70 years later from 1590

Answer:

42.64°

Step-by-step explanation:

Note: A rhombus has all its sides equal, its opposite angle are equal, its  has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.

From the diagram attached,

sinθ = opposite/adjacent

sinθ  = 4/11

θ = sin⁻¹(4/11)

θ = 21.32

Therefore, from the diagram,

The smaller angle of the rhombus = 2θ

The smaller angle of the rhombus = (2×21.32)

The smaller angle of the rhombus = 42.64°

it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

When we construct the confidence interval their sample must have some conditions which are as follows,

Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.

When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether  the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.

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The height of rock 4 seconds after it was thrown is 168 ft.

Speed is measured as distance moved over time.

Speed = Distance/ Time.

Here, given that,

we have

a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.

The height h, in feet, of the rock

t seconds after it was thrown can be modeled by the function

h(t)=-16t^2 +96t+40.

where

h -----> is the height in feet of the rock

t -----> the time in seconds

For , t=4, we get,

substitute the value of t in the function and find the value of h

h(4)=-16×4^2 +96×4+40.

So, h= 168

Hence, the height of rock 4 seconds after it was thrown is 168 ft.

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Reason:

The tickmarks tell us that the pair of hypotenuses are congruent.

The shared horizontal sides at the bottom are the pair of congruent legs of the right triangles. Therefore, we can use the hypotenuse leg (HL) theorem. This theorem only works for right triangles.

Answer:

about 20 feet

Step-by-step explanation:

Answer:

$1170

Step-by-step explanation:

Answer:

0.0977

Step-by-step explanation:

From the question,

A = πR²...................... Equation 1

Where A = Area of the circular flower garden, R = Radius of the circular flower garden.

Also,

A' = πr²..................... Equation 2

Where A' = Area of the circular pool, r = radius of the circular pool.

If a coin is tossed at random into the garden, the probability that the coin will land in the pool is

Pr = Area of the pool(A')/Area of the garden(A)

Pr = A'/A....................... Equation 3

Substituting equation 1 and 2 into equation 3

Pr = πr²/πR².

Pr = r²/R².................... Equatio 4

Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.

Substitute these values into equation 4

Pr = 2.5²/8²

Pr = 6.25/64

Pr = 0.0977

Answer:

you need to add the problem. or at least a photo of it.

Answer:

u need to write or add a pic of the question

Step-by-step explanation:

Answer:

6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000

six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths

Step-by-step explanation:

right!!!

Answer:

520 yd^2

Step-by-step explanation:

The prism is a rectangular prism

2 * (14 * 5) + (5 * 10) + (14 * 10)= 520

Answer: 520 yards squared

Step-by-step explanation: The surface area is basically the area on every surface. So it’s (14x10)x2 + (14x5)x2 = 520 yards squared. Hope it helped! :)

Answer:

a) 110

b) 250

Step-by-step explanation:

Read the top row of numbers for a.  We are starting at zero and going to 110

Reflex is when two angles add up to 360

360 - 110 = 250

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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Answer: So the positive solution is:

ANSWER:    X = 5

(x = 5 ),  (x = - 2 )

Step-by-step explanation:

when 10 is subtracted from the square of a number the result is 3 times the number.

Find the positive solution.

Let:   x = number

Let x^2 = square of a number.

x^2 - 10x = 3x transpose

x^2  -  3x - 10 = 0

Apply Factoring: Fractions of  10  are   5  and 2

( - 5)(2)  =   - 10

- 5  + 2  =  - 3

( x - 5 )(x + 2) = 0

x - 5 = 0      x + 2 = 0

x = 5             x   =  - 2

So the positive solution is:

ANSWER:    X = 5

I hope that helps!!!!

Answer:

68

Step-by-step explanation:

25% of a number is 20, where the number is 80 because 25% times 4 is 100% and 20 times 4 is 80.

We can check by doing 60% of 80 to see if it is 48. Instead of 60%, we can do 10% of 80, which is 8. Since we divided by 6, we multiply 8 by 6 which is 48.

Since we know 80 is the number, we have to find 85% of 80. First, let's find 5% of 80, which is 4 since 4 x 20 is 80 and 5% x 20 is 100%. Now, 85 divided by 5 is 17, let's multiply 17 by 4 to get 85% of 80. 17 x 4 is 68 which is 85% of 80.

Answer: 18pi^2

Step-by-step explanation:

Volume of cone formula = 1/3 x base area x height

so 1/3 x 9pi^2 x 6

= 18pi^2

Answer:

[tex]150.8 < 487[/tex]

Step-by-step explanation:

Given

[tex]C = 487cm[/tex] -- Actual measurement

[tex]M = 150.8[/tex] -- Recorded measurement

Required

Is M < C or M > C?

By comparing both values, we can see that:

[tex]M < C[/tex]

Because, on a number line from right to left; 150.8 comes before 487.

Hence:

[tex]150.8 < 487[/tex]

Answer:

640

Step-by-step explanation:

y = 40(4)^x

x = 26/13 = 2

y = 40(4)^2

y = 40 (16)

y = 640

Answer:

B) 15

Step-by-step explanation:

only options are 15 or 7 inches because the problem mentioned the triangle is isosceles (they have two equal sides)

we can eliminate 7 because of the triangle inequality theorem

if two sides of a triangle are 7 then their sum is only 14 and it would need to be greater than the third side of 15

Answer:

Answer choice A

Step-by-step explanation:

It's nice to know which way the equation is going, so graphing it helps (if you can, use Desmos!)

Since the equation is facing up (BOTH SIDES UP) as x approaches infinity & negative infinity, f(x) is always going to be increasing so it is always going towards infinity.

Answer:

D :)))

Step-by-step explanation:

Answer:

yes is rhe anwers that was that i put

Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.

You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.

In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.

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Answer:

no

Step-by-step explanation:

hdjdjdnbdbdjddhhdhfhr r rjfnfn

Answer:

It is a function

Step-by-step explanation:

A linear function

[tex]x = y - 3[/tex]

and

[tex]x = y - 4[/tex]

Step-by-step explanation:

[tex]\sf \hookrightarrow \: x + x + 88 = 180 \\ \sf \hookrightarrow \: 2x +88 = 180 \\ \sf \hookrightarrow \: 2x = 180 - 88 \\ \sf \hookrightarrow \: 2x = 92 \\ \sf \hookrightarrow \: x = \frac{92}{2} \\ \sf \hookrightarrow \: x = 46[/tex]

Answer:

46 degrees

Step-by-step explanation:

Sum of interior angles of a triangle is 180,

x + x + 88 = 180

2x + 88 = 180

2x = 180 - 88

2x = 92

x = 92 / 2

x = 46 degrees

Answer:

Step-by-step explanation:

A B D

Answer:

Its A,B,D

i got them right on the quiz :)))