All categories

3 years ago

Give the first 4 terms of the arithmetic sequence for which a(1) = -8 and d = 3.

Mathematics

1 answer:

cestrela7 [59]3 years ago

4 0

Answer:

a. -8, -5, -2, 1

Step-by-step explanation:

From the formulae,

tn= a + (n-1) d

You might be interested in

Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD

m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

$\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}$

$\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}$ --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

$\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}$

$\frac{194}{WY}=\frac{144}{1}$

WY = $\frac{194}{144}$

WY = $\frac{97}{72}$ = 1.35

$\frac{144}{1}= \frac{130}{WZ}$

WZ = $\frac{130}{144}$

WZ = $\frac{65}{72}$ = 0.90

b). tan(A) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{144}{130}$

= $\frac{72}{65}$

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure $\frac{72}{65}$ .

8 0

3 years ago

What's the answer to #9

zavuch27 [327]

50=t/2+8
50-8=t/2
42=t/2
2×42=t
84=t

check: 50=84/2+8
50= 42+8
50=50

7 0

3 years ago

Read 2 more answers

a local community theather 240 tickets for Saturday nights performance they sold 180 more st full price then the discount ticket

gizmo_the_mogwai [7]

Question:

The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?

Answer:

$x = 180 + y$

$x + y = 240$

Step-by-step explanation:

Given

$Tickets = 240$

Represent the number of full price with x and discounted price with y.

From the question:

x = 180 more than y

So:

$x = 180 + y$

Also, a total of 240 were sold.

So:

$x + y = 240$

Hence, the equations are:

$x = 180 + y$

$x + y = 240$

Solving further;

Substitute 180 + y for x in $x + y = 240$

$180 + y + y = 240$

$180 + 2y = 240$

Solve for 2y

$2y = 240 - 180$

$2y = 60$

Divide through by 2

$y = 30$

Recall that: $x = 180 + y$

$x = 180 + 30$

$x = 210$

Hence:

Full Price = 210

Discounted = 30

3 0

3 years ago

A 9cm wife cross section pipe has a height of 13cm . What is the volume of the pipe

rjkz [21]

I think you meant "wide." :) Since it is a pipe, you should know that it is the shape of a cylinder. Therefore, the formula would be: πr^2h. Substitute the height for h. (π(4.5)^2(13). Since it's 9 cm wide total, divide it by 2 to get the radius (part of formula), which is 4.5 So multiply π times 4.5^2 (which equals 20.25) times 13. This all will equal 826.605. You can simplify this decimal to 827. Therefore, the volume is 827 cm^3.

7 0

3 years ago

Amani is calculating the slope of the trend line in the scatterplot below. On a graph, a trend line goes through points (3, 60)

yKpoI14uk [10]

Answer:

amani has to use the positive line

8 0

3 years ago

Read 2 more answers