Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.

For how many days does Marc have brownies before they run out?

The shape is a trapezoid with the top part being 29 cm in length, and the bottom being 41 cm in length. The height is 20 cm.

Answer:

135

Step-by-step explanation:

Using the given recursive rule, then

[tex]a_{2}[/tex] = [tex]a_{1}[/tex] (- 9) = [tex]\frac{5}{3}[/tex] (- 9) = - 15

[tex]a_{3}[/tex] = [tex]a_{2}[/tex] (- 9) = - 15 × - 9 = 135

For this case we have that the area of the triangle is given by:

[tex]A = \frac {b * h} {2}[/tex]

Where:

b: It's the base

h: It's the height

We have to:

[tex]cos (45) = \frac {b} {24}\\b = 24 * cos (45)\\b = \frac {\sqrt {2}} {2} * 24\\b = 12 \sqrt {2}[/tex]

The atura will be given by:

[tex]sin (45) = \frac {h} {24}\\h = 24 * sin (45)\\h = \frac {\sqrt {2}} {2} * 24\\h = 12 \sqrt {2}[/tex]

So, the area is:

[tex]A = \frac {12 \sqrt {2} * 12 \sqrt {2}} {2}\\A=\frac{(12\sqrt{2})^2}{2}\\A = 144[/tex]

Answer:

144

Answer:

Area=144

Step-by-step explanation:

In right triangle ABC,

[tex]\sin\left(45^o\right)=\frac{BC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{BC}{24}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{Height}{24}[/tex]

[tex]\frac{24}{\sqrt{2}}=Height[/tex]

[tex]Height=\frac{24}{\sqrt{2}}[/tex]

similarly

[tex]\cos\left(45^o\right)=\frac{AC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{AC}{24}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{Base}{24}[/tex]

[tex]\frac{24}{\sqrt{2}}=Base[/tex]

[tex]Base=\frac{24}{\sqrt{2}}[/tex]

Then area of right triangle [tex]=\frac{1}{2}\left(Base\right)\left(Height\right)[/tex]

[tex]=\frac{1}{2}\left(\frac{24}{\sqrt{2}}\right)\left(\frac{24}{\sqrt{2}}\right)[/tex]

[tex]=\frac{576}{4}=144[/tex]

Hence Area=144

Answer:

∠ADC and ∠BDC are supplementary

A pair of complementary angles is angles ACD and DCB.

<ADC and <BDC are supplementary angles

<ACD and <BCD are complementary angles)

Complementary Angles: Two angles that add up to 90 degrees, complementing each other to form a right angle, e.g., 30 and 60 degrees.

Supplementary Angles: Two angles that add up to 180 degrees, forming a straight line, e.g., 120 and 60 degrees.

From the figure

ED is a ray that bisects AB and <ACB

<ACB is 90⁰(given)

<ADC + <BDC = 180( linear angles)

Linear angles are supplementary

Therefore

<ADC and <BDC are supplementary angles

Since <ACB = 90⁰

ED is a bisector

Therefore

<ACD + <BCD = 90⁰

<ACD and <BCD are complementary angles)

learn more about bisector here

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Answer:

4.5

Step-by-step explanation:

To get the answer, you have to multiply the number 0.45 by the denominator of 1/10. [The denominator is 10.]The reason for this is because 10 is the whole number of parts. When you multiply 1/10 x 0.45, you get 4.5 [Just move the decimal point one place to the right because 10 has one zero.]

To double check your answer, divide 4.5 by 10 or multiply 4.5 x 1/10. Either way you get 4.5, so that's the correct answer.

I hope this helps!

Answer:

a.) 8m

b.) -5k+13m

c.) 3k+6m

Hope This Helps!  Have A Nice Day!!

Answer:

The correct answer is option D.  790 m²

Step-by-step explanation:

Formula:-

Area of triangle = bh/2

Area of rectangle = bh

where b - Base and h - Height

To find the area of prism

Area of prism = Base area  + side rectangle area + side triangle area

 = (16 * 11)  + (2 * 11 * 17) + (2 * 16 * 15 /2)

 = 176 + 374 + 240

 = 790 m²

Therefore the correct answer is option D.  790 m²

The surface area of the triangular prism is 790m². ( option D)

A triangular prism is a type of prism with triangular base. The surface area of a prism is expressed as ;

SA = 2B + ph

where , B is the base area and p is the perimeter of the base.

Base area = 1/2bh

where b is the base and h is the height

= 1/2 × 16 × 15

= 8 × 15

= 120m²

Perimeter = 17 + 16 + 17 = 50m²

Surface area = 2 × 120 + 50 × 11

= 240 + 550

= 790 m²

Therefore, the surface area of the prism is 790m²

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

4x = 20

X = 5

This means the width is 5 and the length is 7.

The width of the rectangle is 5 inches and its length is 7 inches.

The given equation 2x + 2(x + 2) = 24 represents the situation with a rectangle's length being 2 inches more than its width and the perimeter of the rectangle being 24 inches. To find the value of x from the set {1, 3, 5, 7} that holds true for the equation, we can substitute each value into the equation and solve for x. By trying each value, we find that x = 5 holds true for the equation.

Therefore, the width of the rectangle is 5 inches and since the length is 2 inches more than the width, the length would be 7 inches.

The lowest common denominator of the two fractions is 4 because it is the smallest number that both fractions can be transformed into. 3/2 is multiplied by 2 to create 6/4 which can be added to 11/4.

we could add the left-side and then cross-multiply and so on, OR we can simply get the LCD of all denominators, in this case 4,2 so our LCD will just be 4, and multiply both sides by 4, that way doing away with the denominators, so let's do so

[tex]\bf 3d-\cfrac{11}{4}=\cfrac{3}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( 3d-\cfrac{11}{4} \right)=4\left( \cfrac{3}{2} \right)}\implies 12d-11=6 \\\\\\ 12d=17\implies d=\cfrac{17}{12}\implies d=1\frac{5}{12}[/tex]

300 parents

3/4 = x/400, and we are trying to find x.

Multiply the numerator and denominator of 3/4 each by 100 to make the denominator equal 400. This gives 300/400. So, 300/400 = x/400.

Multiply both sides of the equation by 400 to cancel out the division. This gives you 300 = x, so 300 parents said yes to the survey.

It’s C or 34+24=58 so the answer is C

It is c 58 your welcome

Answer:

EF , HG , Parallel

Step-by-step explanation:

Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.

Also given that AB was parallel to DC.

Now we have to fill in the certain blanks.

Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.

Also HG is parallel to DC, EFGH is a translated image of ABCD.

Also we are given that AB is parallel to DC. Hence we have following results.

AB║DC

AB║EF

Hence CD║EF

also

CD ║HG

CD║EF

Hence we can come to conclusion that

EF║HG

Hence our answer will be

corresponding segments EF and HG are parallel to each other.

Answer:

13/12

Step-by-step explanation:

B - 7/4 = -2/3

B = -2/3 + 7/4

B = 13/12

The average of 6 quiz scores, where [tex]x[/tex] is the score of the last quiz, is

[tex]\dfrac{83+81+89+92+80+x}6=\dfrac{425+x}6[/tex]

The student needs a minimum average of 86 to earn an A:

[tex]\dfrac{425+x}6=86\implies425+x=516\implies x=91[/tex]

so the student needs a score of 91.

Answer:

0

Step-by-step explanation:

0(No+Problem)

0+0=0

Answer:

Tell us

Step-by-step explanation:

yeah what the proudcut

1. 10x+5=35

2. 5x+10=35

3. 35x+5=10

104.4...............................:::::::

Answer:

a lot

Step-by-step explanation:

f(x) is linear

g(x) is exponential

Answer: linear, exponential

Step-by-step explanation:

f(x) the blue line has a constant slope so is a line (linear).

g(x) the red line has an asymptote at x = 0 and has an exponential rate/slope so is exponential.

Answer:

2nd answer choice from the top

Step-by-step explanation:

B is the answer for this question

Answer:

A

Step-by-step explanation:

1) Count the numbers larger than 5

(6,7,8,9,10)

2) Put it over a fraction

5/10

3)Simplify

1/2

Answer:

There is no number, I believe, but here:

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hope that helps!

huh I don’t know but hope you find what your looking for

Answer:

27.5 square yards

Step-by-step explanation:

So, we have two shapes connected together and we want to know the combined area of the two.  All we have to do is find out the area of each one, then add the results.

First, the rectangle:

The area of a rectangle is the base multiplied by the height, so

A = 6 x 4 = 24 square yards

Then, the half-circle.

We know the area of a circle is calculated with A = π * r², so the area of a half circle will be A = (π * r²)/2.

We know the circle has a diameter of 3 yards because the wall next to it is also 3 yards and the whole structure is 6 yards wide, so...

A = (π (1.5)²)/2 = 2.25 π / 2 = 3.53 square yards

Overall, we have

Area of the rectangle: 24 square yards

Area of the half-circle: 3.53 square yards

Total: 27.53 square yards, rounded to the tenth: 27.5 square yards.

Answer:

27.5 yards^2

Step-by-step explanation:

We are given a figure which comprises of two shapes: a rectangle and a semicircle and we are to find the area of this composite figure.

We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:

Area of rectangle = [tex]length \times width[/tex] = [tex]6 \times 4[/tex] = 24 yd^2

Area of semi-circle = [tex]\frac{\pi r^2}{2}[/tex] = [tex]\frac{3.14 \times 1.5^2}{2}[/tex] = 3.53 yd^2

Area of composite figure = [tex]24+3.53[/tex] = 27.5 yards^2

Answer: -12

Step-by-step explanation:

-12 is greater than -21 because -12 is the closest to 0 on the number line.

Answer:

7 hours.

Step-by-step explanation:

Pretty easy. 14 divided by 2. To check the answer, 2 x 7 = 14.

When the temperature change rate is -2 degrees Fahrenheit per hour, it takes 7 hours for the temperature to drop by -14 degrees Fahrenheit.

The question asks us to determine the time it took for the temperature to drop by -14 degrees Fahrenheit when the rate of temperature change was -2 degrees Fahrenheit per hour. This can be solved using a simple equation of rate × time = change in quantity. As the rate is -2 degrees Fahrenheit per hour and the total temperature drop is -14 degrees Fahrenheit, the equation becomes -2 × time = -14. To solve for time, divide the total temperature change by the rate of change. Substituting the values into the equation gives: time = -14 / -2. Thus, the time it took for the temperature to drop by -14 degrees Fahrenheit was 7 hours.

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Final answer:

Chef Katrina used 3 cups of pecans and 9 cups of peanuts for her Merry Munch Mix, totaling $35.22 based on the given prices of $4.99 per cup of pecans and $2.25 per cup of peanuts.

Explanation:

Calculating the Quantities of Pecans and Peanuts in the Merry Munch Mix

Chef Katrina uses a ratio of 1 cup of pecans to 3 cups of peanuts in her mix. We are given the cost per cup of pecans as $4.99 and the cost per cup of peanuts as $2.25. The total cost of nuts in the mix is $35.22.

To solve this, let's denote the number of cups of pecans used as p and the number of cups of peanuts as 3p (since there are three times as many peanuts as pecans). The total cost for pecans would be p times $4.99 and for peanuts 3p times $2.25.

Our equation based on the total cost is:
4.99p + 2.25(3p) = 35.22
4.99p + 6.75p = 35.22
11.74p = 35.22

Dividing both sides by 11.74 to solve for p:
p = 35.22 / 11.74
p = 3 cups of pecans

As there are three times more peanuts than pecans:
3p = 3 * 3 = 9 cups of peanuts

Therefore, Chef Katrina used 3 cups of pecans and 9 cups of peanuts in her Merry Munch Mix.

Answer:

Step-by-step explanation:

The formula of a perimeter of a square withe side a:

P = 4a

We have a = 5(2p + 3).

Substitute:

P = 4[5(2p + 3)]               use the distributive property

P = 4[(5)(2p) + (5)(3)] = 4(10p + 15) = (4)(10p) + (4)(15)

P = 40p + 60

[tex]c. \: \frac{1}{b^{3} } [/tex]

Answer:

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar (AAA). Therefore corresponding sides are in proportion

[tex]\dfrac{15}{x}=\dfrac{x}{20-15}\\\\\dfrac{15}{x}=\dfrac{x}{5}[/tex]

cross multiply

[tex]x^2=(15)(5)\\\\x^2=75\to x=\sqrt{75}\\\\x=\sqrt{25\cdot5}\\\\x=\sqrt{25}\cdot\sqrt5\\\\x=5\sqrt5[/tex]

For 1 and 2 the formula to find range is: the total of all the numbers divided by how many numbers there are added together (in the case of #1 it would be 6 #s being added)

105 Degree

Because the angle x

Is the same angle of 105 in X to Y

Answer:

C

Step-by-step explanation:

Since DE and XY are parallel lines then

x and 105 are corresponding angles and congruent, hence

x = 105 → C

Answer:

Go to desmos.com/calculator and there will be a graphing calculator

Step-by-step explanation:

Vote and say thanks!

The first number in each set is for the x axis and the second on the y