a boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

Answers

Answer 1

Answer:

56.3

6.6

Step-by-step explanation:

A Boat Traveled 19 Kilometers East And 53 Kilometers South, How Far From Its Starting Position Is It?A
Answer 2

Answer:

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?: √3170≈56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?: √44.19≈6.65 ft.

Step-by-step explanation:

For these questions, we will need to use the pythagorean theorem: a²+b²=c², where a and b are the legs of the right triangle and c is the hypotenuse.

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

In this question, we are looking for the hypotenuse.

19 and 53 are the legs of the triangle, so we can plug it into the equation:

19²+53²=c²

361+2809=c²

3170=c²

√3170=c

56.30275304103699, or approximately 56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

25 is the hypotenuse since it is leaning sideways and is the longest side. 24.1 is one of the legs.

In this question, we are looking for one of the legs.

Let's plug it in: 24.1²+b²=25²

580.81+b²=625

Subtract 580.81 from both sides.

b²=44.19

b=√44.19

6.647555941848102, or approx. 6.65 ft.


Related Questions

help pleaseeeee!!!!! i stg if no one answers correctly im gonna have another mental breakdown

Answers

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

A grocery store is offering a sale on bread and soup. Kacey buys four cans of soup and three loaves of bread for $12.35. Fernando buys eight cans of soup and one loaf of bread for $13.05. a. Write equations for both Kacey's and Fernando's purchases.

Answers

Answer:

[tex]4x+3y=12.35-------------1\\\\x+8y= 13..05-------------2[/tex]

Step-by-step explanation:

Given data

let bread be x

and soup be y

Kacey buys four cans of soup and three loaves of bread for $12.35

4x+3y=12.35-------------1

Fernando buys eight cans of soup and one loaf of bread for $13.05

x+8y= 13..05-------------2

Hence the equation for both of their purchase is [tex]4x+3y=12.35-------------1\\\\x+8y= 13..05-------------2[/tex]

Pls I need help I only have 1:30 mins left

Answers

Answer:

if you still need help i think 1 should go outside the venn

3 goes in both since a parallelogram has rotational symmetry of order 2 and its a quad

4 also goes in both

5 goes outside

Step-by-step explanation:

which similarity theorem can be used to prove the two triangles below similar ?


A: sss similarity theorem
B. aa similarity theorem
C. sas similarity theorem
D. not similar

Answers

The similarity theorem that proves the two given triangles are similar is: B. AA similarity theorem.

Recall:

The angle-angle similarity theorem (AA) states that if two angles in one triangle are of the same measure with two corresponding angles in another triangle, both triangles are similar to each other.

In the image given:

[tex]\angle F[/tex] in [tex]\triangle ETF[/tex] is congruent to [tex]\angle U[/tex] in [tex]\triangle VTU[/tex] ([tex]\angle F = \angle U = 78[/tex])

[tex]\angle ETF = \angle VTU[/tex] (vertical angles are equal)

This implies that two angles in [tex]\triangle ETF[/tex] are congruent to two corresponding angles in [tex]\triangle VTU[/tex].

Therefore, both triangles can be proven to be similar by the angle-angle similarity theorem (AA).

Learn more about angle-angle similarity theorem (AA) here:

https://brainly.com/question/11289488

give me the most DETAILED explanation.

6 + 6 - 6 x 6 ÷ 6 = ?

Answers

6+6-6*1

6+6-6

12-6

6 is the answer

Why thank you for helping me and I will mark brainliest if you’re right :)

Answers

Answer:

Choice #1)  4.7 cm

Step-by-step explanation:

circumference of full circle = 2(r)(3.14)

a full circle would be = 2(3)(3.14) = 18.84 cm

It is 1/4 circle so 18.84/4=4.7 cm

Answer:

10.7

Step-by-step explanation:

1. I first grabbed a ruler to measure the other straight side of the figure.

2. Both of the straight sides were 3 cm so I knew that the answer had to be greater than 6 cm.

3. I then estimated that the other side was longer than the 3 cm.

4. I then had to my logic to figure out the answer and I very quickly realized that 4.7 cm would not make since because that is less than 6 cm. I know 7.7 cm would not make since because I knew the curved side was longer than 3 cm not shorter. 18.8 cm did not make since because that answer has WAY to much cm. Using the process of elimination, 10.7 cm was the only answer that made since.

Please help with math ASAP, will give brainliest!!

Answers

Answer:

Step-by-step explanation:

center (-1, -2) , trough point ( 6, 4)

equation of the circle

r² = (x-h)²+(y-k)², where (h, k) are the coordinate of a circle so h=-1, k=-2

r² =(x+1)²+(y+2)², but (x, y ) are coordinates for any point on the circle so x=6 and y= 4

r² =(6+1)²+(4+2)²

r²= 7² +6²

r²= 85

so the equation is

(x+1)²+(y+2)²= 85

to find the points on the circle substitute in the equation x and y

(-10+1)²+(0+2)²= 85 ; 85=85 true

so the pint on the circle is (-10, 0)


Susana runs 2 3/4 miles every 1/4 hour. Enter the number of miles Susana can run in 1 hour

Answers

Answer:

Step-by-step explanation:

If Susana runs 2 3/4 miles per 1/4 hour

in one hour

2 3/4=11/4

1h=11/4 *4=11 miles

11 miles/hour

what's the answer to 9 x (-6)=

Answers

Answer:

-54

Step-by-step explanation:

a positive times a negative is a negative always

Answer:

Answer: -54

Multiply them and add a negative symbol

what is the solution or -3y+1≥7​

Answers

the answer is

[tex]y \leqslant - 2[/tex]

Jim is making salsa. His recipe calls for 3 1 3 cups of tomato sauce for every 1 6 cups of cilantro. If Jim has 1 cup of cilantro, how many cups of tomato sauce will he need?

Answers

Answer: 20 cups of tomato

Step-by-step explanation:

From the question, we are informed that Jim is making salsa and that his recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of cilantro.

If Jim has 1 cup of cilantro, thus simply means that he has multiplied the previous cup of cilantro by:

= 1 ÷ 1/6

= 1 × 6/1

= 6

Therefore, we would also multiply the cups of tomato by 6. This will be:

= 3 1/3 × 6

= 10/3 × 6

= 20 cups of tomato

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2200 seats. The students filled 1672 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

76% because 1672 divided by 2200 is .76 which means it’s 76%

express (x-6)^2 as a trinomial in standard form

Answers

Answer:

Step-by-step explanation:

(x - 6)(x -6) = x^2 - 6x - 6x + 36 = x^2 - 12x + 36

Answer:

x^2-12x+36

Step-by-step explanation:

like that or a different way

Find the measure of the missing angles. need help ASAP

Answers

sorry if it’s confusing i tried color coding it

the measure of angle 6 is 71.5 degrees

Answer: The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get Therefore, the value of is 36, when b=5.

Answers

7=36a%4ahhggyuuuhgfdfyyytg

Can someone help me I think I'm doing my math wrong

Answers

Answer:

Ay bruv I need to see the answer choices to help

Step-by-step explanation:

Please, help me out <3

Answers

Answer:

D

Step-by-step explanation:

Every input can only have one output for it to be considered a function. There are repeats of x values with different y values in all of these except for D so D is the correct answer.

1) The regular price of a shirt is $15. A store is offering a discount of 30%. What is the
discount price of the shirt? [Think: what are you finding, the part (discount), the percent,
or whole (original price)]

Answers

Answer:

$10.50

Step-by-step explanation:

15 times 30 = 4.5

15-4.5=10.50

PLEASE HELP
Chipotle Burritos are normal distributed with a mean length of 200mm and a standard deviation of 8mm. What is the probability that a burito picked at random is shorter than 190mm?

Answers

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls

Answers

Hai!

1. He is Considering 3 Themes: Space, Safari, and Comics.

2. He is Considering 2 Places: Skating rink and the Park.

3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.

4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday

5. There is 21 Possible Outcomes

Hope I helped. Best of luck! :3

Answer:

I’m just going to write the answers

Step-by-step explanation

1) answer: 3

2) answer: 2

3) answer:3

4) answer: safari,comics

5) answer: places:2  days:3

hope this helps u,u

What is the sum (2/5x + 5/8) + (1/5x - 1/4)?

a. 3/5x + 1/8

b. 3/5x + 3/8

c. 3/5x + 5/8

d. 3/5x + 7/8​

Answers

Answer:

[tex]\frac{3}{8} + \frac{3x}{5}[/tex]

Step-by-step explanation:

[tex]\left(\frac{2}{5}x + \frac{5}{8}\right)+\left(\frac{1}{5}x-\frac{1}{4}\right)[/tex] =

[tex]\frac{2}{5}x+ \frac{1}{5}x+ \frac{5}{8}- \frac{1}{4}[/tex] (Group Like Trems) =

[tex]\frac{3}{5}x+\frac{5}{8}-\frac{1}{4}[/tex] =

[tex]\frac{3}{8}+ \frac{3x}{5}[/tex]

Kate went to the store and bought some pants for $22 and 4 shirts. She spent a total of $52. How much did each shirt cost? Write an equation to represent this situation.

Answers

Answer:

$7.5

$22 + 4x = 52

Step-by-step explanation:

Given that:

Cost of pants = $22

Number of shirts = 4

Total spent = $52

Let the cost per shirt = x

Cost of pants + cost of shirts = total

$22 + 4x = 52

4x = 52 - 22

4x = 30

x = 30 / 4

x = 7.5

Cost per shirt = $7.5

Will give Brainliest!!!
What is the y=mx+b of the equation 5x−2y=16

Answers

Answer:


Y= 5/2 x - 8







What coefficients do you need to balance the following equation?

Answers

Answer:

4,3,2,6

Step-by-step explanation:

this is because all the atoms are in same number in reactants and products

can someone help me out it would be great if u can explain it.​

Answers

Answer:

113.1

Step-by-step explanation:

formula for circle is pie X radius^2

Susie ran a race. she ran 5 miles an hour and the race took her t hours to complete.

how long was the race ?

write your answer as an expression​

Answers

Answer:

5 x 2

Step-by-step explanation:

5 x 2 is the answer because it says she ran 5 miles and took 2 hours to complete!

Nine times a number ?

Answers

Answer:

9x

Step-by-step explanation:

In this case, 9 is being multiplied by a variable (x).

Hope this helped!! :)

Stay safe and have a wonderful day/afternoon/night!!!!

Brainliest?!?!

Triangle ABC has Vertices A(1, 2), B(3, 5), and C(4, 3). Using the origin as the center of dilation, Triangle ABC is dilated by a scale factor of 3 to create Triangle A ′ B ′ C ′ . Which statement can be used to justify that Triangle ABC is similar to Triangle A ′ B ′ C ′ ?

Answers

Answer:

AA ≅ AA postulate

Step-by-step explanation:

Given

[tex]A=(1,2)[/tex]

[tex]B = (3,5)[/tex]

[tex]C = (4,3)[/tex]

[tex]k = 3[/tex] --- scale factor

Required

Determine which statement that justifies the similarities between ABC and A'B'C'

When ABC is dilated by a scale factor of 3 to form A'B'C', the sides A'B'C are 3 times as large as the sides of ABC.

However, all three angles of both triangles remain the same. This is so, because dilation do not affect angles.

So, a statement that can be used to justify the similarities is:  AA ≅ AA

jack needs 22 pirates for every 2 pirate ships he manages ​

Answers

Answer: 55:5 121:11

Since the ration is 11:1 then all you have to do is multiply x times y example: 5x11= 55 pirates

Chester has $234 in his savings. At his job he earns $11.50 per hour. Jamie has already saved $273

Answers

Answer:

whats the question

Step-by-step explanation:

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