Mara ran 3km north ad then 4km east. she will finish her run by running directly home. What is the total distance of her run

Answers

Answer 1

So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add that distance to 3 and 4.
By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
So the total distance of her run is 5+4+3=12 km

Answer 2

You can solve this with the Pythagorean theorem.
[tex] {3}^{2} + {4 }^{2} = {c}^{2} [/tex]
9+16=25, and the square root of 25 is 5. This is your answer.

Related Questions

Joey got a 25% raise on his salary. if his original salary was 1,200, how much was it after the raise was implemented?

Answers

The new salary would be 1,500 since when we took .25 of 1,200, we got 300. We then added this to 1,200 to get 1,500.

estimate the difference between 9,030 and 738

Answers

The way you can estimate this easily is to round 9,030 and 738 to the ones place.

9,030 ⇒ 9,000
738 ⇒ 700

9,000 - 700 = 8,300

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+ By=C. (3,2) and (5,8)

Answers

The equation of the line passing through points (3,2) and (5,8) in the form of Ax+By=C will be written as follows:
equation of the line is given by the formula:
a(x-x1)=y-y1
where a is the slope
a=(y-y1)/(x-x1)
thus using our values:
a=(8-2)/(5-3)=6/2=3
thus the equation of the line will be:
3(x-3)=y-2
simplifying the above and writing in the form of Ax+By=C we shall have:
3x-9=y-2
3x-y=-2+9
3x-y=7
thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7

A patient is given a 50 mg dose of medicine the medicines effectiveness decreases every hour at a constant rate of 40% what is the exponential decay function that models this scenario how much medicine will be left in the patient's system after two hours

Answers

exponential decay formula is
[tex]y = a(1 - r)^{x} \\ y = 50(1 - .40) ^{x} [/tex]
x= hours past
[tex]y = 50(1 - .40)^{2} \\ y = 18[/tex]
after 2 hours, there are 18 mg of medicine left

Answer:

[tex]A=50(0.6)^x[/tex]

18 mg of medicine will be left in the patient's system after two hours.

Step-by-step explanation:

Given,

The initial quantity of the medicine, P = 50 mg,

Also, it decreases every hour at a constant rate of 40%

That is, r = 40 %,

Thus, the quantity of the medicine after x hours,

[tex]A=P(1-\frac{r}{100})^r[/tex]

[tex]=50(1-\frac{40}{100})^x[/tex]

[tex]=50(1-0.4)^x[/tex]

[tex]=50(0.6)^x[/tex]

Which is the required exponential decay function that models this scenario.

The quantity of the medicine after 2 hours,

[tex]A=50(0.6)^2=18\text{ mg}[/tex]

Make up an equation of the form y = kx +b, the graph of which passes through the following points: C (–19, 31) and D (1, –9)

Answers

Try this way:
it is possible to make up the system of two equations using the coordinates of points C and D:
31=k*(-19)+b - if to substitute the coordinates of point C;
-9=k*1+b - if to substitute the coordinates of point D.
[tex] \left \{ {{-19k+b=31} \atop {k+b=-9}} \right. \ =\ \textgreater \ \ \left \{ {{20k=-40} \atop {k+b=-9}} \right. \ =\ \textgreater \ \ \left \{ {{k=-2} \atop {b=-7}} \right. [/tex]
y=-2x-7

answer: y=-2x-7

the square in this figure has a side length of 14 inches. the radius of the quarter circle is 7 inches. what is the estimate area

Answers

The area of the shaded region is 42.14 square inches.

How the area of the shaded region is determined:

We are given a square with side lengths of 14 inches, and each corner of the square has a quarter circle with a radius of 7 inches. We need to find the area of the shaded region, which is the area of the square minus the area of the quarter circles.

To calculate the area of the figure, we need to consider both the square and the quarter circles.

1. Calculate the area of the square:

The square has a side length of 14 inches.

Area of the square = [tex]side^2[/tex] = [tex]14^2[/tex] = 196 square inches

2. Calculate the area of the quarter circles:

The quarter circle has a radius of 7 inches.

The area of a full circle is given by:

Area of the circle = [tex]\pi r^2[/tex]

Area of the quarter circle = 4/4 x [tex]\pi r^2[/tex]

= 1 x 3.14 x [tex]7^2[/tex]

= 153.86 square inches

Therefore, the area of the shaded region = Area of the square - Area of the quarter circles:

= 196 - 153.86

= 42.14 square inches

Complete Question:

The square in the figure has a side length of 14 inches. The radius of the each quarter circle is 7 inches. What is the area of the shaded region?

Someone please help I only have enough points for one use.

Answers

a-- i) 4/25 ii) 2/15
b . i)6/25 ii) 4/15

I would apprectiate a 5 star review and a Brainliest

Use parametric equations of the ellipse, ???? 2 16 + ???? 2 9 = 1, to find the area that it encloses in the first quadrant.

Answers

This one is tough, I’m not sure the answer either. Sorry

Greg has 8/9 of a small box of cereal. He also has 5/6 of a pint of milk . He needs to pour 2/3 of each into a bowl.

Answers

Missing questions:
How much cereal was poured? How much milk was poured?

Solution:
Cereal poured = 2/3 of 8/9 of a small box of cereal = 8/9*2/3 = 16/27 of a small box of cereal.

Milk poured = 2/3 of 5/6 pint of milk = 5/6*2/3 = 5/9 pint of milk

what is 12.81 repeated rounded to the nearest hundredth

Answers

In order to round to the nearest hundreth,, we must look at the second number behind the decimal. If this number is smaller than 5 then we round down,, but if it is 5 or larger then we round up. Looking at the second number from the decimal point,, you can see that it is smaller than 5. This means that we round down to make our final answer 12.8.
Let me know if you have any further questions.
:)

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

Answers

Answer:

[tex]ln(x - 1) = ln(\frac{6}{x})[/tex]

Step-by-step explanation:

[tex]ln(x - 1) = ln6 - lnx[/tex]

To solve for x we need to simplify the ln

To simplify logarithmic function we use log property

[tex]ln(a) - ln(b) = ln(\frac{a}{b})[/tex]

we apply the same property on the right hand side of the given equation

[tex]ln(x - 1) = ln6 - lnx[/tex]

[tex]ln(6) - ln(x) = ln(\frac{6}{x})[/tex]

[tex]ln(x - 1) = ln(\frac{6}{x})[/tex]

This is the first step in solving the given equation

Two friends bring hamburger meat to your cookout. One brings 2.7 pounds, and the other brings 3.54 pounds. How much hamburger meat do they bring?

Answers

Answer:
They bought 6.24 pounds of hamburger meat

Explanation:
We are given that:
The first friend brought 2.7 pounds of hamburger meat
The second friend brought 3.54 pounds of hamburger meat

The total amount of hamburger meat they both brought would be simply the summation of what they brought individually.

This means that:
Total amount brought = 2.7 + 3.54
Total amount brought = 6.24 pounds of hamburger meat

Hope this helps :)

will give braniliest....... Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom put on the plate, if after Ed took 6 there number of plums on the plate became the same as the number of apples?

Answers

There would be 18 plums and 12 apples. Or, 18:12. If Ed ate 6 plums, then the ratio is 12:12
So she would have put 30 fruits (18 plums and 12 apples) on the plate
Hope this helps!

An eagle can fly at a speed of 50 mph and a starling can fly at 78 mph. How far will the starling fly in the time it takes the eagle to fly 125 miles?

PLZ HELP ASAP!!!!!!
20 POINTS!

Answers

The starling would fly 195 miles

1.
50*x=125
x=2.5

2.
2.5 * 78 = 195 miles

Answer:

195 miles

Step-by-step explanation:

50*x=125

x=2.5

2.5*78=195miles

which expression is in simplified form for the given expression and states the correct variable restriction u+3/u^2-9

Answers

Simplifying the expression given we shall have:
(u+3)/(u²-9)
factorizing (u²-9)=(u-3)(u+3)
thus plugging the substitute in the expression we shall have:
=(u+3)[(u-3)(u+3])
=1/(u-3)
Hence the answer is 1/(u-3)
u can take any values except 3.

Henry cut a piece of yarn that was 11/6 into two pieces. List to different pairs of fractions that could show the lengths , in feet , of the two pieces.

Answers

you could have 11/12 or 22/24

what is a verbal expression?

Answers

A mathematical verbal expression is a translation into words of an algebraic expression that can consist of different operations, numbers and varibles ur welcome.

For example, the following is a verbal phrase: "John went to the store and bought five apples. Each apple cost $1.25. How much did John spend before tax?" To translate it to a verbal model, the problem solver represents the problem in simplified words that represent the cost of the apple times the number of apples bought. To translate it further to a mathematical phrase, the problem solver puts numbers in the problem: "$1.25 times 5."

Logarithmic Functions Question, Many Points
I got the first part of this question correct, I believe.
I was supposed to find the graph with a base of 3 (attached), but now I need to justify my answers, which I don't understand. Here are the choices:

The graph of f(x)= log_3 x+c must intersect with the line y= c+1 when x= 3.

The graph of f(x)= log_3 x+c must intersect with the line y= c when x= 3.

The graph of f(x)= log_3 x+c must intersect with the line x= c when y= 3.

The graph of f(x)= log_3 x+c must intersect with the line x= c+1 when y= 3.

Answers

The best choice appears to be the first one.
The graph of [tex]f(x)=\log_{3}(x)+c[/tex] must intersect with the line y= c+1 when x= 3.

_____
See the attachment for plots of base-3 logarithms. Note that when [tex]c=1.4[/tex], the value of f(3) is 1 more than the value of [tex]c[/tex].

Solve the equation <(a-5)-5=3

Answers

The first step for solving the equation (a - 5) - 5 = 3 is to remove the parenthesis.
a - 5 - 5 = 3
Calculate the difference between -5 and 5.
a - 10 = 3
Now move the constant to the right side of the equation and change its sign.
a = 3 + 10
Add the numbers on the right side together to get your final answer.
a = 13
Let me know if you have any further questions.
:)

Which pair of triangles can be proven congruent by using the HL theorem?

Answers

Answer: figure C.

Explanation:

The HL theorem is the hypotenuse leg theorem.

The HL theorem is referred to the congruency of right triangles.

This theorem states that two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Figure A shows the congruency of two pairs of legs. So, this is not the answer.

Figure B shows the congruency of one pair of legs and one pair of angles. So, this is not the answer.

Figure C. shows the congruency of the two hypotenuses and one pair of legs. So, this is the righ answer.

Find the lengths of the sides of the right triangle?

Answers

You can guess from your knowledge of Pythagorean triples that the triangle is a 5-12-13 right triangle. Since one side is 7 less than the other, this guess is confirmed.

The lengths of the sides are:
2x = 12
2x -7 = 5

_____
You can use the Pythagorean theorem to write the relationship between the sides.
(2x)² +(2x -7)² = 13²
4x² +4x² -28x +49 = 169 . . . . . eliminate parentheses
8x² -28x -120 = 0 . . . . . . . . . . . put in standard form
4(2x² -7x -30) = 0 . . . . . . . . . . . factor out 4
(x -6)(2x +5) = 0 . . . . . . . . . . . .. divide by 4 and factor further
x = 6, -5/2 . . . . . . . . . . . . . . . . .. only the positive solution (x=6) is useful
Then 2x = 12; 2x-7 = 5.

6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.

$30,506.32

$126,346.32

$51,054.38

$85,027.44

Answers

If P = Periodic payments done quarterly (that is, four time in a year) = $5,200, n = number of years (5), R = Annual interest rate = 8% = 0.08, and A = Amount to be set aside today, then

A = P [1-(1+R/4)^4n]/(R/4) = 5200 [1-(1+0.08/4)^4*5]/(0.08/4) = $85,027.45

Therefore, Valdez construction should set aside $85,027.44 now to satisfy the capital requirement.

simplify 3.2-5.1n-3n+5

Answers

The answer is
-8.1n+8.2

To do this you have to combine terms that are alike

3.2+5= 8.2
-5.1n-3n= -8.1n

Now you combine the two and get an answer of -8.1n-8.2

Given that tan^2 e= 3/8 what is the value of sec e? A. +√8/3 B.+ √11/8 C. 11/8 D. 8/3

Answers

ANSWER

[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]

EXPLANATION

We use the Pythagorean Identity,

[tex] { \sec}^{2} (e) = 1 + { \tan}^{2} (e)[/tex]

It was given that,

[tex] { \tan}^{2} (e) = \frac{3}{8} [/tex]

We substitute the values into the identity to obtain,

[tex] { \sec}^{2} (e) = 1 + \frac{3}{8} [/tex]

[tex]{ \sec}^{2} (e) = \frac{11}{8} [/tex]

We take square root of both sides to get,

[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]

Answer:

sec e = √(11/8) ⇒ answer B

Step-by-step explanation:

* Lets revise some identities in trigonometry

# sin²x + cos²x = 1

- Divide both sides by cos²x

∴ sin²x/cos²x + cos²x/cos²x = 1/cos²x

∵ sinx/cosx = tanx

∴ sin²x/cos²x = tan²x

∵ cos²x/cos²x = 1

∵ 1/cosx = secx

∴ 1/cos²x = sec²x

* Now lets write the new identity

# tan²x + 1 = sec²x

- Let x = e

∴ tan²e + 1 = sec²e

- Substitute the value of tan²e in the identity

∵ tan²e = 3/8

∴ 3/8 + 1 = sec²e

- Change the 1 to the fraction 8/8

∴ 3/8 + 8/8 = sec²e ⇒ add the fractions

∴ 11/8 = sec²e

- Take square root for the two sides to find sec e

∴ sec e = √(11/8)

∴ The answer is B

after lily's graduation party, 1/2 of of the cake was left. she shared the remaining cake equally with her sister Kayla and her brother Logan. what fraction of the original cake did each of them get?

show all your work please

Answers

they each got 1/4

1/2 = 50%

50% / 2 = 25%

25%= 1/4

3. Jared has two ropes. Each rope is 9 inches long. How many inches of rope does he have in all?

Answers

the answer is super easy all you have todo is to add nine plus nine and then you will get your answer to save time the answer is 19.

The length of one rope = 9 in

Number of ropes Jared have = 2.

The total inches of rope does Jared have will be calculated as under -

We can add the length of two ropes as = 9 in + 9 in = 18 in

Or we can do it by other method as well.

The other method is by multiplying -

The total inches of rope does Jared have = The length of one rope × Number of ropes Jared have

The total inches of rope does Jared have = 9 in × 2 ropes = 18 in

What is the area of the rhombus shown below? A. 110.5 square units B. 129.2 square units C. 221 square units D. 15 square units

Answers

the answer is A. 110.5

The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.

What is a rhombus?

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have a rhombus shown in the picture with dimensions:

As we know,

The area of the rhombus is given by:

A =pq/2

p and q are the lengths of the diagonal of a rhombus.

p = MK = 13 units

q = JL = 17 units

Plug the values in the formula:

A = (13×17)/2

A = 221/2

A = 110.5 square units

Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.

Learn more about the rhombus here:

brainly.com/question/22825947

#SPJ5

Julia had 2/3 quart of cleaning liquid. She used 1/4 of it to clean the sink. How much cleaning liquid did Julia use?

Answers

She had 2/3 quart. She used 1/4 of it.

That means you have to find 1/4 of 2/3

1/4 × 2/3 = 2/12

2/12 simplified = 1/6

Your answer is 1/6

Hope this helped!

She had 2/3 quart. She used 1/4 of it.

That means you have to find 1/4 of 2/3

1/4 × 2/3 = 2/12

2/12 simplified = 1/6

Your answer is 1/6

Hope this helped!

A jacket has a regular price of $80. It is on sale for 10% off. The sales tax is 7%. What is the total cost of the jacket including tax?

Answers

STEP 1:
Sale Price= Cost - (Cost * Discount %)

Sale Price= $80 - (80 * 10%)
=80 - 8
=$72 sale price

STEP 2:
use sale price from step 1 in this equation

Final Price= Cost + (Cost * Tax %)

Final Price= $72 + (72 * 7%)
= 72 + 5.04
= $77.04

ANSWER: The final price after a 10% discount and 7% sale tax is $77.04.

Hope this helps! :)

Answer:

77.04

Step-by-step explanation:

Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1

Answers

If you want to get y=-tan(x+π/2) +1 then;
In the given equation
+1 will shift the function upward by 1 unit
minus(-) sign will reflect the graph across x_axis

see the attached diagram of -tan(x+π/2) +1

Answer:

A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up

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