Find the area of a triangle if base is 45 and height is 10

Answer:

180/15=12 12x6=72 12x8=96... 12, 72, 96?

Answer:

b = 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 18 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-18}{-3-2}[/tex] = [tex]\frac{-10}{-5}[/tex] = 2 , then

y = 2x + b

to find b substitute either of the 2 points into the equation

using (2, 18 )

18 = 4 + b ⇒ b = 18 - 4 = 14

Answer:

$6.60

Step-by-step explanation:

1 pound of blueberries = $3.50

if 0.6 pound = 3.50 × 0.6 = 2.10

1 pound of oranges = $2.50

if 1.8 pound = 2.50 × 1.8 = 4.50

Total = $4.60

Answer:

[tex]a_{n}[/tex] = - 4n - 10

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = - 42 and a₁₆ = - 74 , then

a₁ + 7d = - 42 → (1)

a₁ + 15d = - 74 → (2)

subtract (1) from (2) term by term to eliminate a₁

8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )

d = - 4

substitute d = - 4 into (1) and solve for a₁

a₁ + 7(- 4) = - 42

a₁ - 28 = - 42 ( add 28 to both sides )

a₁ = - 14

Then

[tex]a_{n}[/tex] = - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10

Answer:

[tex]a_{n}=-10-4n[/tex]

Step-by-step explanation

[tex]a_{n}=a_{1}+(n-1)d\\Given:a_{8}=-42\\&a_{16}=-74\\Hence: \\a_{8}=a_{1}+7d=-42 (1)a_{16}=a_{1}+15d=-74 (2)\\ \left \{ {{a_{1}+7d=-42} \atop a_{1}+15=-74}} \right. \\(2)-(1):8d=-32\\ d=-32/8 =-4\\Substitute :d=-4 in equation (1)"\\-42=a_{1}+7(-4)\\-42=a_{1}-28\\a_{1}=-14\\Hence:\\a_{n}=-14-(n-1)4\\a_{n}=-14-4n+4\\a_{n}=-10-4n[/tex]

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Let x represent the number of peanuts and y represent the number of cashew nuts.

She must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts. Hence:

x ≥ 10, y ≥5

Also:

x + y ≤ 60

And:

4x + 8y ≥ 200

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

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Answer: -39/10 alternative forms : -3 9/10, -3.9

Step-by-step explanation:

The balloon’s vertical distance above the ground is 570.3 feet

Given the following parameters

The angle of depression = 36 degrees

Base distance =  785 feet

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence  the balloon’s vertical distance above the ground is 570.3 feet

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Answer:

Slope is -0.6, hope this helps

Solution:

It should be noted:

Using the formula:

Correct option is A.

Answer:

x=31.66

Step-by-step explanation:

1st i did 600-125=475

so now i have to do 475 divided by 15

that is 31.66

so she has to wait 31.66 weeks to get the $475 dollars she needs

Answer:

B, between 3 and 4 miles

Step-by-step explanation:

We know that h is 9.

√1.5*9

1.5*9=13.5

This can be done without a calculator.

if we know that √13.5 is in between √9 and √16 and that √9=3 and that √16 is equal to √4, it can be concluded that the answer is in between 3 and 4.

Answer:

1/2

Step-by-step explanation:

Sin 30 degree equals to the fractional value of 1/ 2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.

Answer:Sin 30=1/2

Step-by-step explanation:

Answer:

To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:

(x-xc)^2+(y-yc)^2=r^2

where (xc,yc) is the centre of the circle, and r=radius of the circle.

If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle.  If the left-hand side is equal to r^2, the point is ON the circle.

Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.

For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7

(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2

A. (-1,1),

(x-3)^2+y^2=7^2 => (-1-3)^2+1^2=16+1=17 <49  [inside circle]

B. (10,0)

(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49  [on circle]

C. (4,-8)

(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49  [outside circle]

Step-by-step explanation:

Answer:

[tex]31 \frac{4}{15}[/tex]

Step-by-step explanation:

(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )

[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]

= [tex]\frac{938}{30}[/tex]

Simplify: Divide by 2

[tex]\frac{469}{15}[/tex] || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

[tex]31\frac{4}{15}[/tex]

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

[tex](a+b)^2=a^2+2ab+b^2[/tex]

            [tex]=x^2+8x+16[/tex]

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

[tex](x+4)^2=x^2+8x+16[/tex]

Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

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16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).

A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.

The perfect square obtained from the given equation is  (x + 4).;

On squaring we get;

[tex](x + 4)^2 = x^2 + 8x + 16.[/tex]

16 is the only constant term in the equation.

Hence 16 is the constant term that is necessary to complete the perfect square.

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Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m = [tex]\frac{8-0}{5-1}[/tex] = [tex]\frac{8}{4}[/tex] = 2

1244.57 cm²

Step-by-step explanation:

Given:

Hence, radius will be :

➝ diameter/2

➝ 24/2

➝ 12m

[tex] \: [/tex]

To Find:

Solution:

As, we know:

[tex] \star \quad{ \underline{ \green{ \boxed{TSA_{(cone)} = \pi r( l+r ) }}}} \quad\star \quad[/tex]

Here,

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (21 + 12)[/tex]

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (33)[/tex]

[tex]\rightarrow \: \frac{8712}{7} {cm}^{2} [/tex]

Therefore, Total Surface Area of Cone is 8712/7 cm² or 1244.57cm².

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Answer:

8 times longer

Step-by-step explanation:

The actual garden is 8 times the blueprint.

Reasoning? 56/7=8

How to check:

Use inverse operations:

7*8=56

Answer:

it would be 800-300 =500.

Answer:

3. f = gh

4. r = 1/s³

5. y = x[tex]\sqrt{z}[/tex]

6. m = n²/p

7. Inverse variation, s is constant

8. Direct Variation, x is constant

9. joint variation, q and r are both constants

10. Direct variation, r is constant

11. Joint variation, r and h are both constants

12. Inverse variation, x is constant

13. y = kx

17.5 = 21k

k = 21/17.5

y= (21/17.5)*39

y = 46.8

14.

m = kn

209 = 22k

k = 209/22

361 = (209/22)n

n = (361*22)/209

n = 38

The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

The radius of the semicircle is 6 feet and the distance from F to E is 3 feet. The measure of an arc is 45°.

First, the sector is the part of the circle made of the arc of the circle along with its radii. The area of the sector of a circle is represented by

The angle of the sector is 360°

The area of the circle [tex]\rm \pi r^{2}[/tex] and the angle is ∅

The area of the sector,  [tex]\rm A= \frac{\Theta}{360} \times\pi r^{2}[/tex]

Here, the area of the glass in region BCIHis the difference between the area of the sector of region BCIGH and the region HIG.

The area of the region BCIH

[tex]\rm = \frac{\ 45}{360} \times\pi (6^{2} -3^{2} )[/tex]

[tex]\rm = \frac{\ 1}{8} \times\pi (27 )[/tex]

[tex]\rm = 10.5\; ft^{2}[/tex]

Hence, The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

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Answer:

11 ft2

Step-by-step explanation:

hope this helps

Answer:

5 units

Step-by-step explanation:

Luckily, we don't need to use the distance formula as we just need to find the distance between the x-coordinates. Thus, |4-9| = |-5| = 5, which means that the distance between (4,-3) and (9,-3) is 5 units

Answer:

5

Step-by-step explanation:

Point (4, -3) and point (9, -3) have the same y-coordinate of -3.  Therefore, both points are on the line y = -3.

Any line that is y = {number} is a horizontal line.

Therefore, to find the distance between the points, find the difference between the x-values:

9 - 4 = 5

Therefore, the distance between (4, −3) and (9, −3) is 5

Answer:

The LCM of 26 and 32 is 416.

Answer:

50

Step-by-step explanation:

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

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Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

Answer:

19

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Solution:

Note that:

First, let's convert the yards into feet.

Now, divide 18 both sides to find the cost of 1 foot.

The price of the twine per foot is $0.16.

The first step is to convert yards to foot: 1 yard = 3 foot

In order to convert yards to foot, multiply 6 by 3: 6 x 3 = 18 foot

The price per foot can be determined by dividing $2.88 by 18 foot

$2.88 / 18 = $0.16

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Answer:

Step-by-step explanation:

Binomial distribution:  [tex]X \sim B(n,p)[/tex]

where n is the number and p is the probability

Given:

[tex]X \sim B(12,0.8)[/tex]

P(X ≥ 10) = 1 - P(X ≤ 9)

              = 1 - 0.4416542515...

              = 0.5583 (4 dp)