We will have the following:
The triangles that can be written as congurent by ASA are:
\(\Delta BCD\cong\Delta VWU\)Robert's book bag is weighing him down. His bag alone weighs 4 pounds. His library book
weighs 2 pounds. The math book is 4 times the weight of the library book, and his science
book is 2 times the weight of the math book. How much does his book bag weigh with all
these books? What is the heaviest book in his book bag?
Answer:
1) 30 pounds is the weight of the bag all together
2) science book is the heaviest book
Step-by-step explanation:
bag=4 pounds
library book=2 pounds
maths book=2×4=8 pounds
science book=8×2=16 pounds
4+2+8+16=30 pounds all together
heaviest book= science book (16 pounds)
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
85cm + 258cm + 13cm all over
2
178
You add 85cm plus 258cm plus 13cm then you get the answer divide it by 2 you get
178cm
I am literally in tears. Pls someone help me fast. This is a timed question. I will give all of my points to the answer if it is right. Please!!!
hey dude ....hey dude ....14x +6 /3= -8 +4x14x+6 = -24 +12x2x+6= -242x= -30x=15x=15putting value of x in -3x^2 -7,-3(15)^2 -7-3(225)-7-675 -7-682
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
1/7x=1/3
Which value for x makes the sentence true
A.1/21
B.3/7
C.7/3
D.4/21
A farmer had 21 goats all but 9 died how many survive ?
Answer: 12
Step-by-step explanation:
Answer:
it would be 9
Step-by-step explanation:
All but nine died means "everything except nine goats died"
All 12 goats died.
if the population there increased by 15,183 people every week how many more people would be in Mexico city everyday?
Answer:
The answer is 2169
Step-by-step explanation:
You would do 15,183 x 7 because there are seven days in a week.
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
how many thousands multiplied by 3 will fit into 6912
2304 times 3 goes into 6912 and gives the remainder as 0.
The numerator number in the given division number 6912 by 3 is known as a dividend, and the denominator number is known as a divisor. As a result, 6912 is the dividend number and 3 is the divisor number.
Division is one of the four fundamental mathematical operations, along with addition, subtraction, and multiplication. Division is defined as the splitting of a large group into smaller groups so that each group has an equal number of items. In mathematics, it is an operation used for equal grouping and equal sharing.
Division is a basic arithmetic operation in which a larger number is divided into smaller groups with the same number of items. For example, how many total groups will be formed if 30 students must be divided into groups of 5 students for a sporting event? Such problems are easily solved by using the division operation. Here, we must divide 30 by 5. 30 5 = 6 will be the result. As a result, there will be six groups of five students each.
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=
You want to obtain a sample to estimate a population mean. Based on previous evidence, you
believe the population standard deviation is approximately 25.1. You would like to be 99%
confident that your estimate is within 0.5 of the true population mean. How large of a sample size is
required?
Do not round mid-calculation. However, use a critical value accurate to three decimal places - this
is important for the system to be able to give hints for incorrect answers.
We need a sample size οf at least 16945 tο be 99% cοnfident that οur estimate οf the pοpulatiοn mean is within 0.5 οf the true value.
What is a sample?A sample is characterised as a mοre manageable and cοmpact versiοn οf a bigger grοup. A smaller pοpulatiοn that pοssesses the traits οf a bigger grοup. When the pοpulatiοn size is tοο big tο include all participants οr οbservatiοns in the test, a sample is utilised in statistical analysis.
We can use the fοrmula fοr the margin οf errοr tο determine the required sample size -
margin οf errοr = z × (standard deviatiοn / √(sample size))
where z is the critical value fοr the desired level οf cοnfidence.
Fοr a 99% cοnfidence level, the critical value is 2.576 (οbtained frοm a standard nοrmal distributiοn table).
We want the margin οf errοr tο be within 0.5, sο we can set up the following equation -
0.5 = 2.576 × (25.1 / √(sample size))
Solving for the sample size, we get -
√(sample size) = 2.576 × (25.1 / 0.5)
√(sample size) = 130.208
sample size = (130.208)²
sample size ≈ 16944.05
Therefore, the required size of sample is at least 16945.
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Complete question:
Given m∠ABC=37°m∠ABC=37°and m∠CBD=165°m∠CBD=165°. According to the Angle Addition Postulate, what is the measure of ∠ABD∠ABD, that contains −−→BCBC→?
According to the Angle Addition Postulate, the measure of m∠ABD = 202°.
What is an angle addition postulate?According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.
Given:
The angle measures:
m∠ABC=37°,
and m∠CBD= 165°.
So, according to the angle addition postulate;
m∠ABD = m∠ABC + m∠CBD
Substituting the values,
m∠ABD = 37° + 165°
m∠ABD = 202°
Therefore, the angle measure of m∠ABD = 202°.
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s=ut+1 / 2 at²
u=10 a=-2 t=1/2
Work out the value of s.
The value of s in the formula
\(s = ut + \frac{1}{2}at^2\) is \(\frac{19}{4}\)
What is subject of a formula?
At first, it is important to know about formula
Formula is an equation which consists of variables and numbers and they are connected by mathematical operations.
In a formula, there are many variables present.
Subject of a formula is that variable which can be expressed in terms of other variables present in the formula.
Here, s is the subject of the formula
\(s = ut + \frac{1}{2}at^2\)
u = 10, a = -2, t = \(\frac{1}{2}\)
s = \(10 \times \frac{1}{2} + \frac{1}{2}\times (-2) \times (-\frac{1}{2})^2\\\)
s = \(5 - \frac{1}{4}\)
s = \(\frac{20 - 1}{4}\\\)
s = \(\frac{19}{4}\)
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SOLVE FOR T
t+3/2 = -2
T =
Answer:\(t= -\frac{7}{2}\)
Step-by-step explanation:
\(=t+\frac{3}{2}=-2\\=t=-2-\frac{3}{2} \\=t=-\frac{7}{2}\)
Which ordered pair is shown on the graph?
6
5
4
3
2
1
COL + 0
1 2 3 4 5 6 7
Enter the number that belongs in the green box.
([?],[)
Answer:
4
Step-by-step explanation:
(4,5)
Solution:First, check the x-coordinate of the point.The x-coordinate is 4 (that's the number that belongs in the green box).Now, check the y-coordinate.It is equal to 5.Remember, coordinates look like this:(x,y)Hope it helps.
Do comment if you have any query.
Write an algebraic expression that represents the total area of the square shown
I will give brainliest
What is this area of this rectangle
Step-by-step explanation:
To find the area of a rectangle, we simply need to multiply its length by its width. The area is simply the width of a rectangle times height. Area = h × h, Area = h2. Hence for a square, the area is the square of its sides.
A poll is given, showing 60% are in favor of a new building project. 5 people are chosen at random, what is the probability that exactly 3 of them favor the new building project ?
0.3456 would be your answer
You are offered an investment that pays simple interest and will earn $200 interest on a $2000 investment over 5 years. What interest rate is the investment paying? A) 1.5% B) 2% C) 2.5% D) 3%
Answer:
B) 2%
Step-by-step explanation:
The simple interest formula is ...
I = Prt
Interest I is earned on principal P when it is invested at rate r for t years.
Filling in the given values, we can solve for r:
200 = 2000r(5)
200/10000 = r = 2/100 = 2%
The interest rate is 2%.
give a convincing argument with logical explanations that the contrapositive of a conditional is the same as the converse of the inverse of the conditional.
Answer:
See explanation. (I just sumbitted this exact assignment this morning, and i submitted something very similar to the example below!)
Step-by-step explanation:
The contrapositive of a conditional is the same as the converse of the inverse of the conditional.
The best way to prove/support this statement is to create an example. You should start by creating a conditional; you can then form the conditional's converse, inverse, and contrapositive. Here is an example:
Conditional: If C, then D. (starting statement)
Converse: If D, then C. (conditional reversed)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example you gave, you can conclude:
The converse of the inverse: If not D, then not C. (reversed opposite of the conditional)
Because: The converse is the conditional reversed (If D, then C). The inverse of the converse, in this case, would then make it the opposite (If not D, then not C).
I have not yet received a grade on this assignment, but I know the information is correct; the amount of explanation you need to give really depends on how your teacher grades. Personally, I just submitted an example (similar to the one above) that was color-coded to help show the different parts of each statement.
I hope this helps! :)
Which graph represents the function f(x)= 2x-1/x1?
given that √5 = 2.24 and √50= 7.07 , find
√500 and √0.5
Answer:
see explanation
Step-by-step explanation:
using the rules of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
\(\sqrt{\frac{a}{b} }\) ⇔ \(\frac{\sqrt{a} }{\sqrt{b} }\)
then
\(\sqrt{500}\)
= \(\sqrt{100(5)}\)
= \(\sqrt{100}\) × \(\sqrt{5}\)
= 10 × 2.24
= 22.4
-------------------------------
\(\sqrt{0.5}\)
= \(\sqrt{\frac{50}{100} }\)
= \(\frac{\sqrt{50} }{\sqrt{100} }\)
= \(\frac{\sqrt{50} }{10}\)
= \(\frac{7.07}{10}\)
= 0.707
The radius of a circle is 13ft. Find it’s area in terms of pi.
Answer:
\(A = 169\pi \text{ ft}^2\)
Step-by-step explanation:
We can find the area of the circle using the formula:
\(A=\pi r^2\)
↓ plugging in the given radius value
\(A=\pi (13\text{ ft})^2\)
\(\boxed{A = 169\pi \text{ ft}^2}\)
a father is four times as old as the sun in 10 years time the father will be twice as old as the son .if the father is 20years and son is 5 years currently, how old will the father be 29 years from now?
29 years from now, the father will be 49 years old.
Let's start by setting up the given information:
Currently, the father is 20 years old, and the son is 5 years old.
In 10 years, the father will be twice as old as the son.
The father is currently four times as old as the son.
Determine the age of the father and son in 10 years:
In 10 years, the father's age will be 20 + 10 = 30 years.
In 10 years, the son's age will be 5 + 10 = 15 years.
Write equations based on the given information:
The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.
The father's current age is four times the son's current age: 20 = 4 × 5.
Solve the equations:
From the second equation, we find that the son's current age is 5 years.
Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).
Simplifying further, we have: 30 = 2 × 15, which is true.
Determine the current age of the son in 29 years:
The son's current age is 5 years.
Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.
Determine the current age of the father in 29 years:
The father's current age is 20 years.
Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.
Therefore, 29 years from now, the father will be 49 years old.
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-2 4/5 divided by -7
Answer:
2/5 or 0.4
Step-by-step explanation:
convert -14/5 / (-7)
divide 14/5 / 7 ( two negatives equal a positive)
equals 2/5 or 0.4 in decimal
2x-10+x+x =180 find the value of x
Answer: 47.5
Step-by-step explanation:
Given
2x-10+x+x=180
combine like term x
4x-10=180
addition property of equality (add 10 on both sides)
4x=190
division property (divide 4 on both sides)
x=47.5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Answer:
your answer will be 47.5
Lucas decides to use 5/8 cups of berries instead,but uses the same amounts of mango and yogurt. If he wants to make three 8 fluid ounce servings of smoothie,how much almond milk should he add
Using the mathematical operations of addition and subtraction, the quantity of almond milk that Lucas should add to his recipe to make three 8-fluid-ounce servings of the smoothie is 1¹/₈ cups.
What are mathematical operations?Mathematical operations include addition, division, subtraction, and multiplication.
In this situation, we can determine the needed quantity of almond milk using multiplication, subtraction, and addition.
The total quantity of smoothie is obtained by multiplying three cups by 8 fluid ounces. The quantity of almond milk is determined by subtracting the sum of other ingredients from the total quantity.
Lucas' usual recipe for two 8 fluid ounces:
Berries 3/8 cups
Mango 1/2 cups
Yogurt = 3/4 cups
Almond Milk = 3/8 cups
Total cups made = 2 cups (16 fluid ounces = 2 x 8)
New recipe for three 8 fluid ounces:
Berries 5/8 cups
Mango 1/2 cups
Yogurt = 3/4 cups
Almond milk = x
1 cup = 8 fluid ounces
Total cups to be made = 3 cups (24 fluid ounces = 3 x 8)
5/8 + 1/2 + 3/4 + x = 24/8
= 15/8 + x = 24/8
x = 9/8 (24/8 - 15/8)
= 1¹/₈ cups
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Question Completion:Lucas makes a smoothie using the recipe (berries 3/8, mango 1/2, yogurt 3/4 cups) and adds almond milk for two 8 fluid-ounce servings. (There are 8 fluid ounces in 1 cup.)
Let c = 10. Drag the expression into the box that makes the comparison true. H HIS C + 25 < De 30 - 3 4c-10 c2-63 10please help
Answer:
c2-63
Step-by-step explanation:
Hello anyone mind to help
Answer:
c
Step-by-step explanation:
so you would have -12 as the lowest, then climb to 0, then climb to the greatest number
Answer:
its c
Step-by-step explanation:
Kris’s mom is putting up border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How much border will be needed to go all the way around the room? 22 feet 120 feet 42 feet 44 feet
Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:
P = 2(l + w) = 2(12 + 10) = 44.
44 feet will be needed to go all the way around the room.
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