 24x + 36 \\ dividing \: through \: by \: 4 \\ x {}^{2} - 6x { }^{} + 9 \\ two \: numbers \: such \: that \: when \: you \: add \: them \: they \: give \: you \: - 6 \: and \: when \: you \: multiply \: them \: they \: give \: 9 \\ the \: numbers \: are \: \: - 3 \: and \: - 3 \\ x {}^{2} - 3x - 3x + 9 \\ x( x - 3) - 3(x - 3) \\ (x - 3)(x - 3)[/tex]
higher level thinking cell phone plan is shown on the right. Prices, which include an unlimited data plan, are the same every month for 7 months. The total cost for all seven months is $180.39. Let m be the average number of minutes exceeding 700 minutes each month. 700 minutes talked: $19.70 per month Every minute over 700 minutes: $0.05 per minute A. Write an equation to represent the given situation
Equation to represent the given situation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
What is Linear Equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that:
Total cost for 7 month =$180.39
Let m be the average number of minutes that exceeds 700 minutes each month.
Equation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 21.67 + 0.05m = 180.39/ 7,
or, 0.05m = 25.77 – 21.67,
0.05m = 4.1
m= 82
Hence, equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.
Learn more about this concept here:
https://brainly.com/question/15101949
#SPJ1
A four-sided figure is resized to create a scaled copy.
Answer:
2/9 or 9/2
Step-by-step explanation:
The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)
If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.
Hope this helps! :)
2. The bases of the trapezisid (x-14) cm and (x+2) cm ats medien is 30 cm long, how long is the shorter base
Answer:
22cm
Step-by-step explanation:
Formula:
MEDIAN = 1/2(B1+B2)
Solution:
30= 1/2[(x-14)+(x+2)]
x = 36 cm
B1= 36-14 = 22 cm (shorter base)
B2= 36+2 = 38 cm (longer base)
The Shorter Base is 22cm.
Can someone actually HELP me
Answer:
See below
Step-by-step explanation:
This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .
Angle 2 = angle 6 = angle 4 = angle 8 (congruent)
Angle 1 and angle 3 and angle 5 and angle 7 are also all equal
A 'straight angle' is a straight line and has a measure of 180 degrees
look at angle 1 and angle 2 ....they add up to a straight line = 180 degrees or angle 1 and angle 6 angle 1 and angle 4 each add to 180 degrees
Any angle in the underlined list above added to any angle in the bold list from above add to 180 degrees ....
Answer + Step-by-step explanation:
Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)
Angles 1 and 7 are transversal and congruent . (True) (Reason : Alternate Exterior Angles)
Angles 4 and 6 are transversal and congruent . (True) (Reason : Alternate Interior Angles)
Angles 5 and 7 are transversal and congruent . (True) (Reason : vertically opposite Angles)
What degree is a straight angle ? (180 degrees)
What would angles 1 and 6 add up to ? (180 degrees)
What would angles 8 and 3 add up to ? (180 degrees)
………………………………………………………………………………………
Angles W and Z add up to ? (180 degrees)
The sum of the 3 angles in a triangle (180 degrees)
Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)
Angle W equals what (180 - Z = 180 - 75 = 105 degrees)
