Answer:
Length of the diagonals is[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]
12.8 units is the right answer.The diagonal length of the rectangular book is 12.8 units.
What is rectangular?A rectangle is "four sided polygon, having all the internal angles is equal to 90 degree. The two sides of each corner is right angles".
According to the question,
The length of rectangle is 8 units and the breadth of rectangle is 10 cm.
To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².
c = [tex]\sqrt{a^2 + b^2}[/tex]
= [tex]\sqrt{8^2 + 10^2}[/tex]
= [tex]\sqrt{64 + 100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex]
= 12.8 units
Hence, the diagonal length of the rectangular book is 12.8 units.
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PLEASE HELP ME WITH THIS
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!
Answer:
408
3 percent of 300 is 9.
So it is $9 every month times 12 months
is equal to 108 so add the 300 on top of the 108 = 408
Step-by-step explanation:
Denise has $4.25 and needs to buy school supplies. She has a package of pencils that costs $1.75, a notebook that costs $1 and some erasers (x) that costs $0.25 each. At most, how many erasers can denise buy?
Answer:
6 erasers
Step-by-step explanation:
The pencils and the notebook together cost $2.75, from there you can calculate how many erasers.
1 eraser would bring the total to $3, therefore Denise can buy $1.25 more of erasers which is 5. 3 + 1.25 is $4.25. therefore Denise can buy 6 erasers
Answer:
he can buy 6 erasers
Step-by-step explanation:
because if you add 1.75 plus one and add 0.25 ....6 times it will equal 4.25 i hope this was helpful
What is the final price of an item that cost $38 with 90% mark-up
Answer:
$342.00
Step-by-step explanation:
38 x 90 = 3420
Answer:
72.2
Step-by-step explanation:
38 * 190%
Line p intersects line a and b. a b. By which theorem is a1 ≈ a8
PLEASE HELP!!
Answer:
option a
Step-by-step explanation:
alternate exterior angle theorem
If the circumference of a circle is rational, the area is always rational.
Answer:
Yes!!!
Step-by-step explanation:
Since π is non-terminating non-recurring i.e., an irrational, thus the area will always be rational provided with the circumference is rational.
What is the highest common factor of 45 and 315?
The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .
I need help solving this practice question
Answer:
Answer is the 3rd one
Step-by-step explanation:
They are asking to see what other angle looks equivalent to angle Y, so simply just look at the other angles and later you come to find that angle C is an exact match compared to angle Y.
Have a great day!
What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?
Answer:
17:14 or 17 to 14
Step-by-step explanation:
since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.
If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.
Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.
Since they're money sum up to $95.34, the first expression will be;
x+y+z=95.34
Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;
y=x-12.12
Cesar_x_raised $35more than Dalila_z. So the equation will be;
x=z+35
making z the subject, z=x-35 .
Substituting the Second equation into the first one, we get;
x+x-12.12+z=95.34
Subtracting the third equation into the new equation we get;
x+x-12.12+x-35=95.34
Simplifying, we get 3x- 47.12= 95.34.
3x=142.46
I need help immediately!!
Answer:
f (4) = 21
Step-by-step explanation:
the given equation is f (x) = 4x + 5
putting the value of x = 4
we get, f (4) = (4×4) + 5
f (4) = 16 + 5
f (4) = 21
i hope u got it
I’ll give you BRAINLEST PLEASE HELP
Answer:
Help with what?
Step-by-step explanation:
How long is the rectangle? *
A rectangle is 5cm longer than it is wide.
The perimeter of the rectangle is 86cm.
How long is the rectangle?
Solution
here, length= 5cm
breath= ?
Perimeter= 86 cm
By the question,
Perimeter (P) = l×b = 86 cm
or, 5cm × b= 86 cm
or, b = 86÷ 5
or, b= 17.2 cm
There were 45 runners sister erased in the first half of the race 2/3 of them dropped out in the second half of the race to fifth of the remaining runners chopped out how many runners finish the race
Answer:
9 runners
Step-by-step explanation:
Number of runners who started race = 45
Fraction that dropped off in the first half =. 2/3
Fraction of the remaining that dropped of in the second half = 2/5
Number of runners who dropped off in the first half :
(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners
Runners left = (45 - 30) = 15
Number who dropped off in the second half :
(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners
Number of runners who finished the race :
(15 - 6) = 9 runners
The graph shows the amount of money Miguel earns after working x hours.
What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
What is the slope of the line?
−3
3
Answer:
13 dollars
and slope is 3
Step-by-step explanation:
PLEASE HELP! <3
What is the slope of the line?
Answer:
0
Step-by-step explanation:
The slope formula is (change in y)/(change in x)
since the numerator (change in y) is 0, the slope will be 0
A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
What is 25*25?
Yehawwwwwwww
Answer:
625
Step-by-step explanation:
Answer:
25×25
25
× 25
______
125
+ 500
_______
625
5.) 3x^2 - 13x + 4 = 0
Answer:
Answer:
x= 1/3 or x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−13x+4=0
Step 1: Factor left side of equation.
(3x−1)(x−4)=0
Step 2: Set factors equal to 0.
3x−1=0 or x−4=0
x= 1/3or x=4
plz give brainlyest
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
-70x
Step-by-step explanation:
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D) I and II only
Step-by-step explanation:
Help pls thank you !!
Answer:
B is correct 4⁷ is the final answer
Hhhjeeeeelllppppp pppplllllsss
Answer:
c= 89
Step-by-step explanation:
the angles of a triangle add up to 180
in this triangle, our angles are:
c-33
c-25
c-29
this means that
(c-33) + (c-25) + (c-29) = 180
3c - 87 = 180
add 87 to both sides
3c = 267
divide both sides by 3
c = 89
3y=-6x+1 solve for y
Answer:
y= 2x +1/3
Step-by-step explanation:
3y= 6x+1
divide the whole equation by 3 to isolate y
y= 2x+1/3
Following are the calculation to the given value:
Given:
[tex]3y=-6x+1[/tex]
To find:
[tex]y=?[/tex]
Solution:
[tex]\to 3y=-6x+1\\\\\to y=-\frac{6x+1}{3}\\\\\to y=-\frac{6x}{3}+\frac{1}{3}\\\\\to y=-2x+\frac{1}{3}\\\\[/tex]
The final value of y is "[tex]=-2x+\frac{1}{3}\\\\[/tex]".
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Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
70 i am 100 percent sure
Step-by-step explanation:
1:10
7 70
what is the graph for y=2x+1
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?
Answer:
3.2 plz help me to
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
pLeAsE hElP mE...!!!!!!????? wut is 20 x 87
Answer:
69
jk 1740
Step-by-step explanation:
Answer:
well, the required answer is 1740
Step-by-step explanation:
it can be written as
=》 20 × ( 80 + 7 )
=》 1600 + 140
=》 1740
Solve for the variable.
6x-5=12
Answer:
6x-5=12 +5
6x=17 :6
x=2.8333333333
Step-by-step explanation:
prove me wrong
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
112°
Step-by-step explanation:
according to the question
34°+34°+x=180°
68°+x=180°
x=112°
The sum of twice a number and 18 is 5 less than three times the number, Write the
equation and find the number.
Step-by-step explanation:
Let x represent the number.
We have 2x + 18 = 3x - 5, therefore x = 23.
The number is 23.