Answer:
d = 10 inches
Step-by-step explanation:
It is given that,
The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches
We need to find the length of its longest diagonal.
In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :
[tex]d=\sqrt{8^2+6^2} \\\\=\sqrt{64+36}\\\\=10\ \text{inches}[/tex]
So, the length of its diagonal is 10 inches.
The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?
Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
There are 81 cal in a 3/4 cup serving of chicken noodle soup how many calories are in a 2/3 cup serving?
Answer:
There are 72 cal in 2/3 cup serving of noodle soup
Step-by-step explanation:
The given parameters are;
The amount of calories in 3/4 cup serving of chicken noodle soup = 81 cal
The amount of calories in a 2/3 cup serving is given as follows;
3/4 cup contains 81 cal
1 cup contains 81/(3/4) cal = 81 × 4/3 cal = 108 cal
1 cup contains 108 cal
2/3 cup contains = 2/3 × 1 cup = 2/3 × 108 cal = 72 cal
2/3 cup contains 72 cal
Therefore, there are 72 cal in 2/3 cup serving of noodle soup.
I need help with Regis question.
Answer:
It is 3/13
Step-by-step explanation:
it is because there are 13 total marbles and 3 yellow ones
List the least common factor for 120
and 200
Answer: Lcm = 600
Step-by-step explanation: Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
Find the prime factorization of 200
200 = 2 × 2 × 2 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 2 × 3 × 5 × 5
LCM = 600
Answer:
600
Step-by-step explanation:
120= 2*2*2*3*5________eq1
200=2*2*2*5*5_________eq2
we get common factor from 1 and 2
2*2*2*5*3*5 = 600
so the least common factor is 600
Simplify 0.05x + 1.02x.
1.07x
1.7
0.17x
Answer:
1.07x
Step-by-step explanation:
Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.
Answer:
It is 1.07x (✿◠‿◠)
how do i determine the dimensions of a rectangle
Answer ASAP!!! LOOK AT PIC FOR QUESTION.
Answer:
A
Step-by-step explanation:
The equation starts at the coordinate point (0,0)
Answer:bdusnsbs
Step-by-step explanation:
Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.
Answer:
n = 5
Step-by-step explanation:
100,000 = 10^n
Take the log of both sides
log 100,000 = log 10^n
log 100,000 = n * log 10
Dividing both sides by log 10
log 100,000 / log 10 = n * log 10 / log 10
n = log 100,000 / log 10
= 5 / 1
n = 5
Five students write measurements for the three side lengths of various triangles.
Student
Side Lengths
1 3, 4, and 5
2 4, 7, and 10
3 5, 12, and 16
4 6, 8, and 10
5 7, 11, and 13
Which students' measurements form a right triangle? Select ALL that apply.
A Student 1
B
Student 2
С
Student 3
D
Student 4
I
E
Student 5
Answer:
student 3 i think yea
Step-by-step explanation:
Find the product.
-10 X (-3) X9 =
Answer:
270
Step-by-step explanation:
[tex] - 10 \times ( - 3) \times 9[/tex]
[tex]30 \times 9[/tex]
[tex]270[/tex]
Answer:
The answer is Answer = 270x
Q5.
Here are two fractions.
7/5 and 5/7
Work out which of the fractions is closer to 1
You must show all your working.
Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
5/7 is closer
Step-by-step explanation:
7/5= 49/35=1 14/35
5/7= 25/35
7/5 is 14/35 away from one whereas 5/7 is 10/35 away.
Juan's Garage charges $60 per hour plus an evulatation fee of $30. The function to represent the charges f(x)=60x+30, where x represents the number of hours the repairs take. Evaluate f(5.5). Please show you work if you'd would like brainliest!
Answer:
f(5.5) = 360Step-by-step explanation:
function; f(x)=60x+30
where x = 5.5 as a number of hours the repairs take.
find f(5.5)
plugin value of x=5.5 back into the equation:
f(x) = 60x + 30
f(5.5) = 60(5.5) + 30
f(5.5) = 330 + 30
f(5.5) = 360
Step-by-step explanation:
hope this will help you.
Which shows the image of quadrilateral ABCD after the transformation Ro, 90?
Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)
Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
Find out more on transformation at: https://brainly.com/question/1548871
Answer:
B)
Step-by-step explanation:
edge
Please helppppo thanksss!!!
Answer:
Your answer is (4,-3)
Step-by-step explanation:
plz help me with this ty
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??
Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
If AABC = ADEC,
ZB = 2x + 31 and ZE = 7x - 24
A
D
B
E
x = [?]
/_ b = /_ e
2x + 31 = 7x - 24
5x = 55
x = 11
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa's PIN?
Answer:
2345, 2034, 2134
Step-by-step explanation:
From the choices available the only options that would samples would be 2345, 2034, 2134. These three samples meet all of the requirements of the ATM cards pin system. Each of them starts with a 2 which is between 1 and 9. The last 3 digits of each of these samples are between 0 and 9 and are also not repeated from any of the other digits in the pin. All of the other options available either start with a 0 or have at least one repeating digit in its pin code.
Segment RS is an altitude of triangle RTE, the measure of angle SRT=(4x-8) degrees, and the measure of STR=(6x+13) degrees. Find the value of x
9514 1404 393
Answer:
x = 8.5
Step-by-step explanation:
The given angles are complementary, so ...
(4x -8) +(6x +13) = 90
10x +5 = 90 . . . collect terms
10x = 85 . . . subtract 5
x = 8.5 . . . . divide by 10
The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?
Answer:
once again, the pattern is multiply by 3
Answer:
972
Step-by-step explanation:
the pattern is multiplied by 3
can someone help please
Answer:
Tissue
Step-by-step explanation:
Forgive me if I'm wrong but I'm 90 percent sure I'm not.
Happy almost Halloween!!
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help
Answer:
Step-by-step explanation:
3(-3) - 2 = -9 - 2 = -11
3(1) - 2 = 3 - 2 = 1
3(5) - 1 = 15 - 1 = 14
PLZZZ I NEED HELPP THANK YOU SO MUCH
Answer: A.) B.) D.)
Step-by-step explanation:
It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.
Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?
A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right
Answer:
B) x <= -3
Step-by-step explanation:
B is the only answer that shows x being less than -3.
all of the other answers show x being greater than -3.
Solve each equation for x.
8. d= f+ fx
Answer:
(d/f)-1=x
Step-by-step explanation:
d=f+fx
d-f=fx
(d-f)/f=x
(d/f)-1=x
Find the inverse of f(x) = 3x + 7
Answer:
g(x)=(x-7)/3
Step-by-step explanation:
Answer:
The answer would be [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse
Step-by-step explanation:
Open-end credit is A: a loan given for a short period of time that is not dependent on credit history. B: pledged to a company as security for a loan repayment. C: an amount of time during which a loan can be repaid without interest. D: an agreement with an institution on a certain amount that can be repeatedly borrowed.
Answer:
D
Step-by-step explanation:
Here we want to select which of the options best define open end credit.
When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.
In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.
In simple case, it is a system of borrowing and loan repayment simultaneously
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]