the area of the rhombus=32cm; one diagonal (q)=18meters
p=(2×area)/q
p=(2×32)/18=18
therefore the length of the unknown diagonal is 18.
the unknown diagonal can be calculated using the perimeter of the rhombus which is given as 32cm; one diagonal (p)=18 half of this diagonal
=18÷2=9units
Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide
Answer:
parallel
Step-by-step explanation:
3x + 2y = 6 can be written as y = -3/2x +3
4y = -6x -12 can be written as y= -3/2x-3
same slope different y intercept so parallel
There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?
The number of hardback books that are on the bookshelf is 29 books.
Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.Given the following data:
Total number of books = 36 booksTo determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
Read more on word problem here: https://brainly.com/question/24604067
Is x=−10 a solution to the equation 28x+17=157?
Answer:
no
Step-by-step explanation:
28x+17=157 Subtract 17 on both sides.
-17 -17
28x=140
x=5
5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.
Hope this helps!! Have a great day :)
four ninths minus four tenths equals blank ?
Answer:
2/45
Step-by-step explanation:
Gloria likes to knit scarves to give as gifts to her friends and family. She can knit 1 over 4. of a scarf in 3 over 4. of an hour. If she continues to knit at the same rate, how many hours will it take her to knit 1 scarf?
Answer:
I don't know
Step-by-step explanation:
Gloria will knit 1 scarf in 3 hours.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Gloria likes to knit scarves to give as gifts to her friends and family.
She can knit 1 over 4 of a scarf in 3 over 4 of an hour.
Simplifying,
She can knit 1/4 of a scarf in 3/4 of an hour.
To find the time:
1/4 of a scarf in 3/4 of an hour.
Multiply by 4,
4 x 1/4 of a scarf in 4 x 3/4 of an hour.
1 scarf in 3 hours.
Therefore, she will take 3 hours to knit 1 scarf.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
V = 14130 inches cubed
Step-by-step explanation:
the volume formula for a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]. To solve plug in the values for each part of the equation. Pi will equal 3.14, and r will equal 15.
A regular polygon has 15 sides find the size of each of its interior angles
Answer:
156°
Step-by-step explanation:
A regular polygon has 15 sides find the size of each of its interior angles
Pentadecagon
The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.
find the sum of the interior angles(15 - 2) × 180 =
13 × 180 =
2340
we divide by the number of sides2340 : 15 =
156° is your answer
Figure A is a scale image of figure B.
Pls help!!!
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
how much is 75 decreased by 8% ???
Answer:
69
Step-by-step explanation:
The number 75 decreased by 8% means that you are looking for 92% of 75. To find a percent of the number you can multiply a number by the percent in decimal form. So, to find 92% of 75, multiply 75*0.92. This gives you 69. Doing this is the same as finding 8% of 75 and then subtracting.
In Substitution
3+2x-y=0
-3-7y=10X
Answer:
i think x = -1, y = 1
Step-by-step explanation:
3+2x-y=0
so 3+2x = y
-3-7y=10X
-3-7(3+2x) = 10x
-3-21-14x = 10x
-24-14x = 10x
-14x-10x = 24
-24x = 24
x = -1
3+2x = y
so 3+2(-1) = y
3+(-2) = y
1 = y
SO x = -1 and y = 1
The art club had an election to select a president. 100% of the 31 members of the club voted
in the election. How many members voted?
Answer:
31
Step-by-step explanation:
Write an algebraic expression that corresponds to "the opposite of a number "
Answer:
-n
Step-by-step explanation:
If n represents "a number", then the opposite of the number is ...
-n
__
Examples:
The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.
A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Step-by-step explanation:
the volume of a prism is
length × width × height
so, for the small prism we have
5 × 4 × height = 100 in³
height = 100/20 = 5 in
for the large prism we have
5 × 4 × height = 200 in³
height = 200/20 = 10 in
the larger prism is 10/5=2 times taller than the small prism.
Write as a monomial in standard form
(3x*3y)\x*y
[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]
Answer:
9
Hope you could get an idea from here.
Doubt clarification - use comment section.
Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain.
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.
Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?
amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?
Answer:
$27,444.80
Step-by-step explanation:
12% of 22,540 is 2,704.8
add the amount she made
add the weekly salary (550 × 4)
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.
What is the measure of angle x?
10 degrees
15 degrees
45 degrees
60 degrees
Answer:
i wish i could help but i'm trynna figure that out myself
Step-by-step explanation:
Answer:
im pretty sure it might be 50
Step-by-step explanation:
15.21 x 0.72 can somebody help its an assignment
Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
can someone help me. these are due tonight.
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
A square fence has an area of 81 cm sq. What is the length of each side?
Answer:
9 cm
Step-by-step explanation:
[tex]\sqrt{81} = 9[/tex]
Convert 112 degrees Fahrenheit to degrees Celsius
Equation
C = (F - 32) ÷ 1.8
Solution
C = (112 - 32) ÷ 1.8
=44.4 (44.4444444444)
Answer may vary depending on how your teacher wants you to do it and whether they want a exact answer.
What is the quotient of 8.44 and 0.04?
10 pts
8.44/0.04=211
hope this helps!
Answer:
211
Step-by-step explanation:
8.44 divided by 0.04 = 211
please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.
Answer:
see explanation
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AB = 12
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AC = 6[tex]\sqrt{3}[/tex]
pleeeeease help meeeeeee
Answer:
y = 5x +7
Step-by-step explanation:
Using the hint, we have ...
y -(-3) = 5(x -(-2)) . . . . . m = 5, (x1, y1) = (-2, -3)
y = 5x +10 -3 . . . . . eliminate parentheses, add -3
y = 5x +7
Please help me with this math problem!! :)
Answer:
16.67%, 50%, 16.67%
Step-by-step explanation:
There are 6 different ways that the 4 kids can be paired up, so any one of the ways is rounded to 16.67%. So a and c are 16.67%
Not Zack is any pairing that doesn't have a Z. That is 3 out of 6, which is 50%.
I need seriously help. Exponents suck.
this pictute ⇊
Answer:
4.5 × 10^46
Step-by-step explanation:
(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46
Can someone please help me with this
Step-by-step explanation:
when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.
and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.
and all angles around a single point on one side of a line are together 180°.
because of all that,
angle 2 = angle 3 = angle 6 = angle 7 = 76°
angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°
Welcome to Gboard clipboard, any text you copy will be saved here.
Answer:
yooo i got the new rank im now expert :0
Step-by-step explanation:
XD