A right triangle has a hypotenuse that measures 10 mm and a leg, a, that measures 8 mm. What is the length of leg b?

Answer:

1.445 × 10^3

Step-by-step explanation:

(1.7 × 10^4) × (8.5 x 10^-2)

Multiply the numbers at the front and add the powers using the indice laws.

1.7 × 8.5 = 14.45

10^4 x 10^-2 = 10^2

14.45 x 10^2

Written in standard form: 1.445 x 10^3

Answer:

The common difference between successive terms in the sequence is -0.1

Step-by-step explanation:

Common difference in an arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

0.36, 0.26, 0.16, 0.06, -0.04, -0.14

Subtraction of each term by its predecessor. So

0.26 - 0.36 = 0.16 - 0.26 = -0.1

The common difference between successive terms in the sequence is -0.1

Answer:

its cos 50

Step-by-step explanation:

amen

Step-by-step explanation:

The square root of 0.0144 is 0.12.

To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.

To get a more precise answer, we can use a calculator or long division. Here's one way to do it:

- Write 0.0144 as a fraction: 0.0144 = 144/10000

- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)

- Simplify the square roots: 12/100

- Reduce the fraction: 3/25

Therefore, the square root of 0.0144 is 0.12 or 3/25.

7/4 - 5/4 = 1/2 and 21/24 - 9/24 = 1/2

Step-by-step explanation:

7/4 - 5/4

= 2/4

= 1/2

21/24 - 9/24

= 12/24

= 1/2

Your Welcome! :)

You will $0.29, if you will purchase 2 small bags of flour instead of 1 big bag.

For the given question;

The total cost of one big bag that is 10-lb bag of flour = $3.69.

Now, the cost of one small bag that is 5-lb = $1.55.

Thus, the cost for two small bag that is 5-lb = $3.10.

The difference in the cost = big bag cost - 2 small bag costs.

The difference in the cost = $3.69 - $3.10

The difference in the cost = $0.29.

Thus, you will save $0.29 for the purchase of 2 small bags of floor instead of one big bag.

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piece #1 is x

the answer is c

Answer:

(ii) 1 dollar

Step-by-step explanation:

each pencil costs 17 cents

- thus 3 pencils x 17c is 51c

1.00 dollars minus 0.51 is 49

- 5 pencils x 17c is equal to 85

1.00 dollars minus 0.85 is 15 c

Step-by-step explanation:

the last one

x^2+2x+1 R(-5)

The y-intercept of (f - g)(x) has the coordinates given as follows:

D. (0, −9).

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For function f(x), we have that when x increases by 2, y increases by 10, hence the slope m is given as follows:

m = 10/2

m = 5.

Hence:

f(x) = 5x + b

When x = -6, f(x) = -36, hence the intercept b is given as follows:

-36 = -30 + b

b = -6.

Hence:

f(x) = 5x - 6.

For function g(x), we have that when x increases by 2, y decays by 4, hence the slope m is given as follows:

m = -4/2

m = -2.

Hence:

g(x) = -2x + b

When x = -6, y = 15, hence the intercept b is given as follows:

15 = 12 + b

b = 3.

Hence:

g(x) = -2x + 3.

The subtraction function is given as follows:

(f - g)(x) = 5x - 6 + 2x - 3

(f - g)(x) = 7x - 9

Hence the coordinates of the intercept are given as follows:

D. (0, −9).

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Answer:

1) 0.3 ; 0.7

Step-by-step explanation:

Given the following :

Probability that product A launch : P(A) = 0.45

Probability that product B launch : P(B) = 0.60

Probability that both product launch : P(AnB) = 0.35

P(A alone) = p(A) - p(AnB)

P(A alone) = 0.45 - 0.35 = 0.1

P(B alone) = p(B) - p(AnB)

P(B alone) = 0.60 - 0.35 = 0.25

Probability that neither product will launch :

1 - [p(A alone) + p(B alone) + p(AnB)]

1 - [0.1 + 0.25 + 0.35]

1 - 0.7 = 0.3

Probability that at least one product will launch :

P(A alone) + p(B alone) + p(AnB)

0.1 + 0.25 + 0.35 = 0.7

The number of cards sold by Samantha on mother's day is 70.

Total number of cards sold on mother's day = 700

Percentage of cards Samantha sold = 10 %

Fraction of cards Samantha sold  = 700 × 10/100

                                                        = 70

The number of cards Samantha did not sold, or sold by other salesman = Total cards sold - number of cards Samantha sold

                           700 - 70 = 630

Or else we can calculate by using percentages.

Percentage of the cards sold by other salespersons = 100- 10

                                                                                         = 90

90 % of 700 = 90/100 × 700

                     = 630

We can also use proportions.

    10 : 90 :: 70 : x

    10/90 = 70/x

          x = (70× 90)/ 10

              = 630.

So the number of cards Samantha sold = 70

     Number of cards others sold = 630

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Answer:

Step-by-step explanation:

The distance between two points is represented by the following equation;

Therefore, if the endpoints of WX are (-5,-1) and X(2,6):

Answer:

360°

Step-by-step explanation:

If you travel around the outside of any polygon, the angels will add to 360

Helping in the name of Jesus.

Answer:

if i didnt get anything mixed up it would be A. dependent

Step-by-step explanation:

When the outcome affects the second outcome, which is what we called dependent events. Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event.

Find the total he spent and subtract that from 100:

12.50 x 4 = 50

50 + 4.75 = $54.75 total spent

100-54.75 = $45.25 change

-5x-6=?

Is 5x-6

So, it is:

-1(x)

Answer:

c = (E/m)^1/2

Step-by-step explanation:

Here, we want to solve for c in the given equation

what we have here is that;

E = m•c^2

Thus;

c^2 = E/m

So we have

c^2(*1/2) = (E/m)^1/2

c = (E/m)^1/2

Answer:

2 and 3

If you want to get complicated, then 2.39 and 2.61.

Step-by-step explanation:

5 = x + y

5 = 2 + 3

5 = 5

Answer:

Step-by-step explanation:

It’s sss

The postulate or theorem used to prove that ΔLMN and Δ NOL is

SSS Congruence Rule.

Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.

We have two triangles ΔLMN and Δ NOL.

As, per the Triangles

LM = NO

MN = OL

LN = LN  (Common)

So, By SSS Congruence Rule the ΔLMN and Δ NOL are Congruent.

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Answer:

One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.

Step-by-step explanation:

You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.

So, now all you have to do it compare it to something you do everyday.

Please don't copy this, we are in the same class. :(

Answer:

B

Step-by-step explanation:

3x^2-5x+2

(3x-2)(x-1)=0

therefore

rectangle= L×B

L= (3x-2)(x-1)

The multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial   x²+x+1.

To find the multiplicative inverse of the element [c] in this finite field.

We need to define the irreducible polynomial f(x)=x²+x+1  as the modulus.

Set up the extended Euclidean algorithm with f(x) and x and perform the calculations until the remainder becomes a constant (degree 0) polynomial.

The coefficient of the constant term in the remainder polynomial will be the multiplicative inverse of [c] in the finite field.

The extended Euclidean algorithm:

f(x) = x²+x+1

x = f(x) × 0 + x

x = (x) × (-1) + (x + 1)

-1 = x + 1

Hence, the multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial   x²+x+1.

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You can use the ASA-AAS criterion: the triangle on the left is isosceles, so the two base angle must be

\(\dfrac{180-58}{2}=61\)

So, we know that both triangles have an angle of 58°, another angle of 61°, and a side of 32cm.

The probability of answering a question correctly is 0.7 + 0.3/N.

Given: N answer choices for each question; a student knows the answer to 70% of the questions; and the student guesses uniformly and at random for remaining 30% of the questions.

Let K be the event that the student knows the answer to a question and R be the event that the student answers the question correctly.

The probability of event K can be calculated as:

P(K) = 0.7The probability of event K' (not knowing the answer) can be calculated as:

P(K') = 0.3The probability of event R given K can be calculated as:

P(R|K) = 1The probability of event R given K' can be calculated as:P(R|K') = 1/N

Therefore, the probability of event R can be calculated using the law of total probability:

P(R) = P(K)P(R|K) + P(K')P(R|K')P(R)

= 0.7 × 1 + 0.3 × (1/N)P(R)

= 0.7 + 0.3/N

Therefore, the probability of answering a question correctly is 0.7 + 0.3/N.

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The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer: Identify the total amount of percent then calculate the total amount using addition expressions and diagrams calculate then, total amount using subtraction and expressions diagrams

Step-by-step explanation:hope it helps