Answer:
john is 19
and sally is 23
Step-by-step explanation:
correct me if wrong but that's my own answer
I dont know how to do this
Answer:
see explanation
Step-by-step explanation:
assuming you require the measure of the numbered angles.
∠ 5 and 148° are vertically opposite angles and are congruent , so
∠ 5 = 148°
∠ 6 and 148° are a linear pair and sum to 180° , that is
∠ 6 + 148° = 180° ( subtract 148° from both sides )
∠ 6 = 32°
∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then
∠ 7 = 32°
∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , that is
∠ 3 + 32° = 180° ( subtract 32° from both sides )
∠ 3 = 148°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 1 = 148°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , so
∠ 2 + 148° = 180° ( subtract 148° from both sides )
∠ 2 = 32°
∠ 2 and ∠ 4 are vertically opposite angles and are congruent , then
∠ 4 = 32°
In summary
∠ 1 = 148° , ∠ 2 = 32° , ∠ 3 = 148° , ∠ 4 = 32° , ∠ 5 = 148° , ∠ 6 = 32° , ∠ 7 = 32°
2. Calculate the height of a triangle with base length 5,2 cm and area equal to 26,58 cm². (Round off the answer to 2 decimal places.)
[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=5.2\\ A=26.58 \end{cases}\implies 26.58=\cfrac{1}{2}(5.2)h \\\\\\ 26.58=2.6h\implies \cfrac{26.58}{2.6}=h\implies 10.22\approx h[/tex]
Alonso's car holds a maximum of 19 gallons of gas. About how
many liters of gas does Alonso need to fill his gas tank?
The liters of gas that Alonso need to fill his gas tank is 71.92279 liters.
How to calculate the value?It was stated that Alonso's car holds a maximum of 19 gallons of gas.
It is important to note that 1 gallon = 3.78541 liters.
Therefore, the number of liters will be calculated by multiplying the value. This will be:
= 19 × 3.78541
= 71.92279 liters.
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What is the area of this shape? 12 cm A 15 cm 5 cm 2 cm
Answer: 84.
Step-by-step explanation: If you add the width 5cm and 2cm, it gives you 7cm, then length x width so 12x7= 84(cm).
If I am wrong, I am truly sorry, I haven't done area in a long time.
find the area of this triangle and the values of x and y
First let's find the value of x using the Pythagorean theorem in the left small triangle:
[tex]\begin{gathered} 14^2=6^2+x^2 \\ 196=36+x^2 \\ x^2=196-36 \\ x^2=160 \\ x=\sqrt[]{160}=4\sqrt[]{10}=12.65 \end{gathered}[/tex]Now, finding the value of y with the Pythagorean theorem in the right small triangle, we have:
[tex]\begin{gathered} 16^2=x^2+y^2 \\ 256=160+y^2 \\ y^2=256-160 \\ y^2=96 \\ y=\sqrt[]{96}=4\sqrt[]{6}=9.8 \end{gathered}[/tex]The area of the triangle is calculated with the formula:
[tex]\text{area}=\frac{b\cdot h}{2}[/tex]Where b is the base and h is the height relative to this base. Using b = 6 + y and h = x, we have:
[tex]\begin{gathered} \text{area}=\frac{(6+y)x}{2} \\ \text{area}=\frac{(6+4\sqrt[]{6})4\sqrt[]{10}}{2} \\ \text{area}=(6+4\sqrt[]{6})2\sqrt[]{10} \\ \text{area}=12\sqrt[]{10}+8\sqrt[]{60} \\ \text{area}=12\sqrt[]{10}+16\sqrt[]{15} \\ \text{area}=12\cdot3.162+16\cdot3.873 \\ \text{area}=99.912 \end{gathered}[/tex]let f(x) = 2x + 1 and g(x) = 3x -3. find the solution to the equation f(x) = g(x) by sketching the functions .
A.1
B.2
C.4
D.8
Equations f(x) = g(x) is proved with x be (C) 4.
What do we mean by equations?A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 = 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, to get f(x) = g(x):
Solve for 'x' as follows:
f(x) = g(x)2x + 1 = 3x - 33x - 2x = 1 + 3x = 4Now, but 'x = 4' in both equations to check that LHS = RHS:
2x + 1 = 3x - 32(4) + 1 = 3(4) - 38 + 1 = 12 - 39 = 9LHS = RHSThe sketch of equations "f(x) = 2x + 1" and "g(x) = 3x -3" is attached below with the value of coordinate x = 4.
So, value of x = 4.
Therefore, equations f(x) = g(x) is proved with x be (C) 4.
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Help me please giving brainlyest
Answer:
The answer is A
Step-by-step explanation:
y=-0.5x + 225
This is because every month 50 cents which can be written as 0.5 is taken off the account so it would be negative. Since X = the number of months, you would multiply it by 0.5, hence -0.5x. Since 225 is the orginial balance you would add that.
Please do mark Brainliest!
for students who earned a score of 21 or higher on the quiz, the cumulative frequency is and the relative cumulative frequency is .
For students who earned a score of 21 or higher on the quiz
The cumulative frequency = 16
The relative frequency = 32%
The number of times a specific value appears in the data is its frequency (f). A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values.
To get relative frequency, we will take this cumulative number and divide by the total number of students. number of 21 or more / total number of students = 16 / 50 = 0.32 or 32%.
The cumulative frequency of students who earned a score of 21 or higher on the quiz is =16.
Total frequency is = 4+8+15+7+7+3+4+2=50.
So the relative cumulative frequency is
= 16 / 50
= 0.32 or 32%.
Hence , the relative cumulative frequency when students who earned a score of 21 or more is 0.32.
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if the gradient of a line,B,is -3, what is the gradient of the line which is perpendicular to B
perpendicular gradients are egual to -1 when multiplying them which means
Step-by-step explanation:
.Ma×Mb=-1
Ma=-1/Mb
Simplify the expression 1 + 0.25 (8 + 12) - 0.3 × 2
Question: Simplify the expression 1 + 0.25 (8 + 12) - 0.3 × 2
Solution:
Distributing 0.25 in the sum we obtain:
[tex]1\text{ + (0.25x 8 + 0.25 x12) - 0.6}[/tex]Performing each of the operations we obtain:
[tex]1\text{ + (2 + 3) - 0.6}=\text{ 1 + 5 -0.5 = 5.5}[/tex]So the correct answer is
[tex]1+0.25(8+12)-0.3\times2\text{= 5.5}[/tex]Enter the letters of the points that are on the graph of $y = 6$.
Answer: E
Step-by-step explanation: On the y axis go 6 spaces up and E will be 6 spaces to the right.
Calculate the range for both sets of data:
Set A:
4.5
,
4.5
,
4.1
,
3
,
3.6
,
9.9
,
5.5
Set B:
1.3
,
1.6
,
5.2
,
3.8
,
6.6
,
7.5
Answer:4.5
Step-by-step explanation:4.5
can u pls answer the screenshot?
Answer:
-3
Step-by-step explanation:
N/A
hi guys if i have a bag of skittles and the order i specifically eat them in is red, orange, brown, yellow, green, blue
what will be the colour of the 39th skittle that i eat?
The order of the color of the 39th skittle is: yellow
How to solve order or position based problems?
By adding numbers to the given sequence and examining the repetition, order-based issues in mathematics can be addressed. Once the proper order number has been determined, numbering the other objects will be a breeze.
The answer is a bag of Skittles in the following color order: red, orange, brown, yellow, green, and blue.
The hue of the 39th skittle that they consumed is:
There are six hues in all.
Red is repeated once again after number 6. The order for the red is as follows:
[1, 6,12,18,24,30,36]
39 is yellow, 38 is brown, and 37 is orange.
Consequently, the 39th skittle is colored in the following order: yellow
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Find the remainder for the quotient using either substitution or synthetic division.
x - 5 is a factor of the polynomial
f(x) = x^3 - x^2 - 17x - 15)
(The answer must include what the remainder value is and what it indicates.)
The remainder when the polynomial f(x) is divided by the x - 5 is 0.
A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics.
Consider the polynomial,
f(x) = x³ - x² - 17x - 15
The factor of the polynomial is x - 5.
So,
x - 5 = 0
x = 5
Substituting the value of x in the polynomial,
f(x) = x³ - x² - 17x - 15
f( 5 ) = 5³ - 5² - 17(5) - 15
f(5) = 125 - 25 - 85 - 15
f(5) = 125 - 125
f(5) = 0
Hence, the remainder is 0 when polynomial f(x) is divided by x - 5.
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C
Finding Angles Measures
61⁰
A
E
61°
B
D
LL
Find the following angle measures.
m/EAD=
m/CAB=
✓ Done
The measure of angle ∠EAD is 29° and ∠CAB is 119°.
What are angles?In Euclidean geometry, an angle is a shape created by two rays that share an endpoint and are referred to as the angle's sides and vertex, respectively. The plane that contains the rays contains the angles created by two rays.Depending on the measurement, there are various angles in geometry. Basic angles are identified by their names: acute, obtuse, right, straight, reflex, and full rotation.So, according to the image ∠CAF is 180°.
And, ∠CAF = ∠CAE + ∠EAD + ∠DAFObtain, ∠EAD as follows:
∠CAF = ∠CAE + ∠EAD + ∠DAF180 = 61 + ∠EAD + 90180 = 151 + ∠EAD180 - 151 = ∠EAD∠EAD = 29°Similarly, ∠CAF = ∠CAB + ∠BAF
Obtain, ∠CAB as follows:
∠CAF = ∠CAB + ∠BAF180 = ∠CAB + 61180 - 61 = ∠CAB∠CAB = 119°Therefore, the measure of angle ∠EAD is 29° and ∠CAB is 119°.
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The correct question is given below:
Find the following angle measures.
mEAD =
mCAB =
17
Yolanda took a bus to visit her grandmother for a four-day visit.
a. At the bus station she waited for 2 of an hour until it was time to board the bus.
How many minutes did Yolanda wait to board the bus? Show or explain how you got your
answer.
Yolanda brought a CD to listen to on the bus.
The CD is 78 minutes long.
• The bus ride was 2½ hours long.
b. How many minutes longer was the bus ride than the CD? Show or explain how you got
your answer.
c. Yolanda wondered how many minutes are in 4 days. What is the total number of minutes
4 days? Show or explain how you got your answer.
(Not for me it’s for my friend that needs help.)
Answer:
72 minutes
Step-by-step explanation:
150
-78
72
Answer:
Step-by-step explanation:
1) 2hours??
2) 150-78=72mins
3)24x4=96
96x60=5760
If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
the answer is 27.5
Step-by-step explanation:
the decimal point should be placed in the ones place...I think
determine if the statement below is always, sometimes, or never true. Justify your answer: 2(3+5x)=6+5x
Answer:
Never True
Step-by-step explanation:
The equation is not balanced.
To win trivia game ,Nevan must score 90 points.each correct answers is worth 1 3/4 points, and each incorrect answer is worth "-1/4" points.if he gets 58 questions correct and 22 questions incorrect, does nevan win?how many points does he score?
Answer:
Yes, Nevin scored 96 points.
Step-by-step explanation:
[tex](58 \times 1.75) - (22 \times .25)[/tex]
[tex]101.5 - 5.5 = 96[/tex]
Please help
In one study, it was found that the correlation coefficient between two variables
is.38
Which statement is true?
There is a weak positive association between the variables.
There is a weak negative association between the variables.
There is strong positive association between the variables.
There is a strong negative association between the variables.
There is strong positive association between the variables.
What is meant correlation coefficient between two variables?The strength of the linear link between two variables is assessed using correlation coefficients. A correlation coefficient with a value over zero denotes a positive link, whereas one with a value below zero denotes a negative relationship. A statistical indicator of how strongly two variables are linearly related is the correlation coefficient. From -1 to 1, its values are possible. A correlation coefficient of -1 indicates a perfect negative, or inverse, correlation, in which the values in one series rise as the values in the other fall, and the other way around. A value of 1 indicates a direct link that is 100 percent positive. There is no linear link when the correlation coefficient is zero.
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Please answer all questions and show you Find the mean of each of the following data sets. 1,2,2,3,3,3,4,4,4 and 4
============================================================
Explanation:
Add up the values
1 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 4 = 30
Then divide by the sample size n = 10 since there are 10 items in this list
30/10 = 3
The mean is 3.
---------------
An example in real life
Imagine that the numbers given represent the number of cookies that 10 people have. Person A has 1 cookie, person B has 2 cookies, person C has 2 cookies, person D has 3 cookies, and so on.
Adding up all the cookies gets us 30 total. Imagine all the cookies are placed on a plate somewhere.
To split the cookies evenly among the 10 people, we divide by 10 to get 30/10 = 3. This means each person gets 3 cookies, which is exactly the arithmetic mean.
The local seven-digit telephone numbers in city A have 461 as the first three digits. How many different telephone numbers are possible in city A
The total number of ways in which different telephone numbers are possible in city is 6561.
Permutation -
It relates to a mathematical process that determines the number of possible arrangements of a given set.
A permutation is a term that refers to the number of different ways something can be ordered as well as arranged.The sequence of the arrangement is important in permutations.Now, according to the question:
The first three digits are fixed, we have to select the next four digits.
A total number of available telephone numbers is increased by selecting
one of nine numbers for the fourth digit.nine numbers for the fifth digitnine numbers for the sixth digitnine numbers for the seventh digit.Thus,
= 9×9×9×9
= 6561
Total number of ways in which different telephone numbers are possible in city are 6561.
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Natasha and Jorge were asked to find the quotient to the decimal division problem 18.8÷1.6. Natasha says her answer is 11.75. Jorge says his answer is 1.175.
a. Who is correct? Natasha or Jorge?
b. Explain how you know who is correct. Include in your explanation at least one possible error the student who was incorrect made. Giving 90 points away
a. Natasha says her answer is 11.75. Therefore, she is correct.
b. The possible error that was made was that Jorge shifted the decimal backward.
How to illustrate the information?A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio. A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent a numerical value for a whole plus some fraction of a whole.
From the information, it should be noted that Natasha and Jorge were asked to find the quotient to the decimal division problem 18.8÷1.6.
a. It should be noted that the division of the decimals will be:
= 18.8 ÷ 1.6
= 11.75
This can easily be done with a calculator.
b. One can easily know who is correct through the use of a calculator or mentally. The fact that Jorge got 1.175 is incorrect.
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If AFGH - AQRS, m_F = x + 26, m R = 3x, and m Q = 5x - 12, find the value of x.
Explanation
Step 1
as the triangles are similar
[tex]\begin{gathered} \measuredangle F=\measuredangle Q \\ x+26=5x-12 \\ \end{gathered}[/tex]Step 2
solve for x
[tex]\begin{gathered} x+26=5x-12 \\ \text{subtract x in both sides} \\ x+26-x=5x-12-x \\ 26=4x-12 \\ \text{add 12 in both sides} \\ 26+12=4x-12+12 \\ 38=4x \\ \text{divide both sides by 4} \\ \frac{38}{4}=\frac{4x}{4} \\ 9.5=x \end{gathered}[/tex]so, the anwer
Hunter and Manny work at a horse farm. On Thursday, they split cleaning the small horse
stalls, but Manny finished first. On Friday, they are going to work together to clean the big
horse stalls. If they clean for the same amount of time on Friday, who will likely clean more
horse stalls?
Answer:
Manny.
Step-by-step explanation:
Because they split cleaning on Thursday and Manny finished first, then on Friday Manny will clean more stalls because they are faster.
The function f(x)=3^x is often referred to as a tripling function because f(x) triples whenever x changes by 1 But this is not the only example of a tripling function. Give two more distinct examples of tripling functions (functions whose values triple whenever the independent variable changes by 1).f(x)=3x^2g(x)= h(x)=
Answer:
Explanation:
Given the function, g(x) below:
[tex]g(x)=2(3^x)[/tex]We evaluate g(x) for x=1,2 and 3:
[tex]\begin{gathered} g(1)=2(3^1)=6 \\ g(2)=2(3^2)=18 \\ g(3)=2(3^3)=54 \end{gathered}[/tex]We see that whenever x increases by 1, the value of g(x) triples.
Find the volume V of the described solid S.
The base of S is the region enclosed by the parabola
y = 2 - 3x^2 and the x-axis. Cross-sections perpendicular to the y-axis are squares.
The volume V of the described solid S is 3.48 π and this can be described by performing the integration and using the given data.
How to find the volume of the described solid?Given: The base of S is the region enclosed by the parabola [tex]$y=2-3 \mathrm{x}^2$[/tex] and the x-axis.
Cross-sections perpendicular to the y-axis are squares.
To determine the x-intercept by substituting (y = 0) in the given function.
[tex]$&0=2-3 \mathrm{x}^2 \\[/tex]
[tex]$&x^2=\frac{2}{3} \\[/tex]
[tex]$&x=\pm \sqrt{\frac{2}{3}}[/tex]
The volume of solid S is given by: [tex]$\mathrm{V}=\pi \mathrm{r}^2 \mathrm{~h}$[/tex]
where [tex]$\mathbf{r}=\mathbf{y}\sqrt{x}[/tex] and h = dx.
[tex]$&\mathrm{dV}=\pi\left(2-3 \mathrm{x}^2\right)^2 \mathrm{dx} \\[/tex]
[tex]$&\mathrm{dV}=\pi\left(9 \mathrm{x}^4-12 \mathrm{x}^2+4\right) \mathrm{dx}[/tex]
Now, integrate the above expression.
[tex]$&\int \mathrm{dV}=\int_0^{\sqrt{2 / 3}} \pi\left(9 \mathrm{x}^4-12 \mathrm{x}^2+4\right) \mathrm{dx} \\[/tex]
[tex]$&\mathrm{V}=\pi\left[\left(9 \frac{\mathrm{x}^5}{5}-\frac{12 \mathrm{x}^3}{3}+4 \mathrm{x}\right)\right]_0^{\sqrt{2 / 3}}[/tex]
Simplify the above expression, we get
[tex]$&\int \mathrm{dV}=\int_0^{\sqrt{2 / 3}} \pi\left(9 \mathrm{x}^4-12 \mathrm{x}^2+4\right) \mathrm{dx} \\[/tex]
[tex]$&\mathrm{V}=\pi\left[\left(9 \frac{\mathrm{x}^5}{5}-\frac{12 \mathrm{x}^3}{3}+4 \mathrm{x}\right)\right]_0^{\sqrt{2 / 3}}[/tex]
Simplify the above expression.
[tex]$$\mathrm{V}=\pi\left[\left(9 \frac{\left(\sqrt{\frac{2}{3}}\right)^5}{5}-\frac{\left(\sqrt{\frac{2}{3}}\right)^3}{3}+4\left(\sqrt{\frac{2}{3}}\right)\right]\right.$$\alpha[/tex]
Now, simplify the above expression by using the arithmetic operations.
V ≈ 3.48 π
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o find the quotient of 8 divided by one-third, multiply 8 by
One-eighth.
One-third.
3.
8.
The quotient of 8 divided by one-third, multiply 8 by 3. Option C
What are fractions?Fractions are simply defined as part of a whole element, set or quantity.
The different types of fractions are;
Simple fractionsComplex fractionsProper fractionsImproper fractionsMixed fractionsExamples of simple fractions include; 1/2, 1/5
Examples of proper fractions include; 2/3 . 4/6
Examples of mixed fractions include; 2 1/4, 3 6/7
Examples of improper fractions include;5/4, 6/54
From the information given, we have;
8 ÷ 1/3
Take inverse of the divisor and multiply
8 × 3/1
24
Then, multiplying 8 by 3 is 24
Hence, the value is 3
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PLEASE HELP I don’t understand this
Answer:
Step-by-step explanation:
1) Find the table
To find the numbers on the table, just substitute the number for x
If x = 0
y=-4x+3
y=-4(0) + 3
y= 0 + 3
y= 3
If x = 1
y=-4x+3
y=-4(1)+3
y= -4 + 3
y= -1
You can see a pattern, each x makes it go down by 4.
So the following will be...
if x = 2 -> -5
if x = 3 -> -9
2) Now fill in the table with the points
(0, 3) (Taken from the table, the x and y)
(1, -1)
(2, -5)
(3, -9)
3) Afterward draw a line through it. You will get your graph.
