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100 points

Answer:

4

Step-by-step explanation:

(4,5)

Hope it helps.

Do comment if you have any query.

Answer:

x = 36.3°

using tane rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here!

=============

[tex]\hookrightarrow \sf tan(x) = \dfrac{22}{30}[/tex]

[tex]\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )[/tex]

[tex]\hookrightarrow \sf x= 36.253^{\circ \:}[/tex]

[tex]\hookrightarrow \sf x= 36.3^{\circ \:}[/tex]        ( rounded to nearest tenth of a degree)

Let's find

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{22}{30}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{11}{15}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=0.734[/tex]

[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(0.734)[/tex]

[tex]\\ \rm\Rrightarrow \theta=36.278°[/tex]

[tex]\\ \rm\Rrightarrow \theta=36.3°[/tex]

Answer: C: (x - 4)² + (y+2)² = 25

Step-by-step explanation:

The formula for a circle is: (x - h)^2 + (y - k)^2 = r^2

Using this, the formula should be:

C: (x - 4)² + (y+2)² = 25

[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]

[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]

[tex]z = 22[/tex]

Answer:

It’s c

Step-by-step explanation:

Bond A and C the annual interest rate is 1.126%.

Bond X and Y the annual interest rate is 1.25%.

The interest rate on a credit card is the cost of borrowing money. Interest rates on credit cards are often provided as an annual rate. This is known as the annual percentage rate (APR). You can avoid paying interest on purchases on most cards if you pay your amount in full each month by the due date.

The formula for Bond Coupon Rate

Bond Coupon Rate = Bond's current yield / 100

For bond A and C coupon rate is 7.5%.

For X and Y coupon rate is 8.4%.

Now, Annual Interest Rate

= Bond coupon rate x Bond's Face value

For bond A and C the annual interest rate

= 7.5% of $15

= $1.125

For bond X and Y the annual interest rate

= 8.4% of $15

= $1.26

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Answer:

6 yard

Step-by-step explanation:

Since, it given that:

Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.

And asking for how many yards carlos run in all

in all = add

3 1/2 + 2 1/2

Add the whole number

3 + 2 = 5

Since they have the same denominator we can just add them

1/2 + 1/2 = 1 whole

Since it a whole we can add to the whole number

5 + 1 = 6

Thus, Carlos run  6 yards.

Lenvy

Answer:

6 yards

Step-by-step explanation:

To Find:

How many yards did Carlos run in all?

Solution:

In all means addition in this question

Thus,

3 1/2 and 2 1/2

3 1/2 + 2 1/2

we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2

7/2 + 5/2 = 12/2

12/2 = 6

Hence, Carlos run 6 yards in all

[RevyBreeze]

Answer:

34,050 grams

Step-by-step explanation:

To convert pounds to grams, you must multiply the mass (75) by 454.

454 * 75 = 34,050

34,050 grams is equal to 75 pounds.

Hope this helps:)

Step-by-step explanation:

If we add two matrices,

there rows and columns must be the same.

For example, consider matrix

[tex] \binom{4}{2} \binom{1}{3} + \binom{5}{9} [/tex]

we cant add these matrices by the first martix had 2 colums and 2 rows.

The second has 1 column and 2 rows.

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

Answer:

18 is the factor of 90 and 36 the rest are 1,2,3,6,9 hope it helps:)

Step-by-step explanation:

The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the water balloon after t minutes, hence:

h(t) = -16t² + vt + h₀

Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:

h(t) = -16t² + vt + 12

The height of 37 feet after 1.25 seconds, hence:

37 = -16(1.25)² + v(1.25) + 12

v = 40 m/s

h(t) = -16t² + 40t + 12

After 2 seconds:

h(t) = -16(2)² + 40(2) + 12

h(2) = 28 feet

The height of the balloon at 2 seconds is 28 feet

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Answer: 82:18 or 4.55:1

Expl:

The ratio of something describes how many x per y.

Here, we have 82 Board Games sold VS 18 Card Games.

The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.

Hope this Helped!

3827

hope it helps...!!!

a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)

when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points

Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm

To answer the question, we need to know Hooke's law.

This states that the force, F on a stretched spring is directly proportional to its extension, x.

So, F ∝ x

Mathematically, F = kx where k = spring constant

Making x subject of the formula, we have

x = F/k

Given that F = 37 N and k = 380 N/m, we have

x = F/k

x = 37 N/380 N/m

x = 0.0974 m

x = 9.74 cm

So, the spring stretches by 9.74 cm

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Answer:

Two possibilities   --- see below

Step-by-step explanation:

x  first number   x+2  the next number

x   *   (x+2)  = x^2 + x = 1155

x^2 +2 x - 1155 = 0     Quadratic formula  shows

                                    x = 33   then    33, 35    

                                 or  x = -35   then  -35 , - 33

Answer:

the answer is A or 0√5

hope it helps

BYE

Answer: A

Step-by-step explanation: You're Welcome

Answer: The area of this rectangle is x² + 12x + 8

Step-by-step explanation:

     Area of a rectangle:

A = L * W

A = L * W

A = 4 * (x² + 3x + 2)

A = 4x² + 12x + 8

Answer:

it's 10

Step-by-step explanation:

A ratio of 2:5 means it is probably counting by 5s. Since 5 X 5 equals 25, 2 X 5 equals 10. since ethe larger polygon is 25, this means the number can't be bigger than 25 so it is counting by fives.

Answer:

3/2= 1 1/2

Step-by-step explanation:

simply 3/2 as a decimal

The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression

The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

The expression is given as:

[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

Read more about expressions at:

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Answer:

Step-by-step explanation:

edge

Answer:

-2

Step-by-step explanation:

(-3x/2) - 3 = 3

add 3 to both sides

(-3x/2) = 3

multiply both sides by 2

-3x = 6

divide both sides by -3

x= -2

Answer:

Nevada is very small compared to the countries listed below. I don't understand.

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

Inflation will negatively affect your savings if it increases faster than your savings.

Inflation is when there is a persistent rise in the general price levels of an economy.

Savings is negatively affected if it increases faster than the rate of growth of ones savings. For example, if inflation increases at a rate of 20% and your savings increase by 10%. Te real increase in savings is 10% - 20% = -10%.

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Answer:

A. Increases faster than your savings

Hope this helps :)