Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?

Answer:

(y-7) (y+12)

Step-by-step explanation:

Factor y2+5y−84y2+5y-84 using the AC method.

Answer:

Below.

Step-by-step explanation:

a.    Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25)      (We only take the positive root).

Φ  = 0.5 + √(1.25)

b. I used Completing the square.

c.  Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

Answer:

56 adult tickets were sold

Step-by-step explanation:

Ratio of ticket sold to Children and adult is in the ratio 4 : 7

Total ratio = 4 +7 = 11

Ratio of adult = 7

Total ticket sold = 88

Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold

Number of adult tickets sold = 7/11 * 88

Number of adult tickets sold = 7 * 8

Number of adult tickets sold  = 56 tickets

Hence 56 adult tickets were sold

Answer:

Answer:

m=14°, n=28°

Step-by-step explanation:

Angles in a Circle

The central angle is formed between two radii and its vertex at the center of the circle.

An inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.

The measure of the central angle a formed by the same lines that form an inscribed angle b is:

a = 2b

This means the angle of a = 98° is double of the inscribed angle of 35°+m:

98 = 2(35 + m)

Dividing by 2:

49 = 35 + m

Solving for m:

m = 49 - 35 = 14

m = 14°

Angles m and n are also formed by the same lines, and:

n = 2m

Thus:

n = 28°

Answer: m=14°, n=28°

Answer:

4th quadrant

Step-by-step explanation:

Given that:

cot θ > 0  or  sin θ < 0

[tex]cot \theta = \dfrac{1}{tan \theta}[/tex]

where;

[tex]tan \theta = \dfrac{sin \theta}{cos \theta}[/tex]

∴

If [tex]cot \theta = \dfrac{cos \theta}{sin \theta}>0[/tex] or sin θ < 0, then the terminal arm of the angle lies in the 4th quadrant

Answer:

j. Pam, Tia, Veronica, Lily (if it's youngest to oldest)

Step-by-step explanation:

If Tia is 8 yrs old and she's 2 yrs older than Pam, then Pam must be 6 yrs old. Pam si 5 yrs younger than Veronica who must be 11 + 4 = 15.

Tia: 8 yrs.

Veronica: 11 yrs

Pam: 6 yrs.

Lily: 15

Answer: from youngest to oldest it’s Lily, Veronica, Tia, then Pam

Step-by-step explanation:

Tia being 8, Pam is 6, Veronica is 11 and Lily is 15

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

i.e.

1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

1 minute = 45/60 = 0.75 km

To cm;

0.75 km = (0.75 × 1000) m = 750 m

750 m = 750 × 100 = 75,000 cm

∴

The number of revolution in 5 minutes sInce 1 revolution =  50π cm is:

=  75,000 cm/ 50π cm

= 477.47 revolutions in 5 minutes

Answer:

70

Step-by-step explanation:

Because PQ tangent to circle, angle P is 90

angle S = 180 - 90 - 20 = 70

Answer:

B

Step-by-step explanation:

it is

Answer:

Y = 1.50000

X = 1.50000

I don't understand the question, hopefully this is what you are looking for.

#LearnWithBrainly

Answer:

A.

Step-by-step explanation:

The coordinates are currently on the top left, which means one of the coordinates are negative. If you look at the chart, you can see that the X-axis is negative, and X is first on a coordinate plane. (X,Y) So, if the negative coordinate is X, and X goes first, then there's no other choice than to choose A, which is the only answer choice that has a negative X-axis in their coordinate plane! Hope this helps!

Answer:

5x + 20

Step-by-step explanation:

5(x +4)

= 5x + 20

multiply x + 4 by 5

Answer:

y=-2x+2

Step-by-step explanation:

Answer:

#4 is option one 18 miles

Step-by-step explanation:

The number of minutes that Abby spend working on her science project altogether is 56 minutes.

From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.

Therefore, the time used altogether will be the addition of the time used for both occasions

= 22 minutes + 34 minutes

= 56 minutes

This illustrates addition.

Learn more about time on:

brainly.com/question/26046491

#SPJ1

Answer:

Step-by-step explanation:

As per diagram, the triangles have 3 congruent sides:

So they are congruent by SSS criteria

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

[tex]\displaystyle \frac{r}{r+y+b} \qquad\qquad [1][/tex]

Knowing that:

[tex]\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2][/tex]

[tex]\displaystyle \frac{y}{b}=\frac{5}{4}[/tex]

Multiplying the equations above:

[tex]\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}[/tex]

Simplifying:

[tex]\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3][/tex]

Dividing [1] by r:

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}[/tex]

Substituting from [2] and [3]:

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}[/tex]

Operating:

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}[/tex]

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}[/tex]

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}[/tex]

The fraction of the beads that are red is [tex]\mathbf{\frac{10}{37}}[/tex]

Answer:

Yes, by SSS

Step-by-step explanation:

They are touching by their hypotenuses in the middle (they are sharing a hypotenuse).  

NP is the corresponding side for QM.  Their measures are both 10.

MN is corresponding to PQ, and both sides equal 18.

Answer:

type question correctly

Step-by-step explanation:

I will help you

Answer:

D

Step-by-step explanation:

Here, we want to compare the graph of g(x) and f(x)

Looking at the given equations, the difference between the two is that we have 5 subtracted from one of the equations

What this means is that we are moving down 5 units away from the graph of f(x) to get the graph of g(x)

Thus, option D is the correct answer

Answer:

[tex]y=4x+8.5[/tex]

Step-by-step explanation:

[tex]b=8.5[/tex]      the initial cost is $8.5

[tex]m=2.5+1.5[/tex]    the price changes by $4 for every hotdog & candy bar purchased

The final equation is    [tex]y=4x+8.5[/tex]

Answer:

$12.00

Step-by-step explanation:

$8.50 + $2.50 = $10.00 + $1.50 = total $12.00

Answer:

60000 + 3000 + 29

Step-by-step explanation:

The Standard form of 63029 is

60000 + 3000 + 29

-TheUnknownScientist

Answer:

one cup is bigger

Step-by-step explanation:

Answer:

12:16

48:64

3:4

Answer:

i am correct :))))))))))) hope this helped

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x+2−3x

−2x+4=2

Step 2: Subtract 4 from both sides.

−2x+4−4=2−4

−2x=−2

Step 3: Divide both sides by -2.

-2x/-2 = -2/-2