2 years ago

Find the distance between the points (-6,7) and (0,8)

1 answer:

8 0

We can solve this problem by using the distance formula. The distance formula is: $\sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}}$ We can now put in values and solve.

$\sqrt{(-6-0)^{2} + (7-8)^{2}}$

$\sqrt{36 + 1}$

$\sqrt{37}$

You might be interested in

In a survey of students, 80% were girls and 20% were boys. of the girls surveyed, 40% were wearing sneakers. if a surveyed stude

prisoha [69]

Answer:

$\frac{8}{25}$

Step-by-step explanation:

probability of selecting a girl from students is $\frac{4}{5}$

probability of girl wearing sneaker from girls is $\frac{4}{10}$ or $\frac{2}{5}$

hence, probability of selecting a girl wearing a sneaker will be,

⇒ probability = probability of delecting a girl from students × probability of girl wearing sneakers from girls

⇒ probability = $(\frac{4}{5})( \frac{2}{5})$

⇒ probability = $\frac{8}{25}$

3 0

2 years ago

Ronelle asked 100 students to choose their favorite subject from among mathematics, history, and art. She found that 22 students

gayaneshka [121]

Number of students that chose art = 100-(22+26) = 100- 48 = 52

so percentage of students who chose art = 52%

6 0

2 years ago

Read 2 more answers

Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertica

Lera25 [3.4K]

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

8 0

2 years ago

The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Als

krok68 [10]

Answer:

Step-by-step explanation:

Rate of change is another way of saying "find the gradient".

Sub any value into the gradient formula.

3 0

2 years ago

Find the dependent and independent variable in r = 5s + 3.

Firdavs [7]

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

3 0

2 years ago