Answer:
7.5 inches
Step-by-step explanation:
take the 5 away from the 20, you have 15 inches left. Isosceles triangles have two equal sides; 15 divided into two equally is 7.5
Reduce the following fractions to lowest terms:
6/9
In order to get the answer to this question you must find the number that the numerator and the denominator is dividable by (common factor) then divide.
[tex]\frac{6}{9}[/tex]
[tex]CF=3[/tex]
[tex]6\div3=2[/tex]
[tex]9\div3=3[/tex]
[tex]= \frac{2}{3}[/tex]
Therefore your answer is "2/3."
Hope this helps.
Which functions are equivalent to f (x) = RootIndex 4 StartRoot 162 EndRoot Superscript x? Check all that apply.
Answer:
[tex]f(x)=162^\frac{x}{4}[/tex]
[tex]f(x)=[3\sqrt[4]{2}]^{x}[/tex]
[tex]f(x)=[3(2^{\frac{1}{4}})]^{x}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=\sqrt[4]{162^{x}}[/tex]
Remember that
[tex]\sqrt[n]{a^{m}}=a^{m/n}[/tex]
[tex](a^{m})^{n}=a^{m*n}[/tex]
so
1) [tex]\sqrt[4]{162^{x}}=162^\frac{x}{4}[/tex]
2) The number 162 decompose in prime factors is
[tex]162=(2)(3^4)[/tex]
substitute
[tex]f(x)=\sqrt[4]{[(2)(3^4)]^{x}}={[(2)(3^4)]^{x/4}={{[(2)(3^4)]^{(1/4)}}^x=[3\sqrt[4]{2}]^{x}[/tex]
3) [tex]f(x)=[3\sqrt[4]{2}]^{x}=[3(2^{\frac{1}{4}})]^{x}[/tex]
therefore
[tex]f(x)=162^\frac{x}{4}[/tex]
[tex]f(x)=[3\sqrt[4]{2}]^{x}[/tex]
[tex]f(x)=[3(2^{\frac{1}{4}})]^{x}[/tex]
Answer:
A.B. E.
Step-by-step explanation:
the ordinate of every point in the x-axis is zero true or false.
Answer:
As you remember from pre-algebra a coordinate plane is a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis. These lines are perpendicular and intersect at their zero points. This point is called the origin.
Step-by-step explanation:
Answer:
mhmmmmm
i need help on this too
Help me pls!! Only if you know it 30 points
Answer:
true
Step-by-step explanation:
Because as it go's down the other go's up
An atom has 10 positive electric charges known as protons and 10 negative electric charges known as electrons.A proton is +1, and an electron is -1. What is the net charge of this atom
Answer:
0
Step-by-step explanation:
10 protons and 0 electrons gives the atom a positive charge. 10 electrons and 0 protons gives the atom a negative charge. Therefore 10 protons and 10 electrons gives the atom a net charge of 0 and the charge of the atom is neutral. HOPE THIS HELPS! PLEASE VOTE THIS BRAINLIEST!!!!!!!!!!!!!!
The atom is neutral, with 10 protons (+1 each) and 10 electrons (-1 each), resulting in a net charge of 0 due to equal positive and negative charges.
The net charge of an atom is determined by the balance between its protons and electrons.
Protons carry a positive charge of +1, while electrons carry a negative charge of -1.
In a neutral atom, the number of protons is equal to the number of electrons, resulting in a net charge of 0.
This implies, the atom has 10 protons (positive charges) and 10 electrons (negative charges).
Since the number of protons is equal to the number of electrons, the net charge of this atom is 0. It is a neutral atom.
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John drives 10 1/2 miles every 1/20 hour. How many miles can he drive in 5 hours?
I am trying to help my daughter with this problem. can you show me step b y step please. thank you :)
Answer: 1050 miles in 5 hours
Step-By-Step explanation: there are 20 1/20 per hour
10 1/2 x 20 = 210 miles per hour
210 * 5 =1050 miles in 5 hours
[tex]\text{Hello there!}\\\\\text{We're trying to find how many miles he can drive in 5 hours}\\\\\text{We know that he drives 10.5 miles in 1/20 of an hour}\\\\\text{We need to find how much he drives in an hour, so you have to}\\\text{multiply 10.5 by 20}\\\\10.5\cdot20=210\\\\\text{In 1 hour, he drives 210 miles}\\\\\text{Now, multiply 210 by 5 to see how much he drives in 5 hours}\\ \\210\cdot5=1050\\\\\large\boxed{\text{John drives 1,050 mile in 5 hours}}[/tex]
two grains of salt have a mass of approximatley one microgram or 0.000001g which expression represents this number in scientific notation
Final answer:
The expression that represents the mass of two grains of salt, approximately one microgram or 0.000001g, in scientific notation is 1 x 10-6g.
Explanation:
The expression that represents the mass of two grains of salt, approximately one microgram or 0.000001g, in scientific notation is 1 x 10-6g.
Scientific notation is a way to express numbers that are extremely large or small in a more manageable format. In scientific notation, a number is written as a coefficient multiplied by a power of 10. The coefficient must be greater than or equal to 1 and less than 10, and the power of 10 represents how many places the decimal point needs to be moved to get the original number.
Twenty-one crackers contain 147 Calories. Find the unit rate in Calories per cracker.
The unit rate in Calories per cracker is
Answer The unit rate in calories per cracker is 7.
(I'll add explanation if needed)
I hope this helped! :)
Kevin can ride his bike 2 miles in 12 minutes. At this rate, how many miles can he ride in 60 minutes?
Answer:
At this rate he can ride his bike 10 miles in 60 minutes.
Step-by-step explanation:
I divided 60 by 12 which is 5.
Then I multiplied 2 by 5 which is 10. So, this was the simplest way of getting to 10 miles in 60 minutes from 2 miles in 12 minutes.
Yours truly,
Que.
Answer:
At this rate he can ride his bike 10 miles in 60 minutes.
Step-by-step explanation:
I divided 60 by 12 which is 5.
Then I multiplied 2 by 5 which is 10. So, this was the simplest way of getting to 10 miles in 60 minutes from 2 miles in 12 minutes.
The icy one,
Que.
a single layer of gold atoms form a surface whose dimensions are 1.0x10^3 angstroms by 1.0x10^3 angstroms. 1 angstrom=10^-10 meter.
A)what is the area of this surface in square angstroms? [ ]
B) What is the surface area in square centimeters? [ ]
Answer:
Part A) [tex]1*10^{6}\ angstroms^{2}[/tex]
Part B) [tex]1*10^{-10}\ cm^{2}[/tex]
Step-by-step explanation:
Remember that
When multiply numbers in scientific notation, multiply the coefficients and then add the exponents
Part A) what is the area of this surface in square angstroms?
The area is equal to
[tex]A=(1*10^{3})( (1*10^{3})=(1)*(10^{3+3})=1*10^{6}\ angstroms^{2}[/tex]
Part B) What is the surface area in square centimeters
we know that
1 angstrom=10^-10 m
so
1 angstrom=10^-8 cm
Convert angstroms to cm
[tex](1*10^{3})\ angstroms=(1*10^{3})*(10^{-8})=(1*10^{-5})\ cm[/tex]
The area is equal to
[tex]A=(1*10^{-5})(1*10^{-5})=(1)*(10^{-5-5})=1*10^{-10}\ cm^{2}[/tex]
Lani's mother gave her and her two sisters $21 to spend at the movies. If each girl gets the same amount, how much do they each have to spend?
each sister gets 21 dollars, so there are three sisters there fore 21*3 equals 63
Answer:
$7.
Step-by-step explanation:
We have been given that Lani's mother gave her and her two sisters $21 to spend at the movies.
We are asked to find the amount each girl have to spend.
To solve our given problem, we will divide $21 with 3 as Lani and her two sisters would be 3 persons.
[tex]\text{Amount that each girl have to spend}=\frac{\$21}{1+2}[/tex]
[tex]\text{Amount that each girl have to spend}=\frac{\$21}{3}[/tex]
[tex]\text{Amount that each girl have to spend}=\$7[/tex]
Therefore, each girl gets $7 to spend.
Juanita begins to factor an expression as shown. x2+3x−18=(x+)(x−) What numbers should be placed in the boxes from left to right? 3 and 6 2 and 9 6 and 3 9 and 2
Answer:
Option A is the correct answer.
Step-by-step explanation:
Here we need to factorize x²+3x−18
The coefficient of x is 3 and the constant is -18
Which means
The sum of factors is 3
The product of factors is -18
The factors satisfying are 6 and -3
Here the factors are given in the type (x+)(x−)
So the value after plus is 6 and value after - is 3
Option A is the correct answer.
Answer:
6 and 3
Step-by-step explanation:
12. The traffic warning sign below has a triangle shape with base of 18 inches,
The value of the area of the triangle (half base times altitude), in square inches, is
an irrational number. The number that represents the altitude of the triangle must
. Select the best answer to fill in the blank.
be
A A whole number
B A rational number
C An irrational number
D A non-real complex number
Explain your answer.
Answer:
C.
Step-by-step explanation:
The area of the triangle is
[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}[/tex]
You know that
Area - irrational number
[tex]\dfrac{1}{2}[/tex] - rational number (rational numbers are those that can be written as a fraction)
Base = 18 inches - rational number (actually, 18 is a natural number and each natural number is rational)
Height - unknown
You can rewrite previous formula as
[tex]\text{Area}=\dfrac{1}{2}\cdot 18\cdot \text{Height}\\ \\\text{Area}=9\cdot \text{Height}[/tex]
Now consider all options:
A. If height is a whole number then area is a whole number as a product of two whole numbers. False
B. If height is a rational number, then area is rational number as a product of two rational numbers. False
C. If height is a irrational number, then area is irrational number as a product of rational and irrational numbers. True
D. If height is a non-real complex number, then area is non-real complex number as a product of rational and non-real complex numbers. False
Option C. An irrational number.
The area of a triangle is given by the formula A = 1/2 × base × height. In this problem, the base of the triangle is 18 inches. Since the problem states that the area is an irrational number, we need to determine what the height (or altitude) of the triangle must be.
To have an irrational area, either the base or the height (or both) must be irrational. Given that the base is a whole number (18 inches), the height must be an irrational number to produce an irrational value for the area. We can set up the formula as follows:
A = 1/2 × 18 × h, where h is the height.
For A to be irrational, h must be an irrational number.
Therefore, the best answer to fill in the blank is:
C An irrational numberWhat is 79800/50 in simplest form
Answer:
1,596
Step-by-step explanation:
79800 is divisible by 50
Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0). Which statements are true about the trapezoids? Select three options. The length of side AD is 8 units. The length of side A'D' is 4 units. The image is larger than the pre-image. Sides CD and C'D' both have the same slope, 2. The scale factor is 1/2.
For trapezoids ABCD and A'B'C'D' on a coordinate plane, side AD's length is 8 units, A'D's length is 4 units and also the scale factor is 1/2.
The question asks for facts about the dilation of trapezoid ABCD to create trapezoid A'B'C'D' on a coordinate plane. First, we are to compare the length of side AD with side A'D'. The coordinates of AD are (-4, 0) and (4, 0), so the length is 4 - (-4) = 8 units. For A'D', using coordinates (-2, 0) and (2, 0), the length is 2 - (-2) = 4 units. This confirms that:
The length of side AD is 8 units.
The length of side A'D' is 4 units.
Next, to determine whether the image is larger than the pre-image, we examine the scale factor. As the original trapezoid has been halved in size, the scale factor is indeed 1/2. Therefore, the image is not larger; it is smaller. Hence, this option is not true.
Examining the slopes of sides CD and C'D', we can use the coordinates (2, 4) to (4, 0) and (1, 2) to (2, 0) respectively to calculate the slope. The slope of CD is (0-4)/(4-2) = -4/2 = -2, and for C'D' it is (0-2)/(2-1) = -2/1 = -2. Both slopes are indeed the same, and thus, we confirm:
Sides CD and C'D' both have the same slope, -2 not 2 as stated in the options.
The final option about the scale factor being 1/2 is true and confirms:
The scale factor is 1/2.
The true statements are:
- The length of side AD is 8 units.
- The length of side A'D' is 4 units.
- The scale factor is 1/2.
To determine which statements are true about the trapezoids, let's analyze the given information:
1. The length of side AD is 8 units.
- To find the length of side AD, we can use the distance formula between points A and D.
- Distance formula: [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
- [tex]\(AD = \sqrt{(4 - (-4))^2 + (0 - 0)^2} = \sqrt{8^2} = 8\)[/tex]
- This statement is true.
2. The length of side A'D' is 4 units.
- To find the length of side A'D', we can use the distance formula between points A' and D'.
- Distance formula: [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
-[tex]\(A'D' = \sqrt{(2 - (-2))^2 + (0 - 0)^2} = \sqrt{4^2} = 4\)[/tex]
- This statement is true.
3. The image is larger than the pre-image.
- We can compare the lengths of corresponding sides.
- The length of side AD is 8 units, while the length of side A'D' is 4 units.
- Since the lengths of corresponding sides are not proportional, the image is not larger than the pre-image.
- This statement is false.
4. Sides CD and C'D' both have the same slope, 2.
- The slopes of sides CD and C'D' can be calculated using the coordinates of the points.
- Slope formula:[tex]\(m = \frac{y_2 - y_1}{x_2 - x_1}\)[/tex]
- For side CD: [tex]\(m_{CD} = \frac{4 - 4}{2 - (-2)} = \frac{0}{4} = 0\)[/tex]
- For side C'D':[tex]\(m_{C'D'} = \frac{2 - 0}{1 - (-1)} = \frac{2}{2} = 1\)[/tex]
- Since the slopes are not the same, this statement is false.
5. The scale factor is 1/2.
- To find the scale factor, we can compare the corresponding side lengths of the pre-image and the image.
- The length of side AD is 8 units, and the length of side A'D' is 4 units.
- The scale factor is the ratio of corresponding side lengths: [tex]\(\frac{4}{8} = \frac{1}{2}\)[/tex]
- This statement is true.
Find the nth term of this number sequence
18, 16, 14, 12,...
Someone pls help me and tell me the answer
The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
First term = 18
Second term = 16
Common difference = 16 - 18 = -2
It should be noted that the formula for finding the next term of an arithmetic sequence will be:
= a + (n - 1)d
= 18 + (n - 1) × -2
= 18 - 2n + 2
= -2n + 20
Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
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how to find surface area
Answer:
Find the area of two sides (Length*Height)*2 sides.
Find the area of adjacent sides (Width*Height)*2 sides.
Find the area of ends (Length*Width)*2 ends.
Add the three areas together to find the surface area.
Example: The surface area of a rectangular prism 5 cm long, 3 cm.
Answer:
The way to do this is multiplying all the 3 dimensional sides Then adding them.
Step-by-step explanation:
What i mean by this is by, Multiplying the Length and height together .
Next is Multiplying the Width and Height together
Next would to multiply the Length And Width together.
Lastly would to add all your solutions together.
If you have any questions feel free to ask in the comments.
BRAINLIEST ASAP
solve for y
-140=18+4(5y-2)
Answer:
Variable Y is equal to 7.5.
Step-by-step explanation:
First, open the brackets:
18 + 20y - 8 = -140
Second, subtract 18 and add 8 from/to both sides.
20y = -140 - 18 + 8
20y = -150
Third, divide by 20.
y = 7.5
Answer quick
The diagram shows a quadrilateral ABCD.
AE is parallel to BC.
EF is the angle bisector of angle AED.
Answer:
y = 25
Step-by-step explanation:
Since AE and BC are parallel, then
∠AED = ∠BCE = 110° ( corresponding angles )
Since EF is the angle bisector of ∠AED, then
∠AEF = ∠FED = 55°
∠AFE and ∠DFE form a straight angle, thus
∠AFE = 180° - 80° = 100°
The sum of the angles in ΔAEF = 180°, thus
y = 180 - (55 + 100) = 180 - 155 = 25
the value of the angle EAF will be 15 degrees.
What are complementary angles?When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
Given a figure:
The diagram shows a quadrilateral ABCD.
AE is parallel to BC.
EF is the angle bisector of angle AED
Since ∠AFE and ∠EFD are supplementary angles.
And ∠EFD = 80 degrees
Thus,
∠AFE +∠EFD = 180
∠AFE = 100
Since AE is parallel to BC.
∠BCE and ∠AED will be the same
Thus, ∠AED = 110°
Since EF is the angle bisector of angle AED.
∠AEF will be 55°
So in ΔAEF
∠AED = 110°
∠AEF = 55°
From the property of the triangle
The sum of All angles is 180°.
Thus
∠A + ∠E + F = 180°
y + 110 +55 = 180
y = 15
therefore, the value of ∠EAF will be 15 degrees.
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Look around you to find something in the U.S. that is measured in metrics.
Final answer:
In the U.S., the metric system is used in scientific, medical, and nutritional contexts, with units like liters for beverages, grams for food nutrition labels, and millimeters or centimeters for scientific measurements.
Explanation:
To find something in the U.S. that is measured in metric units, one needs to look no further than scientific or medical fields. For example, beverages such as soda are commonly sold in liters, which is a metric unit of volume. Moreover, medications are often measured in milligrams or grams. If we explore other common usages, we find that the nutrition facts on food products provide information in grams and milliliters.
In academics, specifically in science classes, the metric system is the standard for measuring length, with units like millimeters, centimeters, meters, and kilometers. The metric system's fundamental units include the meter (m) for length, the kilogram (kg) for mass, and the second (s) for time. When estimating conversion to metric units, it's also important to choose the appropriate measurement tool based on the size of the object being measured.
Final answer:
In the U.S., the metric system is often used in science, medicine, and industries involving international standards. Common examples include nutritional information on food labels and the labeling of bottled beverages. It is also used for some athletic event distances like 5K and 10K races.
Explanation:
When trying to find something in the U.S. that is measured in metric units, one can look at scientific settings. In the United States, the metric system is primarily used in science, medicine, and in industries where international standards are important. For example, scientists usually use the International System of Units (SI), which includes meters to measure length and kilograms to measure mass. Although the U.S. commonly uses the customary system with units such as inches and pounds, metric units are often found on nutrition labels, where calories, sugar content, and other nutritional information are listed in grams or milliliters.
Some everyday items that might be measured using the metric system include bottled beverages (usually listed in liters or milliliters), medications (measured in milligrams or grams), and distances in some athletic events, such as 5K and 10K races (measured in kilometers)
What is 47 rounded to he nearest 10
Answer:
EXAMPLE I Round 47 to the nearest ten. Here is a part of a number line; 47 is between 40 and 50. Since 47 is closer to 50, we round up to 50. 42 is between 40 and 50.;it5
Escribe el número 317 en forma expandida?
Answer:300+10+7=317
Step-by-step explanation:
Tienes que expandir el número en las partes de 100 las de 10 y láser de 1 como las de 100 es 300 la de 10 es 10 y la de 1 es 7
NEED HELP ASP plz
What is the value of x?
Enter your answer in the box. x =
Answer:
Okay they're going to be the same answer so solve like this
Step-by-step explanation:
2x+20=3x-30
Write the equation of the line that passes through (-7,-4) and (-6,-2) in slope-intercept form.
A.) y=2x-4
B.) y=-2x-14
C.) y=2x+10
D.) y=1/2x+1
Option C) [tex]y=2x+10[/tex] is correct
Equation of a line passing through points [tex]\boldsymbol{\left ( x_1,y_1 \right ),\left ( x_2,y_2 \right )}[/tex] is given by [tex]\boldsymbol{y-y_1=\left ( \frac{y_2-y_1}{x_2-x_1} \right )\left ( x-x_1 \right )}[/tex]
Given points are as follows:
[tex]\left ( x_1,y_1 \right )=\left ( -7,-4 \right )\\\left ( x_2,y_2 \right )=\left ( -6,-2 \right )[/tex]
Equation of a line is [tex]y+4=\left ( \frac{-2+4}{-6+7} \right )\left (x+7\right )[/tex]
[tex]y+4=2\left ( x+7 \right )[/tex]
[tex]y+4=2x+14[/tex]
[tex]\boldsymbol{y=2x+10}[/tex]
So, option C) is correct.
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Final answer:
To find the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept of the line. Using the formula for slope, we find that the slope is 2. Then, using one of the points and the slope, we find the y-intercept to be 10. Therefore, the equation of the line is y = 2x + 10.
Explanation:
To find the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept of the line. The slope can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (-7, -4) and (-6, -2), the slope is:
slope = (-2 - (-4)) / (-6 - (-7))
slope = 2 / 1
slope = 2
Now that we have the slope, we can use one of the points and the slope to find the y-intercept. Let's use the point (-7, -4) and the slope of 2:
y = mx + b
-4 = 2(-7) + b
-4 = -14 + b
b = -4 + 14
b = 10
Therefore, the equation of the line in slope-intercept form is y = 2x + 10.
The sum of two numbers is 100 and the difference is 80
Answer:
10 and 90 are the numbers
10+90=100
90-10=80
The larger number is 90 and the smaller number is 10.
What are the equations that reperesent the question?
a + b = 100 equation 1
a - b = 80 equation 2
Where:
a = larger number b = smaller number What is the larger number ?In order to determine the value of a, add equation 2 and equation 1
2a = 180
Divide both sides by 2
a = 90
What is the smaller number?
Subtract 90 from 100,
b = 100 - 90
b = 10
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Which of the following fractions is equivalent to 15/35
Answer:3/7 is the equivalent fraction of 15/35.
Step-by-step explanation:
Divide both by 5. Hope this helped you.
Answer:
Equivalent fraction to 15/35 is 3/7 .
since 5 has common factor of both numerator and denominator so divide both by 5. hence we get the values which is equivalent to 15/35.
Please help I don’t understand
Answer:
i think its the first one
Step-by-step explanation:
Solve for f
2f = -12
f=?
Answer:
f = -6
Step-by-step explanation:
2 it's multiplying the f, so in order to get only f, you need to divide both sides by 2
2f / 2 = -12 / 2
f = -6
Find the GCF of 24m and 18m
Answer: 6m
Step-by-step explanation:
GCF is Greatest Common Factor.
In other words, what is the biggest factor they have in common?
You can factor both terms down to their primes and compare them:
24m 18m
∧ ∧
4 6 m 2 9 m
∧ ∧ ↓ ↓ ∧ ↓
2 2 2 3 m 2 3 3 m
24m: 2 · 2 · 2 · 3 · m
18m: 2 · 3 · 3 · m
What do they have in common?
24m: 2 · 2 · 2 · 3 · m Common is 6m, leftover is 4
18m: 2 · 3 · 3 · m Common is 6m, leftover is 3
I showed the leftover because you need that to find the LCM
Stefanie spends entire allowance one month she spends 1/2 of a on new clothes 1/4 on food 1/6 on movies and 1/12 on Music how much more does she spend on clothes that he does on movies
A: 1/4
B: 1/2
C: 1/6
D: 1/3
Answer:
Option D: 1/3
Step-by-step explanation:
Let
x ------> the entire Stefanie's allowance
we know that
She spends on clothes (1/2)x
She spends on movies (1/6)x
To find out how much more does she spend on clothes that he does on movies, subtract the amount she spends on movies from the amount she spend on clothes
[tex]\frac{1}{2}x-\frac{1}{6}x=\frac{2}{6}x[/tex]
Simplify
[tex]\frac{1}{3}x[/tex]
therefore
She spends 1/3 more on clothes that he does on movies