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3 years ago

What is an acrostic poem for the word triangle?

1 answer:

3 0

T- Triangle sum and Third angles theorems
R- Right Triangle
I- Isosceles Triangle
A- Acute Angles
N- n-fold rotation symmetry for "E" triangles
G- Geometry
L- Legs of a triangle
E- Equilateral and Equiangular Triangles

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A company produces three combinations of mixed vegetables that sell in 1-kg packages. Italian style combines 0.4 kg of zucchin

Llana [10]

Answer:

Italian style = 18,000 packages

French style = 14,000 packages

Oriental style = 53,000 packages

Step-by-step explanation:

See the attached figure to represent the question

let the number of packages of Italian style = x

let the number of packages of French style = y

let the number of packages of Oriental style = z

By using the figure we can make the following equations:

0.4x + 0 * y + 0.2z = 17,800

0.3x + 0.5y + 0.3z = 28,300

0.3x + 0.5y + 0.5z = 38,900

Solving the 3 equations together to find x , y and z

Using the calculator:

x = 18,000 ⇒ Italian style packages

y = 14,000 ⇒ French style packages

z = 53,000 ⇒ Oriental style packages

6 0

4 years ago

Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set: A

gtnhenbr [62]

Answer:

$A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$

Step-by-step explanation:

Given: $\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}$ , $\text{A}=\left \{\text{q, s, u, w, y} \right \}$ , $\text{B}=\left \{\text{q, s, y, z} \right \}$ ,

$\text{C}=\left \{\text{v, w, x, y, z} \right \}$ .

To find: The elements in the set $A \cup C$ .

Solution:

We have,

$\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}$

$\text{A}=\left \{\text{q, s, u, w, y} \right \}$

$\text{B}=\left \{\text{q, s, y, z} \right \}$

$\text{C}=\left \{\text{v, w, x, y, z} \right \}$

Now, $A \cup C$ will contain all the elements in the set $A$ and all the elements in set $C$ .

So, $A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$ .

Hence, $A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$ .

7 0

3 years ago

Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?

mars1129 [50]

Answer:

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If m∠E = m∠Y and m∠F = m∠X

then

Triangles EFG and YXZ are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

The corresponding sides are

FE and XY

EG and YZ

GF and ZX

so therefore

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.

From the figure in the attachment , we can conclude that:

m∠E = m∠Y

m∠F= m∠X

m∠G = m∠Z

∴ ΔEFG ~ ΔYXZ ( ΔEFG is similar to ΔYXZ )

Because of the similarity , then:

FE : XY = EG : YZ = GF : ZX

Conclusion:

ΔFG is similar to ΔYXZ.

Segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX , i.e:

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

3 0

3 years ago

Read 2 more answers

2. If f(x) = 2(x - 3)2 find f(-8).

gtnhenbr [62]

Answer:

-44

Step-by-step explanation:

6 0

3 years ago

If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree?

tigry1 [53]

Ratio and proportion

real:shadow

so the person is 1.8m but the shadow is 4m
so
real:shadow=1.8:4

so
1.8:4=?:14
1.8/4=?/14
times both sides by 14
25.2/4=?
6.3=?

the tree is 6.3 m tall

8 0

3 years ago