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3 years ago

Solve: |2x − 1| < 11. Edge 2020. Thanks!

Mathematics

1 answer:

podryga [215]3 years ago

5 0

Answer: -5 < x < 6. (-5, 6)

Step-by-step explanation:

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Carlos is baking banana bread. He uses 3/8 cup of brown sugar in one loaf. He is making six loaves of banana bread. How much bro

vichka [17]

2 cups of brown sugar

6 0

3 years ago

Read 2 more answers

What is the domain and range? <br><br> {(-7,5), (-6,1), (-5,0), (-4,1)}

Monica [59]

The Domain is the first number of the pair
D= -7, -6, -5, -4
The Range is the second number of the pair
R= 5, 1, 0, when a number repeats like the number one you can put it once.

8 0

4 years ago

The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are

Mashcka [7]

Answer:

The area of triangles are 16 cm^2 and 49 cm^2

Step-by-step explanation:

we know that

If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

$z=\frac{4}{7}$

$\frac{x}{y}=z^2$

$\frac{x}{y}=(\frac{4}{7})^2$

$\frac{x}{y}=\frac{16}{49}$

$x=\frac{16}{49}y$ -----> equation A

$x+y=65$ ----> equation B

solve the system by substitution

substitute equation A in equation B

$\frac{16}{49}y+y=65$

solve for y

$\frac{65}{49}y=65$

$y=49\ cm^2$

Find the value of x

$x=\frac{16}{49}(49)$

$x=16\ cm^2$

therefore

The area of triangles are 16 cm^2 and 49 cm^2

3 0

4 years ago

Read 2 more answers

AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA= 50 degrees and the measure of

defon

Answer:

Part 1) $m\angle AFE=55^o$

Part 2) $m\angle EFB=125^o$

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)

$m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)$

substitute the given values

$m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o$

Part 2) what is the measure of angle EFB?

we know that

$m\angle AFE+m\angle EFB=180^o$ ---> by supplementary angles (form a linear pair)

substitute the given value

$55^o+m\angle EFB=180^o$

$m\angle EFB=180^o-55^o=125^o$

8 0

4 years ago

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

Elanso [62]

Lateral area = Perimeter x height

Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²

Surface area = 2(1/2 x 2 x 7) + 505 = 519 m²

Answer: Lateral area = 505 m² ; Surface area = 519 m²

6 0

4 years ago