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3 years ago

The architect drew a design for the new kitchen. What is the area of the kitchen drawing?

Mathematics

1 answer:

nordsb [41]3 years ago

8 0

Answer:

Step-by-step explanation:

Area of the kitchen = Area small rectangle + area large rectangle + area triangle

Area small rectangle = (8-4)*1.5

Area large rectangle = (8-4)* 3

Area triangle = (1/2)*base*height = (1/2)*4*3

Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²

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The length of a rectangle is 15 ft greater than its width. If each dimension is decreased by 2 ft, the area will be decreased by

padilas [110]

Answer:

length = 35ft, width = 20ft

Step-by-step explanation:

We are working with length (L), width (W), and area (A). We are asked to find the 2 dimensions. The question tells us that L = W + 15, so we can express L in terms of W. However, we still don't know what A is. Since we have 2 unknowns, we somehow need to develop 2 equations to get a solvable system.

We can set up the first equation using the relationship between L and W:

$W(W+15)=A$

We can set up the second equation using the information in the second sentence:

$(W-2)(W+13)=A-106$

Now we can plug the first equation, already isolated for A, into the second equation and solve for W:

$(W-2)(W+13)=W(W+15)-106\\W^2+11W-26=W^2+15W-106\\4W=80\\W=20$

A pretty nasty-looking equation actually becomes pretty easy to solve. We know the length is 15ft greater than the width, so if W=20, L=35.

6 0

4 years ago

Consider the function f(x) =2x-6 find f(2)

tester [92]

Step-by-step explanation:

✧ $\underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } :$

f ( x ) = 2x - 6

✧ $\underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}:$

value of f ( 2 )

✧ $\underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} :$

❀ $\large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}$

⟼ $\large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}$

♨ $\boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ $\underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}$ !! ♕

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4 0

3 years ago

The selling price of a shirt before sales tax 10$.the finial price of a shirt including sales tax is 12.5 .what is the rate of t

maw [93]

$11.25 because 10 times 1.125 is equal to 11.25

7 0

3 years ago

Given the preimage and image,find the dilation scale factor.

Oliga [24]

Answer:

The dilation scale factor is $\frac{1}{2}$ .

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) $K' = \alpha_{1} \cdot K$

2) $T' = \alpha_{2} \cdot T$

3) $P' = \alpha_{3} \cdot P$

4) $J' = \alpha_{4} \cdot J$

5) $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$

If we know that $K = (2, 0)$ , $K' = (1, 0)$ , $T = (3, 0)$ , $T' = (1.5,0)$ , $P = (1, 5)$ , $P' = (0.5, 2.5)$ , $J = (0, 3)$ and $J' = (0, 1.5)$ , then the coefficients are, respectively:

$\alpha_{1} = \frac{1}{2}$ , $\alpha_{2} = \frac{1}{2}$ , $\alpha_{3} = \frac{1}{2}$ , $\alpha_{4} = \frac{1}{2}$

As $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$ , we conclude that the dilation scale factor applied in the preimage is equal to $\frac{1}{2}$ .

7 0

3 years ago

Hii! hopefully you can answer this :)

Gekata [30.6K]

Answer:

1.C

2.A

Step-by-step explanation:

8 0

3 years ago

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