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3 years ago

13

dyan wants to buy a book for $16.95 and a magazine for $4.50. about how much will he need to buy the items without having to rou

nd down to the nearest benchmark

1 answer:

Marta_Voda [28]3 years ago

8 0

25$ is the answer.....

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Gragh the image of the figure after a dilation with a scale factor of 1/4 centered at (5, -5) please help

svetoff [14.1K]

Answer:

See attached diagram

Step-by-step explanation:

Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).

The dilation with a scale factor of 1/4 centered at (5, -5) has the rule

$(x,y)\rightarrow \left(\dfrac{1}{4}x+\dfrac{15}{4},\dfrac{1}{4}y-\dfrac{15}{4}\right)$

Then

$A(9,3)\rightarrow A'\left(\dfrac{1}{4}\cdot 9+\dfrac{15}{4},\dfrac{1}{4}\cdot 3-\dfrac{15}{4}\right)=A'(6,-3);$

$B(-7,-5)\rightarrow B'\left(\dfrac{1}{4}\cdot (-7)+\dfrac{15}{4},\dfrac{1}{4}\cdot (-5)-\dfrac{15}{4}\right)=B'(2,-5);$

$C(-3,7)\rightarrow C'\left(\dfrac{1}{4}\cdot (-3)+\dfrac{15}{4},\dfrac{1}{4}\cdot 7-\dfrac{15}{4}\right)=C'(3,-2).$

6 0

3 years ago

The sum of 3 consecutive even number is 270<br>what is thr first number in this sequense

Alenkasestr [34]

Answer:

the first 3 consecutive numbers

x, x +1, x +2 = 270

x+x+1+x+2 =270

3x +3 =270

collect like terms

3x =270 -3

3x =267

divide both sides by 3

x =89

7 0

3 years ago

If m A. <br> 25°<br> B. <br> 12.5°<br> C. <br> 37.5°<br> D. <br> 50°

chubhunter [2.5K]

It’s A because the angles are acute and thoses are 25

8 0

2 years ago

What is the approximate value of x in the diagram below? (Hint: You will need

Delicious77 [7]

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as $\frac{opposite}{hypotenuse}$ . So let's plug in known values:

$sin(43) = \frac{27}{x}$

Multiply both sides by x

$sin(43) * x = 27$

divide both sides by sin(43)

$x=\frac{27}{sin(43)}$

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

$x=\frac{27}{0.682}$

simplify the fraction

$x\approx39.59$

8 0

2 years ago

I GIVEEEEE BRAINLILSTTTTT

Anestetic [448]

Answer:

C(1,-2)

D(1,1)

E(2,-1)

4 0

3 years ago