Answer:
7.2 cm
Step-by-step explanation:
The adjacent interior angles of a rhombus must be supplementary.
Let ABCD be the rhombus whose area is 40 cm².
Let the diagonals AC and BD intersect at O.
If s is the side, one-half diagonal = s× sin(25) and the other is s× sin(65) = s × cos(25)
Area of a rhombus = ½× (a×b)²× sin(ø)]
side length, a = b
Area of rhombus = ½× s² × sin(25)cos(25)
40 cm² = ½ × s² × sin(25)cos(25)
sin(a)cos(b) = 2[sin(x+y)+sin(x-y)]
sin(a)cos(b) = 2[sin(x+y)+sin(x-y)] Since x = y = 25°
sin(a)cos(b) = 2[sin(x+y)+sin(x-y)] Since x = y = 25°sin(a)cos(b) = 2[sin(x+y)]
》40 cm² = ½ × s² × 2sin(50)
》40 cm² = s² × sin(50)
[tex] {s}^{2} = \frac{40}{ \sin(50) } \\ s = \sqrt{ \frac{40}{ \sin(50) } } [/tex]
s = 7.2260841106 cm
Therefore, the length of the side of a rhombus, s is 7.2 cm
In 2004 a certain oil company spent sh 1740000 on crude oil import .This was a 20%increase 0ver the money on crude oil import in 2003.
a) How much did the company spend on crude oil import in 2003.
b)What was the difference in the money spent on crude oil import in the two years?
Answer:
a = 1,450,000
b = 290,000
Step-by-step explanation:
A: 1,740,000 = x*1.20
1,740,000/1.2 = x1.20/1.20
1,450,000 = x
B: 1,740,000 - 1,450,000 = 290,000
for real values of x, the expression 2x-5 is negative
Answer:
(a+b) (a-b)
2x-5
x(-5+2)
x-3 x+3
-7(8d+3z)+6 use z=-4 and d=7
Simplified is?
Answer:
-302
Step-by-step explanation:
z=-4
d=7
-7(8d + 3z) + 6
-7(8(7) + 3(-4)) + 6
-7(56 - 12) + 6
-302
Please help, ill give brainliest, only if its right
Answer:
it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d
evaluate the expression (-2) - ( -5)
Answer:
The answer is 3
Step-by-step explanation:
(-2)+5=3
James had “x” amount of jellybeans. Jordan had twice the amount of jellybeans than James. If they had a total of 72 jellybeans altogether, how many jelly beans did James have?
The lyric, "Historians research more than just the word of one/To learn all sides of history" most closely means that
Which?
Answer:
I would say C
Step-by-step explanation:
I said C because when people look for information they look at different sources instead of just one.
The following shapes are similar. AB : IJ is 5:1 and the length of FE is 30. What is the length of NM?
Answer:
6
Step-by-step explanation:
5:1
30:6
multiply by 6 so its 6
A plant is already 12.00 meters tall and it will grow 20 cm every month.what is the plants height after 30 months
Answer:
18 m
Step-by-step explanation:
Hi there!
We're given:
⇒ The plant is already 12 m tall
⇒ It grows 20 cm every month
First, we must convert everything into the same unit. Divide 20 cm by 100 to convert it to meters:
20 ÷ 100 = 0.2
Now, we can form this equation:
Plant Height = 12 m + (0.2 m × number of months)
Let plant height be h and number of months be m:
[tex]H=12+0.2m[/tex]
To find the plant's height after 30 months, replace m with 30:
[tex]H=12+0.2(30)\\H=12+6\\H=18[/tex]
Therefore, the plant would be 18 m tall.
I hope this helps!
what are exponents??????
Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
Answer:
The definition of Loam is soil composed mostly of sand, silt, and a smaller amount of clay. By weight, its mineral composition is about 40–40–20% concentration of sand–silt–clay, respectively.Nicole had the exact amount of money to buy 9 pens.
Instead she bought only 5 pens.
She used the rest of the money to buy 7 notebooks at $1.20 each.
How much money did Nicole have at first?
Answer:
18.90$
Step-by-step explanation:
Pen = p
Notes = n
n = 1.20
5p + 7n = 9p
-9p + 5p + 7n = 0
-4p + 7n = 0
-4p + (7*1.2) = 0
-4p + 8.4 = 0
8.4/4 = p
2.1 = p
9p = 9*2.1
9p = 18.90$
Can someone help me???
Which of the following is equal to 1/2 or -1/2? Check all that apply.
Sin (7π/6)
Sin (4π/3)
Cos (5π/3)
Cos (π/6)
Cos (5π/6)
Sin (5π/6)
Answer:
Cos (5π/3)
Cos (π/6)I think this one
Answer:
Below in bold.
Step-by-step explanation:
The sine is positive in the first and second quadrants and negative in other 2.
The cosine is positive in the first and 4th quadrants and negative in other 2.
Note that sin(pi/6) = 1/2 and cos(pi/3 = 1/2).
sin(7pi/6) = 1/2
cos(5pi/3) = 1/2
sin(5pi/6) = 1/2
what is 3/4 x 3 + 2/4 + 1 = ????
as a whole number
Answer:
3/4×3 = 2.25
2/4×1= 0.5
Step-by-step explanation:
how it helps u
If (x + 4)^2 = 49 and x < 0. what is the value of x?
Answer:
x = -11
Step-by-step explanation:
To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.
-11 + 4 = -7
(-7)^2 = 49
Answer:
x = -11
Step-by-step explanation:
To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.
18. The cost of a television set recently increased from $160 to $200. What was the percent of increase in the price?
(A) 25
(B) 20
(C) 1/4
(D) 1/5
(E) 40
Answer:
25%
Step-by-step explanation:
Take the new price and subtract the original price
200-160
40
Divide by the original price
40/160
1/4
.25
Change to percent form
.25 *100%
25%
SOMEONE HELP ME PLEASE
Answer:
25.7
Step-by-step explanation:
PQ=PR-QR
PQ=38.3-12.6
PQ=25.7 cm
Answer: PQ = 25.7 cm
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
PR = 38.3 cm
QR = 12.6 cm
Given expression deducted from the segment addition postulate
PQ = PR - QR
Substitute values into the expression
PQ = (38.3) - (12.6)
Simplify by subtraction
PQ = [tex]\boxed{25.7cm}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
“If I drink I die, if I eat I live. What am I?”
Answer:
fire ...............
Answer:
fire
Step-by-step explanation:
.....................
URGENT!!. Find the perimeter and area
9.85 m
15 m
11 m
9m
hope its helps
Step-by-step explanation:
total area = 99m² + 39.4m²
= 138.4m²
please help with me #15 and #16
Answer:
just solve equation and you will get to know that
15 is d becoz both 8 gets cancelled
and
16 is b becoz then equation is simplified to x = smthng
is this right ,and if not respond quickly
Answer:
Q.3 It takes 490 seconds for light to get from the sun to the earth should light travel at the above-mentioned speed.
is Distance is never negative.
Answer:
Yes, distance is never negative.
Answer:
No, distance is a postive if it was a negative number then yes
Step-by-step explanation:
Hope this help and Have good rest of your day or night
From the given figure, find the value of x and y:
pls pls pls answer my question
Answer:
have a great day
god is great
7 tens x 10 in standard form
Answer:
700
Step-by-step explanation:
7 tens is 70. 70*10=700.
6x10^-3 in standard notation
Answer:
0.006
Step-by-step explanation:
The number is currently in scientific notation. To change scientific notation into standard notation move the decimal place equal to the number of the exponent. In this case, the exponent is -3. So, move the decimal place 3 digits. Since the 3 is negative, move the decimal to the left. Therefore, 6.0x10^-3 becomes 0.006 because the decimal was moved 3 places to the left. When moving the decimal fill in any empty spaces with zeros.
Is the image an example of a ray?
B
A
O Yes; AB has an endpoint and continues in one direction forever.
O Yes; AB is one-dimensional.
O No; AB continues forever in both directions.
O No; AB has two endpoints.
Answer:
O No; AB has two endpoints.Step-by-step explanation:
Ray - a continuous line therefore, do not have two endpoints.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
AB is not a ray. It has two endpoints.
What is ray?"It is a part of a line that has a fixed starting point but no end point."
For given example,
We have been given a part of a line AB.
The starting point is A and the end point is B.
We know, one of the end of the ray is denoted by arrow.
Since both the ends of given figure are fixed, it is not ray.
AB is called as line segment.
Therefore, AB is not a ray. It has two endpoints.
Learn more about ray here:
https://brainly.com/question/17491571
#SPJ2
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
hlo can u tell the anser plz fast
charlie wants to order lunch for his friends he'll order 5 sandwiches and a $3 kids meal for his little brother. charlie has $28 . how much can he spend on each sandwich if they are all the same price?
Answer:
$5 for each sandwich.
Step-by-step explanation:
$28 - $3 = $25 (money left after purchasing meal for his little brother)
$25 / 5 sandwiches = $5
1. a. How many times 45 be subtracted from 20835 to get 0?
Answer:
463
Step-by-step explanation:
Division is repeated subtraction
So to get 0, we divide 20835 by 45
=> 20835/45
=> 463
The cube of a whole number is 48 more
than the square of the same number.
What is the number?
Answer:
x = 4
Step-by-step explanation:
Let the number = x
x^3 = x^2 + 48
x^3 - x^2 - 48 = 0
The answer is 4, but I have no method of doing this rigorously. I can just show that it is true.
x^3 = 4^3 = 64
x^2 = 4^2 = 16
64 - 48 = 16