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2 years ago

Solve the following inequality. 6.37 <-45.36 Which graph shows the correct solution?

Mathematics

1 answer:

ale4655 [162]2 years ago

6 0

Answer:

third number line

Step-by-step explanation:

6.3r < -45.36

r < -7.2

it can't be the first two because those values are 71, 70 etc and we need 7.1, 7.2 etc

and r is less then -7.2

So it has to be the third one

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$22.00+$14.00= <br> answer this

Zigmanuir [339]

Answer:

$36

Step-by-step explanation:

22+14=36

6 0

2 years ago

If I have $1,050 dollars, and I want to buy something 6 times for $45 dollars, how much times can I buy it until I run out of mo

joja [24]

Answer:

140

Step-by-step explanation:

here,

You have 1050

now

$1050(45×6)

=140 items

8 0

2 years ago

The area of a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft. is_______ a0. Type a numerical answer

Snowcat [4.5K]

Area of the triangle = (1/2)*base*height

For right triangle base and height can be legs.

We have one leg = 5 ft. (Lets think it is a base.)

We need to find the other leg.

We are going to use Pythagorean theorem.

5² + b²=13²

b²=144

b=12 (It is going to be our height.)

Area of the triangle = (1/2)*5*12= 30 ft²

Area of the triangle = 30 ft²

5 0

3 years ago

One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an

andre [41]

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.

5 0

3 years ago

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what i

Kruka [31]

Answer:

measure of ∠ABD = 42°

Step-by-step explanation:

Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)

In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:

minor arc AC + minor arc CD + minor arc AD = 360°

Then,

minor arc AD = 360° - minor arc AC - minor arc CD

minor arc AD = 360° - 72° - 132°

minor arc AD = 156°

Replacing in the aforementioned formula:

Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)

∠ABD = (1/2)*(minor arc AD - minor arc AC)

∠ABD = (1/2)*(156° - 72°)

∠ABD = 42°

8 0

2 years ago