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Gennadij [26K]
3 years ago
14

Evaluate 1.1.075 + 21.67 3.15 ​

Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

√ 96

log

(100 )

3 ^5 / 3

Step-by-step explanation:

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1. a. Is 3.2 - 5.7 positive, negative, or<br> zero?<br> (A. negative<br> B. zero<br> C. positive
swat32
3.2-5.7=-2.5 so its have to be a negative because a smaller number subtract a bigger number have to be equal to a negative number.
4 0
3 years ago
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Find the slope of the line that passes through (4,2) and (4,5)
Hunter-Best [27]

Answer: Undefined

Step-by-step explanation:

(slope = m)

m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{4-4}=\frac{3}{0}

(3 divided by 0 is undefined, so the slope is undefined)

4 0
3 years ago
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and
hammer [34]

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

3 0
3 years ago
8. Solve the measurement conversion problem. 8 ounces=1cup. Multiply 24x4 then convert to cups
taurus [48]
I believe the answer is D

Because 24x4 is 96
3 0
2 years ago
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