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sladkih [1.3K]
3 years ago
10

Find the area of a triangle with a base length of 4 units and a height of 5 units. (1 point) 8 square units 9 square units 10 sq

uare units 20 square units
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
5 0

Answer:

10 square units

Step-by-step explanation:

Because to get the area of a triangle you cut the base length in half then multiply it by the height, in this case 2.5*4 = 10 square units

bearhunter [10]3 years ago
4 0

Answer:

The correct answer is 10 units.

Step-by-step explanation:

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At the fair, you spend $6 for food, then use the rest of your $20 to buy ride tickets. You have
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C. Divide 20 and 56, you’ll get 0.35
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Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog
liraira [26]

Complete question is;

Building an A - frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house a set of plans by searching the net.

side 1 = 45¼ in

side 2 = (Gusset plate)

5¾ in high

3⅓ in base

corner of side 2 = 2 inches thick

side 3 (floor plate)= 37¼ in

A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measures shown in the drawing and find half of the measure. Show your work to get full credit!

Answer:

new side 1 = 22⅝ in

For side 2:

New height = 2⅞

New base = 1⅔ in

New corner = 1 in

New side 3 = 18⅝ in

Step-by-step explanation:

We are told that a customer has offered to pay extra if you will make one half the size called for in the plans.

Thus, we will divide each number by 2

We are given side 1 = 45 1/4 in = 45.25 in

New side 1 = 45.25/2 = 22.625

Converting to fraction form: new side 1 = 22⅝ in

We are given side 2 = (Gusset plate)

Height = 5¾ in = 5.75 in

New height = 5.75/2 = =2.875

Converting to fraction:

New height = 2⅞

Base = 3⅓ in = 3.33 in

New base = 3.33/2 = 1.66

Converting to fraction:

New base = 1⅔ in

Corner of side 2 is 2 inches thick

New corner = 2/2 = 1 in

side 3 (floor plate) = 37¼ in = 37.25 in

New side 3 = 37.25/2 = 18.625

Converting to fraction:

New side 3 = 18⅝ in

8 0
3 years ago
Estimate the limit. <br> Picture below
vova2212 [387]

Answer:

Hence, the limit of the expression:\lim_{x \to 1} \dfrac{\dfrac{1}{x+2}-\dfrac{1}{3}}{x-1} is:

\dfrac{-1}{9}

Step-by-step explanation:

We are asked to estimate the limit of the expression:

\lim_{x \to 1} \dfrac{\dfrac{1}{x+2}-\dfrac{1}{3}}{x-1}

We will simplify the expression by first taking the l.c.m of the terms in the numerator to obtain the expression as:

\dfrac{3-(x+2)}{3(x+2)}\\\\=\dfrac{3-x-2}{3(x+2)}\\\\=\dfrac{1-x}{3(x+2)}

\lim_{x \to 1} \dfrac{1-x}{3(x+2)(x-1)}\\\\= \lim_{x \to 1} \dfrac{-(x-1)}{3(x+2)(x-1)}\\\\\\= \lim_{x \to 1} \dfrac{-1}{3(x+2)}

since the same term in the numerator and denominator are cancelled out.

Now the limit of the function exist as the denominator is not equal to zero when x→1.

Hence,

\lim_{x \to 1} \dfrac{-1}{3(x+2)}\\\\=\dfrac{-1}{3(1+2)}\\\\=\dfrac{-1}{3\times 3}\\\\=\dfrac{-1}{9}

Hence, the limit of the expression:\lim_{x \to 1} \dfrac{\dfrac{1}{x+2}-\dfrac{1}{3}}{x-1} is:

\dfrac{-1}{9}

6 0
3 years ago
Read 2 more answers
What is 2.4n 9.6 the coeficent of the variable
irinina [24]
The Coefficient is 1
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2 years ago
Estimate the area under the graph of f(x)=1/x+4 over the interval [-1,2] using four approximating rectangles and right endpoints
kiruha [24]

Answer:

  Rn ≈ 0.6345

  Ln ≈ 0.7595

Step-by-step explanation:

The interval from -1 to 2 has a width of (2 -(-1)) = 3. Dividing that into 4 equal intervals means each of those smaller intervals has width 3/4.

It can be useful to use a spreadsheet or graphing calculator to evaluate the function at all of the points that define these intervals:

  x = -1, -.25, 0.50, 1.25, 2

Of course, the spreadsheet can easily compute the sum of products for you.

__

The approximation using right end-points will be the sum of products of the interval width (3/4) and the function value at the right end-points:

  Rn = (3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25) +(3/4)f(2)

  Rn ≈ 0.6345

__

The approximation using left end-points will be the sum of products of the interval width (3/4) and the function value at the left end-points:

  Ln = (3/4)f(-1) +(3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25)

  Ln ≈ 0.7595

_____

It is usually convenient to factor out the interval width, so only one multiplication needs to be done: (interval width)(sum of function values).

5 0
3 years ago
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