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3 years ago

6

This is a pattern where the terms are related by addition and subtraction. A fixed number is added or subtracted between each te

rm. It is called an _____ pattern.

1 answer:

7nadin3 [17]3 years ago

3 0

It is called an arithmetic pattern.

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Honey's blueberry muffin recipe calls for 3 1/4 pounds of blueberries and 2 1/2 cups of muffin mix. How many cups of muffin mix

astra-53 [7]

For this case we convert the mixed numbers to improper fractions: $3 \frac {1} {4} = \frac {4 * 3 + 1} {4} = \frac {12 + 1} {4} = \frac {13} {4}\\2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {4 + 1} {2} = \frac {5} {2}$

Now, we propose a rule of three:

$\frac {13} {4}$ pounds of blueberries -------------> $\frac {5} {2}$ cups of muffin mix

7 pounds of blueberries -----------------------------> x

Where the variable "x" represents the number of cups of muffin mix that Honey should use.

$x = \frac {7 * \frac {5} {2}} {\frac {13} {4}}\\x = \frac {\frac {35} {2}} {\frac {13} {4}}\\x = \frac {35 * 4} {2 * 13}\\x = \frac {140} {26}\\x = \frac {70} {13}\\x = 5.38$

So approximately Honey should use $5 \frac {5} {13}$ cups of muffin mix

Answer:

Approximately Honey should use $5 \frac {5} {13}$ cups of muffin mix

7 0

3 years ago

Please help asap will give brainliest !!!

Andrei [34K]

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

3 0

3 years ago

A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

$\angle DCB =45^\circ\\\angle ACB =75^\circ\\$

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the $\triangle ABC$ , we are given the base BC and the $\angle ACB$ , and the perpendicular is to be find out.

We can use trigonometric identity:

$tan\theta =\dfrac{Perpendicular}{Base}$

$tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft$

Hence, D. $tan(30^\circ+45^\circ)$ is the correct answer.

5 0

3 years ago

MIDPOINT & DISTANCE help

tamaranim1 [39]

Answer:

<h2>M(-6, 4)</h2>

Step-by-step explanation:

The formula of a midpoint of (x₁, y₁) and (x₂, y₂):

$M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have two points (-3, 7) and (-9, 1).

Substitute:

$x=\dfrac{-3+(-9)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{7+1}{2}=\dfrac{8}{2}=4$

5 0

4 years ago

Find the area of the shaded region

kodGreya [7K]

Answer: 21.994 cm²

Step-by-step explanation:

Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.

Formula for finding area of a circle = πr² where π is a constants . It has value of 22/7 or 3.142

Now area of the bigger circle = 3.142 x 3²

= 3.142 x 9

= 28.278 cm² Now are of the two smaller triangle = 3.142 x 1² x 2

= 6.284 cm².

Therefore are of the shaded region = 28.278 - 6.284

= 21.994 cm²

7 0

3 years ago