If they are the sides of rectangle, then it's perimeter would be:
2(l+b) = 2(24.5+31.7) = 2(56.2) = 112.4
A
a) y+6x=5 if x= -1 then y+6(-1)=5 then y = 11
b) same thing if x = 3 then y+6(3)=5 y+18=5 subtract both sides by -18 and leave y on left then add 5+(-18)= 13 then y=13
B same as above
question (a) asks you to solve for y because x is -2
(b) asks you to solve for x because y is known
3x+2y=-6 if y = 3 you write 3x+2(3)=-6 3x+6=-6 move the +6 over to right side by subtracting 6 from both side 3x=-6 + -6 so 3x=-12 to get rid of the 3 and only leave the x you want to divide both side by 3 then x= -12/3 then the answer would be x=-4
Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59
°.
Using sine ratio
sin 48.59
° = opposite/hypotenuse
sin 48.59
° = 24/JL
cross multiply
JL sin 48.59
° = 24
divide both sides by sin 48.59
°
JL = 24/sin 48.59
°
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
Answer:
Phrase : "the product of 19 and a number"
Mathematical expression : 19A
Step-by-step explanation:
Phrase : "the product of 19 and a number"
The product of two numbers a and b can be written as a x b =ab
<u>To find Mathematical expression
</u>
Let A be a number,
The product of number with 19 can be written as
19 x A = 19A
Therefore the given phrase "the product of 19 and a number" as a mathematical expression =19A
Answers:
C, D, E
Step-by-step explanation:
A rational number is a integer. It is also a terminating or repeating decimal.
A rational number can be written as a fraction of two integers.
Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.
Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.
Answer C is rational because it has a terminating decimal.
D and E are integers, which also can be written as fractions.
Out of the options given, C, D, and E have rational numbers, while all others do not.
The answers are C, D, and E.
