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A rectangle \( A B C D \) is to be drawn on a centimetre grid such that
\( A \) has coordinates \( (-4,-2) \)
\( B \) has coordinates \( (1,10) \)
\( C \) has coordinates \( (19, a) \)
\( D \) has coordinates \( (b, c) \)
Work out the value of \( a \), the value of \( b \) and the value of \( c \).
(4 marks)
\( \theta a= \)
\( \theta b= \)
\( \theta c= \)
Geometry
Jan 24, 2025
Un prisma retto a base quadrata ha lo
spigolo di base e l'altezza che misura-
no rispettivamente 8 cm e 5 cm . Calcola
l'area della superficie totale del prisma.
Geometry
Jan 24, 2025
1. If the sum of all the elements of a \( 3 \times 3 \) scalar matrix is 9 , then the product of all its elements i
\( \begin{array}{llll}\text { (a) } 0 & \text { (b) } 9 & \text { (c) } 27\end{array} \)
2. Let \( f: R, \rightarrow[-5, a c) \) be defined \( a s f(x)=9 x^{2}+6 x-5 \), where \( R \), is the set of all non-negative re.
Algebra
Jan 24, 2025
132 NELLAREALTA Arianna ha
comprato tre fogli di carta
da regalo per confezionare
i pacchetti natalizi. Ogni
foglio ha le dimensioni 8
dm e \( 1,5 \mathrm{~m} \) e da ognuno
di essi vuole ricavare dei
pezzi rettangolari aventi le
dimensioni di 50 cm e 40 cm . Quanti pezz
potrà ricavare?
Geometry
Jan 23, 2025
If f(x) is an exponential function of the form of y=ab^{x} where f(4)=16 and f(4.5)=54, then find the value of f(5), to the nearest hundredth.
Pre Calculus
Jan 23, 2025
A husband and wife discover that there is a \( 4 \% \) probability of their passing on a hereditary disease to any of their
children. If they plan to have three children, what is the probability of the event that at least one child will inherit
the disease?
The probability is \( \square \% \).
(Round to one decimal place as needed.)
Probability
Jan 23, 2025
.1 Write 56,84 and 104 each as a product of their
prime factors, showing all your working.
2 Give the HCF of 56,84 and 104 .
1 Write 12 and 18 each as a product of their
prime factors.
2 Hence, give the lowest common multiple of
12 and 18 , i.e. the LCM:
.3 Now write 70 as a product of its prime factors,
(3)
and hence find the LCM of 12,18 and 70 .
Arithmetic
Jan 22, 2025
\begin{tabular}{l} Nel triangolo \( L M N \) il lato \( L M \) è lungo 60 cm e \\ l'angolo \( M \hat{L} N \) ha ampiezza \( 30^{\circ} \). Sapendo che \\ \( \cos L \widehat{N} M=\frac{2}{3} \sqrt{2} \), determina gli altri lati del \\ triangolo. \\ \( \qquad M N=90 \mathrm{~cm} ; L N=30(2,2+\sqrt{2}) \mathrm{cm} \mid \) \\ \hline\end{tabular}
Trigonometry
Jan 22, 2025
Math Essentials and How UpStudy Enhances Your Learning
Who Invented Math?
Math was less invented than found. Its roots are in prehistoric societies including Greece, Babylonia, and Egypt where early mathematical ideas including geometry, arithmetic, and simple number systems first found expression. While building on past contributions by others who came before, Euclid and Pythagoras were crucial in establishing mathematical theory during this age; today Carl Friedrich Gauss and Terence Tao continue to greatly enhance modern math.
What Does 'Mean' Mean in Math?
In math, the 'mean' is a type of average. To calculate the mean, you add all the numbers in a set together and divide by the number of values. This gives you a single number that represents the central tendency of the data. For example, if five students have scores of 8, 9, 5, 6, and 7, you add them up (35) and divide by 5, which gives a mean of 7. It’s an essential tool in statistics and helps summarize a set of data with just one number.
What Does 'Product' Mean in Math?
In math, the 'product' refers to the result you get when two or more numbers (called factors) are multiplied together. For example, the product of 2 and 3 is 6, since 2 × 3 = 6. The product is an essential concept in many areas of math, including algebra and geometry. It’s useful in everyday life too, such as when calculating the total cost of multiple items or determining the area of a rectangle.
How Can UpStudy Math Homework Bank Help You?
UpStudy Math Homework Bank is an invaluable tool for students aiming to excel at their math homework. By offering step-by-step solutions, students can quickly learn how to solve problems, understand key concepts, and enhance their problem-solving abilities. With basic arithmetic to advanced calculus topics covered on this platform - whether you need help solving an equation or want a revision ahead of an upcoming test - UpStudy Math Homework Bank provides the resources you need for success!
