Answer:
1.25
Step-by-step explanation:
Answer:
y = 2x + 54
Step-by-step explanation:
slope of equation:
(y2-y1)/(x2-x1)
= (72-58)/(9-2)
= 14/7
= 2
y = 2x + b
58 = 2(2) + b
58 = 4 + b
b = 54
We have to draw the model for 42 divide 7 . In order to draw the model we use below steps.
- Draw 7 boxes to represent 7 groups.
- Assume 42 as the number which represents the total of these 7 groups.
- Put a question mark at the first box.
Attached is the model to represents 42 divide 7 .
In the question mark we should put 6. Hence, when we add 6 to 7 times that will be equal to 42.
Answer:
1. x = 2√3 or 3.46
2. y = 4√3 or 6.93
3. z = 4√6 or 9.80
Step-by-step explanation:
1. Determination of the value of x.
Angle (θ) = 60°
Opposite = 6
Adjacent = x
Tan θ = Opposite /Adjacent
Tan 60 = 6 / x
√3 = 6/x
Cross multiply
x√3 = 6
Divide both side by √3
x = 6 / √3
Rationalise
x = (6 / √3) × (√3/√3)
x = 6√3 / 3
x = 2√3 or 3.46
2. Determination of the value of y.
Angle (θ) = 60°
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 60 = 6/y
√3/2 = 6/y
Cross multiply
y√3 = 2 × 6
y√3 = 12
Divide both side by √3
y = 12/√3
Rationalise
y = (12 / √3) × (√3/√3)
y = 12√3 / 3
y = 4√3 or 6.93
3. Determination of the value of z.
Angle (θ) = 45°
Opposite = y = 4√3
Hypothenus = z
Sine θ = Opposite /Hypothenus
Sine 45 = 4√3 / z
1/√2 = 4√3 / z
Cross multiply
z = √2 × 4√3
z = 4√6 or 9.80
Answer:
Read this passage from Through the Looking-Glass.
She looked at the Queen, who seemed to have suddenly wrapped herself up in wool. Alice rubbed her eyes, and looked again. She couldn't make out what had happened at all. Was she in a shop? And was that really—was it really a SHEEP that was sitting on the other side of the counter? Rub as she could, she could make nothing more of it: she was in a little dark shop, leaning with her elbows on the counter, and opposite to her was an old Sheep, sitting in an arm-chair knitting, and every now and then leaving off to look at her through a great pair of spectacles.
“What is it you want to buy?” the Sheep said at last, looking up for a moment from her knitting.
“I don't QUITE know yet,” Alice said, very gently. “I should like to look all round me first, if I might.”
“You may look in front of you, and on both sides, if you like,” said the Sheep: “but you can't look ALL round you—unless you've got eyes at the back of your head.”
The tone of this passage is best described as
serious and reflective.
scientific and factual.
light and romantic.
imaginative and humorous.Step-by-step explanation:
