A square has a diagonal measuring 19 centimeters in length.which of the following is closest to the length of each side of the square?

Answers

Answer 1

Answer:

13cm

Step-by-step explanation:

Let the length of each side be x;

Using the pythagoras theorem

l² = x² + x²

l is the length of the diagonal

l² = 2x²

19² = 2x²

361 = 2x²

x² = 361/2

x² = 180.5

x =√180.5

x = 13

hence the length of each side of the square is closest to 13cm


Related Questions

Using order of operations how would you solve (3+4)-9 with an equation!!

Answers

the answer to your question is
(7)-9= -54

Can anyone please help??

Answers

Answers:

6 pints = 12 cups

16 pints = 8 quarts

8 fluid ounces = 1 cup

8 pints = 1 gallon

6 pints=12 cups
16 pints=8 quarts
8 fluid ounces=1 cup
8 pints=1 gallon

NEED HELP ASAP 20 POINTS WHAT WOULD THE MEASUREMENT FOR THE EXTERIOR ANGLE (ANGLE B) BE???

Answers

Answer: I love these... Okay so the exterior angle is equal to the two remote interior angles meaning that 120 would be equal to 15x+5+22x+4 which is 70

Step-by-step explanation:

Chloe asked students in her school band these two questions.

Question 1: How many days per week do you practice your instrument?

Question 2: How many times will our band perform this year?

Use the drop-down menus to explain whether each question is a statistical question.

Question 1

Choose

a statistical question because each student's answer will be

Choose...

Question 2 Choose.

a statistical question because each student's answer will be

Choose the options to the question is is and is not

Answers

Answer:

Question 1: Statistical

Question 2: Not Statistical

Step-by-step explanation:

Given

Question 1 and 2

Required

Are they statistical questions?

A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.

Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.

This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.

at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour? ​

Answers

Answer:

The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Step-by-step explanation:

Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:

4 x 1.5 + 6 x 0 = 6

4 x 1 + 6 x 0.5 = 7

4 x 0.75 + 6 x 0.75 = 7.5

4 x 0.5 + 6 x 1 = 8

Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.


Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
how many bacteria was there at 10 hours? Round to the nearest whole number,

Answers

Answer:

9,942 bacteria were there at 10 hours.

Step-by-step explanation:

Equation for population decay:

The equation for population decay, after t hours, is given by:

[tex]P(t) = P(0)(1-r)^t[/tex]

In which P(0) is the initial population and r is the decay rate, as a decimal.

Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.

This means that [tex]P(0) = 200000[/tex] and that when [tex]t = 18, P(t) = 900[/tex]. So we use this to find r.

[tex]P(t) = P(0)(1-r)^t[/tex]

[tex]900 = 200000(1-r)^{18}[/tex]

[tex](1-r)^{18} = \frac{900}{200000}[/tex]

[tex]\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}[/tex]

[tex]1 - r = (\frac{900}{200000})^{\frac{1}{18}}[/tex]

[tex]1 - r = 0.7407[/tex]

So

[tex]P(t) = P(0)(1-r)^t[/tex]

[tex]P(t) = 200000(0.7407)^t[/tex]

At this rate of decay, how many bacteria was there at 10 hours?

This is P(10). So

[tex]P(10) = 200000(0.7407)^{10} = 9941.5[/tex]

Rounding to the nearest whole number:

9,942 bacteria were there at 10 hours.

Omar wants to use a graph to solve the equation below.

log Subscript 6 Baseline x = log Subscript 2 Baseline (x + 4)

Which system of equations should Omar use?

Answers

Person above is wrong, the answer is D on Edge.

D. y1 = log x/log 6, y2 = log (x + 4)/log 2

Answer:

its D on edge 2021

Step-by-step explanation:

i took the test

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee at local fast food restaurants. Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg. If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result

Answers

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that [tex]\sigma = 2[/tex]

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when [tex]M = 0.5[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{2}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 2*1.96[/tex]

Dividing both sides by 0.5

[tex]\sqrt{n} = 4*1.96[/tex]

[tex](\sqrt{n})^2 = (4*1.96)^2[/tex]

[tex]n = 61.5[/tex]

Rounding up

We would have to take a sample of 62 to achieve this result.

Solve the triangle. Round decimal answers to the nearest tenth.

Answers

Answer:

[tex]AB= 20.9[/tex]

[tex]A = 33.2^\circ[/tex]

[tex]C = 54.8^\circ[/tex]

Step-by-step explanation:

Given

The above triangle

Required

Complete the lengths

To do this, we make use of sine rule.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]

[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]

[tex]\frac{14}{\sin A} = 25.54[/tex]

Cross multiply

[tex]\sin A * 25.54 = 14[/tex]

[tex]\sin A = \frac{14}{25.54}[/tex]

[tex]\sin A = 0.5482[/tex]

Take Arc sine of both sides

[tex]A = sin^{-1}(0.5482)[/tex]

[tex]A = 33.2^\circ[/tex]

To calculate C, we have:

[tex]C = 180 -A-B[/tex] --- angles in a triangle

[tex]C = 180 -55.2-70[/tex]

[tex]C = 54.8^\circ[/tex]

Calculate length AB using the sine rule.

[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]

So, we have:

[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]

Make AB the subject

[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]

[tex]AB= sin 54.8* 25.54[/tex]

[tex]AB= 20.9[/tex] -- approximated

Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21

Answers

x=15

pythagorean equation: a^2 + b^2=c^2

a=9 b= 12 c=?
now solve
the answer is 15 i think

Pls help I will give Brainliest

Answers

Answer:

C. 26 + 4x = 46

7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm

Answers

6.4 i think correct me if I’m wrong

What is the period of the following periodic function? to 3 decimal places

y= .5csc(x+9)-6

Answers

Don’t click it please don’t

Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03

Answers

9514 1404 393

Answer:

  (a)  7

Step-by-step explanation:

The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...

  AE = 7

_____

Additional comment

If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.

Help please!!! I can’t figure it out

Answers

9514 1404 393

Answer:

  C. ... 3 1/4 cups

Step-by-step explanation:

The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...

  3/8 × ((3 2/3) +(2 1/4) +(2 3/4))

This eliminates choices B and D.

If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.

The only viable answer choice is C.

__

If you like, you can check to see that answer C is correct.

  (3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4

Can Somone Help me with my homework ​

Answers

Answer:

part A) yes, the bases and heights are the same

Part B) yes, the bases and heights are the same

Part C) not enough info

Step-by-step explanation:

Part C)

area of the circle = π(1/2h)²

area of ellipse = π(1/2h)(1/2 major axis)

The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.

Answers

Answer:

cash price:

10% = 250

2500 - 250 = $2,250

hire purchase:

2500 + 500 + 150(18) = $5,700

a) 5,700 - 2,250 = $3,450

Subtract -5x²+10x-1from6x²-x+3

Answers

Answer:

it would be -11x^2+11x-4

4 (x + 5)=12 what is x?

Answers

X in the math problem is negative two

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

What is the value of i^12?

Answers

Answer:

i^12

Step-by-step explanation:

there is no further answer

Answer:

i^12 = 1  

One to any power is one.?

Please help!!! use the distributive property to rewrite the expression
(x + 3)(2x - 7)

Answers

Answer:

Step-by-step explanation:

( x + 3) (2x - 7)

x(2x - 7) + 3(2x - 7)

Which expression is equivalent to ? Assume

Answers

[(2x³y⁴)² × 2x]½

(2x³y⁴)½ ×(2x)½

2x³y⁴(2x)½

In the coordinate plane, Seth drew a triangle with vertices A(-2,7), B(3, -3), and C(0,2). He reflected the triangle about a vertical line, and then about a horizontal line, to move vertex A to its final location of (10,-5).
Use the drop-down menus to choose the responses that make each statement true
Seth reflected the triangle about the vertical ine 1 = and then about the horizontal line y = 0
He moved vertex B to its final location of
He moved vertex C to its final location of
2021 minute Education Inc

Answers

Answer:

we cant see the problem

Step-by-step explanation:

whats 1girl + 1 girl=

Answers

Answer:

(whats 1girl + 1 girl=) uhh ima go with 2girl ;)

Step-by-step explanation:

whats 1girl + 1 girl=?

well 1+1=2 so 1girl + 1 girl= 2girl

Which Proportion Could Be Used To Solve ...

Answers

Answer:

[tex]\frac{6}{h} = \frac{10}{40}[/tex]

Step-by-step explanation:

Given

The attached image

Required

The proportion of the height of the tree

Represent the height of the tree with h.

To solve for h, we make use of the following equivalent ratio

[tex]40 : h = 10 : 6[/tex]

Express as fraction

[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]

Cross multiply

[tex]40 * 6 = 10 * h[/tex]

Divide by 40h

[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]

[tex]\frac{6}{h} = \frac{10}{40}[/tex]

Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?

Answers

Answer:

the ratio of food costs to take home dollars is 1:6

Step-by-step explanation:

The computation of the ratio of the foods cost to take home is shown below:

Given that

Monthly take home pay is $1,500

And, the spending month on food is $250

Based on the  above information

The ratio is

= $250 ÷ $1500

= 1:6

Hence, the ratio of food costs to take home dollars is 1:6

HELPPPPPPPPPPPP BRAINLY

Answers

Answer:

C

Step-by-step explanation:

Plz help me well mark brainliest if you are correct!

Answers

Answer:

the radius is 4 inches

Step-by-step explanation:

diameter/2=radius

Answer: 4 inches

Step-by-step explanation: r= d/2=/2=4inches

What is the measure of angle ABC

Answers

Answer:

A

Step-by-step explanation:

Solve for x in the diagram below.
110°
(8x +30°

Answers

Answer:

880x+30

880    880

x=29.3 repeating

Step-by-step explanation: Hope this helps

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