All categories

3 years ago

Can someone help with the first question on he sheet thanks

Mathematics

1 answer:

Novay_Z [31]3 years ago

3 0

The first figure is a rectangle. Rectangles are known for having four right angles. Thus, one of the angles in this figure is 90 degrees.

The second figure is an equilateral triangle. Because all its sides have the same length, the angles are all the same. There is a principle stating that the sum of the 3 interior angles of a triangle is 180 degrees. Thus, the measure of one of these 3 angles is 180 degrees / 3 = 60 degrees.

You might be interested in

Mike's Music charges $45 per hour. Tim's Tunes

klemol [59]

Answer:

Answer 4. (5 1/3 hours)

Step-by-step explanation:

240/45=5.333333333

5 0

2 years ago

Read 2 more answers

Of the mean, median, and mode, which is (are) affected by outliers?

juin [17]

Answer:

C) the mean and median

Explanation:

Mean is affected alot, while the median is some what affected.

8 0

2 years ago

Theresa pays $9.56 for 4 pounds of tomatoes. What is the cost of 1 pound of tomatoes?

photoshop1234 [79]

Answer:

$2.39

Step-by-step explanation:

to find the cost of 1 pound , divide the cost of 4 pounds by 4

$9.56 ÷ 4 = $2.39

8 0

1 year ago

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0

2 years ago

For what power of q is its value 1?

DedPeter [7]

Answer:

0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

q^x = 1

This is solved using logarithms.

x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

x = 0

log(q) = 0 ⇒ q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.

_____

<em>Additional comment</em>

The applicable rule of logarithms is ...

log(a^b) = b·log(a)

4 0

1 year ago