Find the area of the shaded part of the triangle below. Round to the nearest tenth if needed.

9514 1404 393

Answer:

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°

Answer:

35y - 20

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex](25y - 50) + 25y ← distribute parenthesis

= 10y - 20 + 25y ← collect like terms

= 35y - 20

Answer:= 293.09

Step-by-step explanation:

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Answer:

30.50

Step-by-step explanation:

just add

Answer: She jump ropes 7/3 or 2 1/3 of an hour every week

Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)

I hope you are having a nice day!

Answer:

2 hours 33 minutes

Step-by-step explanation:

1/3 of an hour is 20 minutes

20 times 7 is 140

140 divided by 60 is 2.33 hours

so 2 hours and 33 minutes

Answer:

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 2, 3)

m = [tex]\frac{3-1}{-2+3}[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (- 3, 1 ) into the partial equation

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 2x + 7 ← equation of line

Answer:

It’s already solved for y

y = x - 4

Step-by-step explanation:

If it’s for x,    X = y + 4

Answer:  345 cal

Step-by-step explanation:

Solution 1:

230/4 = x/6

4x = 6(230)              use cross multiply

4x = 1380

x = 345 cal

Solution 2:

Cal in 1 ounces: 230/4 = 57.5cal/ounces

Cal in 6 ounces: 57.5cal/ounces x 6 = 345 cal

Answer: x > -3

Step-by-step explanation:

Answer:

x>-3

Step-by-step explanation:

Answer:

4 puzzles would cost $41.50

Answer:

$41.50

Step-by-step explanation:

Add the currency of your sum then subtract but double the 75%

i hope this helped :)

Answer:

$187.50

Step-by-step explanation:

Set up an equation

250 m/$x = 1 m/$0.75

Cross multiply

250 miles × $0.75 = 1x

$187.50 = x

Answer:

the fisrst cup has a volume of 100.53

Step-by-step explanation:

Answer:

[tex]y = \frac{3}{6}x - 3[/tex]

Answer:

n=-11/18

Step-by-step explanation:

1/6=n+7/9

Change the sign and move the variable to the left hand side

-n+1/6=7/9

Change its sign and move constant to the right hand side

-n=7/9-1/6

Subtract the fractions

-n=11/18

Change the sign on both sides

n=-11/18

Answer:

3) confirmed right triangle

4) not a right triangle

Step-by-step explanation:

3) 5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

4) 4^2 + 10^2 = 20^2

16 + 100 = 400

116 does not equal 400

Answer:

[tex]x + 1 + x + 3 = 180[/tex]

by vertically opposite angle theorem

[tex]x + x + 1 + 3 = 180[/tex]

[tex]2x + 4 = 180[/tex]

[tex]2x = 180 - 4 = 176[/tex]

[tex]x = \frac{176}{2} [/tex]

[tex]x = 88[/tex]

have a nice day

Answer:

Weight of the flour = 5/4 pounds

Number of cups added = 4 cups

Step-by-step explanation:

Weight of the bowl = 1½ pounds

Total weight of the bowl and the flour = 2¾ pounds

Weight of the flour = Total weight of the bowl and the flour - Weight of the bowl

= 2¾ pounds - 1½ pounds

= 11/4 - 3/2

= 11-6/4

= 5/4 pounds

Weight of the flour = 5/4 pounds

If each cup of flour weighs 5/16 pound, how many cups of flour does he add

Number of cups added = 5/4 ÷ 5/16

= 5/4 × 16/5

= (5*16)/(4*5)

= 80/20

= 4

Number of cups added = 4 cups

Answer:

32

Step-by-step explanation:

add the absolute value of -14 and 18

Answer:

Hence it will take 35hours

Step-by-step explanation:

Let the time it took to dig hole be x

Ley the number of holes be n

Using the relationship x = kn (direct relationship)

if it takes 3 men 5 hours to dig 12 holes, hence;

when x = 5, n = 12

k = x/n

k = 5/12

To get how many hours it take for 3 men to dig 84 holes, then;

when n = 84, x = ?

x = 5/12 * 84

x = 5 * 7

x = 35hours

Hence it will take 35hours

Answer:

x= 8

Step-by-step explanation:

5.5(x-3)=17+10.5

5.5x - 16.5= 27.5

5.5x= 44

x= 8

Answer:

y = 2/7x  

Step-by-step explanation:

Answer:

45 to 18 it's easy

Step-by-step explanation:

subtract 18 from 63 and there is your ratio

Answer:

here is a example to help, becuase The format is messed up on my side Construct a line CD to cut the line AB at point E.

We know that in the triangle BDE exterior angle is equal to the sum of two opposite interior angles

We know that in the triangle AEC exterior angle is equal to the sum of two opposite interior angles

∠CEB=∠CAB+∠ACE

By substituting the values

2x2=10

Step-by-step explanation:

2x2==2+2=4

4+6=10

Answer:

x = 3

Step-by-step explanation:

We divide the sides by 3 to get the triangle in question

Answer:

Water level and temperature

Step-by-step explanation:

Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.